Details

Time bar (total: 10.4s)

analyze218.0ms (2.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
3.1%93.7%3.2%6
15.6%73.4%11%7
20.3%67.9%11.8%8
28.9%55.8%15.3%9
31.6%52.9%15.5%10
36.1%46.7%17.2%11
37.6%45.2%17.2%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.0s (19%)

Results
928.0ms6415×body256valid
385.0ms1073×body1024valid
209.0ms1765×body256invalid
168.0ms527×body1024invalid
164.0ms706×body512valid
67.0ms322×body512invalid
32.0ms62×body2048valid

preprocess127.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
1792×fma-neg_binary64
711×div-sub_binary64
504×times-frac_binary64
485×sub-neg_binary64
360×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01636
13834
27330
316030
435830
581330
6220130
7560430
8627230
9659330
10708130
11735130
12762530
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 y x) (-.f64 1 x)))))
Outputs
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 y x) (-.f64 1 x)))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 (-.f64 y x)) (-.f64 1 x))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 1 x))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 x -1))))
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify114.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1264×fma-neg_binary64
1110×fma-def_binary64
494×cancel-sign-sub-inv_binary64
382×sub-neg_binary64
367×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01018
12217
24017
38615
420315
543915
6101815
7260915
8436715
9511415
10568915
11663515
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
Outputs
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))

eval1.0ms (0%)

Compiler

Compiled 24 to 17 computations (29.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
18.3b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶18.3b
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
Compiler

Compiled 12 to 9 computations (25% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x y) (+.f64 y -1))
✓2.0b
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
Compiler

Compiled 37 to 20 computations (45.9% saved)

series11.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@0
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
2.0ms
y
@-inf
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
1.0ms
x
@0
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
1.0ms
x
@-inf
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
1.0ms
y
@inf
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))

rewrite124.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
898×prod-diff_binary64
463×log-prod_binary64
280×fma-def_binary64
278×pow-prod-down_binary64
251×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
118122
2270622
Stop Event
1×node limit
Counts
2 → 252
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
(/.f64 (-.f64 x y) (+.f64 y -1))
Outputs
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(-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y -1))) 2) (cbrt.f64 (/.f64 x (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 y -1))) (sqrt.f64 (/.f64 x (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) -2) (/.f64 x (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 y -1) -1/2) (/.f64 x (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y -1))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (neg.f64 y)) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 y y -1)) (+.f64 y 1) (neg.f64 (/.f64 y (+.f64 y -1))))))))

simplify66.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
900×times-frac_binary64
640×fma-def_binary64
473×associate-/l*_binary64
449×associate-/r*_binary64
336×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01801645
15671364
221771233
Stop Event
1×node limit
Counts
300 → 325
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))))
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2))))))
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (log.f64 (/.f64 1 (-.f64 y 1)))))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3)))))))
(log.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))) (*.f64 -6 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))))))) (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 (-.f64 x 1)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y)))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (*.f64 -6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y))))))
(*.f64 -1 (/.f64 y (-.f64 y 1)))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(/.f64 x (-.f64 y 1))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(/.f64 x (-.f64 y 1))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(*.f64 -1 x)
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 -1 x))
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x)))
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x))))
-1
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
-1
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))) (+.f64 (/.f64 1 y) 1))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
Outputs
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))
(log1p.f64 (neg.f64 (/.f64 y (+.f64 y -1))))
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))))
(+.f64 (log1p.f64 (neg.f64 (/.f64 y (+.f64 y -1)))) (/.f64 (/.f64 x (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1))))) (+.f64 y -1)))
(+.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))))
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2))))))
(+.f64 (/.f64 (/.f64 x (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1))))) (+.f64 y -1)) (+.f64 (log1p.f64 (neg.f64 (/.f64 y (+.f64 y -1)))) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 2) (pow.f64 (+.f64 y -1) 2))))))
(+.f64 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) (fma.f64 -1/2 (/.f64 x (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) (pow.f64 (+.f64 -1 y) 2)) x)) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) (fma.f64 (/.f64 -1/2 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (/.f64 (*.f64 x x) (pow.f64 (+.f64 -1 y) 2)) (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))))
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))))))
(+.f64 (/.f64 (/.f64 x (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1))))) (+.f64 y -1)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 3) (pow.f64 (+.f64 y -1) 3))) (+.f64 (log1p.f64 (neg.f64 (/.f64 y (+.f64 y -1)))) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 2) (pow.f64 (+.f64 y -1) 2)))))))
(+.f64 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3) (pow.f64 (+.f64 -1 y) 3))) (fma.f64 -1/2 (/.f64 x (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) (pow.f64 (+.f64 -1 y) 2)) x)) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))))
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(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (neg.f64 (/.f64 y (+.f64 y -1))) (/.f64 x (+.f64 y -1)))
(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(/.f64 x (+.f64 -1 y))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (neg.f64 (/.f64 y (+.f64 y -1))) (/.f64 x (+.f64 y -1)))
(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (neg.f64 (/.f64 y (+.f64 y -1))) (/.f64 x (+.f64 y -1)))
(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (neg.f64 (/.f64 y (+.f64 y -1))) (/.f64 x (+.f64 y -1)))
(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 -1 x))
(fma.f64 y (-.f64 1 x) (neg.f64 x))
(-.f64 (fma.f64 y (neg.f64 x) y) x)
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x)))
(fma.f64 y (-.f64 1 x) (fma.f64 (*.f64 y y) (-.f64 1 x) (neg.f64 x)))
(-.f64 (*.f64 (-.f64 1 x) (+.f64 y (*.f64 y y))) x)
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x))))
(fma.f64 y (-.f64 1 x) (fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 (*.f64 y y) (-.f64 1 x) (neg.f64 x))))
(fma.f64 y (-.f64 1 x) (-.f64 (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) (*.f64 y y))) x))
(-.f64 (*.f64 (-.f64 1 x) (+.f64 y (+.f64 (pow.f64 y 3) (*.f64 y y)))) x)
-1
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))
(-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y)))
(-.f64 (-.f64 (/.f64 x y) 1) (/.f64 1 y))
(+.f64 (+.f64 (/.f64 x y) -1) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) (+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))))
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 (*.f64 y y)))) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) (/.f64 -1 (pow.f64 y 3)))))
-1
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))
(-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y)))
(-.f64 (-.f64 (/.f64 x y) 1) (/.f64 1 y))
(+.f64 (+.f64 (/.f64 x y) -1) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))) (+.f64 (/.f64 1 y) 1))
(-.f64 (+.f64 (/.f64 x y) (neg.f64 (/.f64 (-.f64 1 x) (*.f64 y y)))) (+.f64 1 (/.f64 1 y)))
(+.f64 (-.f64 (-.f64 (/.f64 x y) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 1 y)) -1)
(+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (+.f64 (/.f64 x y) -1) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (/.f64 x y) (neg.f64 (/.f64 (-.f64 1 x) (*.f64 y y)))) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (-.f64 (/.f64 x y) (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 y)))))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (+.f64 (/.f64 x y) (/.f64 (+.f64 -1 x) (*.f64 y y))) (+.f64 (+.f64 -1 (/.f64 -1 y)) (/.f64 -1 (pow.f64 y 3)))))

eval243.0ms (2.3%)

Compiler

Compiled 13303 to 9400 computations (29.3% saved)

prune63.0ms (0.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New31312325
Fresh000
Picked011
Done000
Total31313326
Error
0.1b
Counts
326 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
54.7b
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))))
▶57.4b
(-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))
37.6b
(-.f64 1 (-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 x y)) -2))) (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1))))))
▶64.0b
(-.f64 1 (log1p.f64 -1))
▶18.1b
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
▶16.6b
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
38.1b
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))
✓18.3b
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
43.5b
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) (/.f64 1/2 (*.f64 y y)))))
43.0b
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (log1p.f64 (neg.f64 x)) (/.f64 -1 y))))
▶26.3b
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
42.9b
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))
24.5b
(-.f64 1 (log1p.f64 (neg.f64 x)))
Compiler

Compiled 330 to 263 computations (20.3% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (/.f64 x (-.f64 y 1)))
Compiler

Compiled 27 to 18 computations (33.3% saved)

series7.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(log1p.f64 (/.f64 x (-.f64 y 1)))
1.0ms
y
@0
(log1p.f64 (/.f64 x (-.f64 y 1)))
1.0ms
x
@0
(log1p.f64 (/.f64 x (-.f64 y 1)))
1.0ms
x
@inf
(log1p.f64 (/.f64 x (-.f64 y 1)))
1.0ms
y
@-inf
(log1p.f64 (/.f64 x (-.f64 y 1)))

rewrite56.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
764×pow1_binary64
710×add-log-exp_binary64
709×expm1-log1p-u_binary64
708×log1p-expm1-u_binary64
695×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11489
219419
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(log1p.f64 (/.f64 x (-.f64 y 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) 2) (cbrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))))))))

simplify69.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
703×fma-def_binary64
448×associate-+l+_binary64
345×associate-*r*_binary64
336×associate-*l*_binary64
328×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0147962
1430909
21496833
37422830
Stop Event
1×node limit
Counts
39 → 58
Calls
Call 1
Inputs
(/.f64 x (-.f64 y 1))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2))))
(+.f64 (/.f64 x (-.f64 y 1)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 y 1) 3))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2)))))
(+.f64 (/.f64 x (-.f64 y 1)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 y 1) 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2))) (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 y 1) 4))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2))) (log.f64 (/.f64 1 (-.f64 y 1)))))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2))) (log.f64 (/.f64 1 (-.f64 y 1))))))) (/.f64 1 x))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2)))))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2))))))) (/.f64 1 x))
(log.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 x (+.f64 1 (*.f64 -1 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 x (+.f64 1 (*.f64 -1 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (*.f64 -6 (/.f64 x (+.f64 1 (*.f64 -1 x)))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x))))))
(/.f64 x y)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 6 x) (*.f64 -6 (pow.f64 x 2)))) (pow.f64 y 3))) (/.f64 x y)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 6 x) (*.f64 -6 (pow.f64 x 2)))) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 1/24 (/.f64 (+.f64 (*.f64 24 (pow.f64 x 3)) (+.f64 (*.f64 24 x) (+.f64 (*.f64 -6 (pow.f64 x 4)) (+.f64 (*.f64 -24 (pow.f64 x 2)) (*.f64 -12 (pow.f64 x 2)))))) (pow.f64 y 4))))))
(/.f64 x y)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 x 2)) (+.f64 (*.f64 -6 x) (*.f64 -2 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y)))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 x 2)) (+.f64 (*.f64 -6 x) (*.f64 -2 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (/.f64 x y) (*.f64 1/24 (/.f64 (+.f64 (*.f64 24 (pow.f64 x 3)) (+.f64 (*.f64 24 x) (+.f64 (*.f64 -6 (pow.f64 x 4)) (+.f64 (*.f64 -24 (pow.f64 x 2)) (*.f64 -12 (pow.f64 x 2)))))) (pow.f64 y 4))))))
Outputs
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2))))
(+.f64 (/.f64 x (+.f64 y -1)) (/.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (+.f64 y -1) 2)))
(fma.f64 -1/2 (/.f64 x (/.f64 (pow.f64 (+.f64 y -1) 2) x)) (/.f64 x (+.f64 y -1)))
(fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 y -1) 2)) x) (/.f64 x (+.f64 y -1)))
(+.f64 (/.f64 x (-.f64 y 1)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 y 1) 3))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2)))))
(+.f64 (/.f64 x (+.f64 y -1)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 3)) (/.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (+.f64 y -1) 2))))
(+.f64 (fma.f64 -1/2 (/.f64 x (/.f64 (pow.f64 (+.f64 y -1) 2) x)) (/.f64 x (+.f64 y -1))) (/.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 (+.f64 y -1) 3)))
(fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 y -1) 2)) x) (fma.f64 1/3 (pow.f64 (/.f64 x (+.f64 y -1)) 3) (/.f64 x (+.f64 y -1))))
(+.f64 (/.f64 x (-.f64 y 1)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 y 1) 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2))) (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 y 1) 4))))))
(+.f64 (/.f64 x (+.f64 y -1)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 3)) (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2)) (/.f64 (*.f64 -1/4 (pow.f64 x 4)) (pow.f64 (+.f64 y -1) 4)))))
(+.f64 (/.f64 x (+.f64 y -1)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 3)) (fma.f64 -1/2 (/.f64 x (/.f64 (pow.f64 (+.f64 y -1) 2) x)) (/.f64 (*.f64 -1/4 (pow.f64 x 4)) (pow.f64 (+.f64 y -1) 4)))))
(+.f64 (/.f64 x (+.f64 y -1)) (fma.f64 1/3 (pow.f64 (/.f64 x (+.f64 y -1)) 3) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 y -1) 2)) x) (*.f64 (/.f64 -1/4 (pow.f64 (+.f64 y -1) 4)) (pow.f64 x 4)))))
(+.f64 (/.f64 x (+.f64 y -1)) (fma.f64 1/3 (pow.f64 (/.f64 x (+.f64 y -1)) 3) (fma.f64 -1/4 (pow.f64 (/.f64 x (+.f64 y -1)) 4) (/.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 (+.f64 y -1) 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1))))
(-.f64 (log.f64 x) (log.f64 (+.f64 y -1)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) (/.f64 1 x))
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(+.f64 (-.f64 (+.f64 (log.f64 x) (/.f64 y x)) (log.f64 (+.f64 y -1))) (/.f64 -1 x))
(+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 y -1))) (/.f64 (+.f64 y -1) x))
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(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 y -1) x) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)) (log.f64 (/.f64 -1 (+.f64 y -1))))) (log.f64 (/.f64 -1 x))) (/.f64 (+.f64 y -1) x))
(log.f64 (+.f64 1 (*.f64 -1 x)))
(log1p.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 -1 (/.f64 y (/.f64 (+.f64 1 (neg.f64 x)) x)) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (neg.f64 x)) (*.f64 (/.f64 y (-.f64 1 x)) x))
(-.f64 (log1p.f64 (neg.f64 x)) (*.f64 x (/.f64 y (-.f64 1 x))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 x (+.f64 1 (*.f64 -1 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 1/2 (*.f64 (fma.f64 -2 (/.f64 x (+.f64 1 (neg.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 1 (neg.f64 x)) 2))) (*.f64 y y)) (fma.f64 -1 (/.f64 y (/.f64 (+.f64 1 (neg.f64 x)) x)) (log1p.f64 (neg.f64 x))))
(fma.f64 1/2 (*.f64 (-.f64 (*.f64 -2 (/.f64 x (-.f64 1 x))) (/.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) x))) (*.f64 y y)) (-.f64 (log1p.f64 (neg.f64 x)) (*.f64 (/.f64 y (-.f64 1 x)) x)))
(-.f64 (fma.f64 1/2 (*.f64 y (*.f64 y (*.f64 (/.f64 x (-.f64 1 x)) (-.f64 -2 (/.f64 x (-.f64 1 x)))))) (log1p.f64 (neg.f64 x))) (*.f64 x (/.f64 y (-.f64 1 x))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 x (+.f64 1 (*.f64 -1 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (*.f64 -6 (/.f64 x (+.f64 1 (*.f64 -1 x)))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x))))))
(fma.f64 1/2 (*.f64 (fma.f64 -2 (/.f64 x (+.f64 1 (neg.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 1 (neg.f64 x)) 2))) (*.f64 y y)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 -6 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (neg.f64 x)) 2)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (neg.f64 x)) 3)) (/.f64 (*.f64 x -6) (+.f64 1 (neg.f64 x)))))) (fma.f64 -1 (/.f64 y (/.f64 (+.f64 1 (neg.f64 x)) x)) (log1p.f64 (neg.f64 x)))))
(fma.f64 1/2 (*.f64 (-.f64 (*.f64 -2 (/.f64 x (-.f64 1 x))) (/.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) x))) (*.f64 y y)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 (/.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) x)) -6 (fma.f64 (/.f64 x (-.f64 1 x)) -6 (/.f64 (*.f64 (pow.f64 x 3) -2) (pow.f64 (-.f64 1 x) 3))))) (-.f64 (log1p.f64 (neg.f64 x)) (*.f64 (/.f64 y (-.f64 1 x)) x))))
(fma.f64 1/2 (*.f64 y (*.f64 y (*.f64 (/.f64 x (-.f64 1 x)) (-.f64 -2 (/.f64 x (-.f64 1 x)))))) (-.f64 (fma.f64 (pow.f64 y 3) (*.f64 1/6 (fma.f64 -2 (pow.f64 (/.f64 x (-.f64 1 x)) 3) (*.f64 -6 (+.f64 (/.f64 x (-.f64 1 x)) (*.f64 (/.f64 x (pow.f64 (-.f64 1 x) 2)) x))))) (log1p.f64 (neg.f64 x))) (*.f64 x (/.f64 y (-.f64 1 x)))))
(/.f64 x y)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)) (/.f64 x y))
(fma.f64 1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (/.f64 x y))
(fma.f64 1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 6 x) (*.f64 -6 (pow.f64 x 2)))) (pow.f64 y 3))) (/.f64 x y)))
(fma.f64 1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)) (fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 6 x (*.f64 (*.f64 x x) -6))) (pow.f64 y 3)) (/.f64 x y)))
(fma.f64 1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 (*.f64 x x) -6 (*.f64 x 6))) (pow.f64 y 3)) (/.f64 x y)))
(fma.f64 1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (fma.f64 1/6 (/.f64 (fma.f64 x 6 (*.f64 (*.f64 x x) (+.f64 -6 (*.f64 x 2)))) (pow.f64 y 3)) (/.f64 x y)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 6 x) (*.f64 -6 (pow.f64 x 2)))) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 1/24 (/.f64 (+.f64 (*.f64 24 (pow.f64 x 3)) (+.f64 (*.f64 24 x) (+.f64 (*.f64 -6 (pow.f64 x 4)) (+.f64 (*.f64 -24 (pow.f64 x 2)) (*.f64 -12 (pow.f64 x 2)))))) (pow.f64 y 4))))))
(fma.f64 1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)) (+.f64 (fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 6 x (*.f64 (*.f64 x x) -6))) (pow.f64 y 3)) (/.f64 x y)) (*.f64 1/24 (/.f64 (fma.f64 24 (pow.f64 x 3) (fma.f64 24 x (fma.f64 -6 (pow.f64 x 4) (*.f64 (*.f64 x x) -36)))) (pow.f64 y 4)))))
(fma.f64 1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 (*.f64 x x) -6 (*.f64 x 6))) (pow.f64 y 3)) (fma.f64 1/24 (/.f64 (fma.f64 (pow.f64 x 3) 24 (fma.f64 x 24 (fma.f64 (*.f64 x x) -36 (*.f64 (pow.f64 x 4) -6)))) (pow.f64 y 4)) (/.f64 x y))))
(fma.f64 1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (fma.f64 1/6 (/.f64 (fma.f64 x 6 (*.f64 (*.f64 x x) (+.f64 -6 (*.f64 x 2)))) (pow.f64 y 3)) (fma.f64 1/24 (/.f64 (fma.f64 24 (+.f64 x (pow.f64 x 3)) (fma.f64 (pow.f64 x 4) -6 (*.f64 (*.f64 x x) -36))) (pow.f64 y 4)) (/.f64 x y))))
(/.f64 x y)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)) (/.f64 x y))
(fma.f64 1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (/.f64 x y))
(fma.f64 1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (/.f64 x y))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 x 2)) (+.f64 (*.f64 -6 x) (*.f64 -2 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y)))
(fma.f64 -1/6 (/.f64 (fma.f64 6 (*.f64 x x) (fma.f64 -6 x (*.f64 (pow.f64 x 3) -2))) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)) (/.f64 x y)))
(fma.f64 -1/6 (/.f64 (fma.f64 (*.f64 x x) 6 (fma.f64 x -6 (*.f64 (pow.f64 x 3) -2))) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (/.f64 x y)))
(fma.f64 -1/6 (/.f64 (fma.f64 x -6 (*.f64 (*.f64 x x) (+.f64 6 (*.f64 x -2)))) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (/.f64 x y)))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 x 2)) (+.f64 (*.f64 -6 x) (*.f64 -2 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (/.f64 x y) (*.f64 1/24 (/.f64 (+.f64 (*.f64 24 (pow.f64 x 3)) (+.f64 (*.f64 24 x) (+.f64 (*.f64 -6 (pow.f64 x 4)) (+.f64 (*.f64 -24 (pow.f64 x 2)) (*.f64 -12 (pow.f64 x 2)))))) (pow.f64 y 4))))))
(fma.f64 -1/6 (/.f64 (fma.f64 6 (*.f64 x x) (fma.f64 -6 x (*.f64 (pow.f64 x 3) -2))) (pow.f64 y 3)) (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)) (/.f64 x y)) (*.f64 1/24 (/.f64 (fma.f64 24 (pow.f64 x 3) (fma.f64 24 x (fma.f64 -6 (pow.f64 x 4) (*.f64 (*.f64 x x) -36)))) (pow.f64 y 4)))))
(fma.f64 -1/6 (/.f64 (fma.f64 (*.f64 x x) 6 (fma.f64 x -6 (*.f64 (pow.f64 x 3) -2))) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (fma.f64 1/24 (/.f64 (fma.f64 (pow.f64 x 3) 24 (fma.f64 x 24 (fma.f64 (*.f64 x x) -36 (*.f64 (pow.f64 x 4) -6)))) (pow.f64 y 4)) (/.f64 x y))))
(fma.f64 1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (fma.f64 -1/6 (/.f64 (fma.f64 x -6 (*.f64 (*.f64 x x) (+.f64 6 (*.f64 x -2)))) (pow.f64 y 3)) (fma.f64 1/24 (/.f64 (fma.f64 24 (+.f64 x (pow.f64 x 3)) (fma.f64 (pow.f64 x 4) -6 (*.f64 (*.f64 x x) -36))) (pow.f64 y 4)) (/.f64 x y))))

localize9.0ms (0.1%)

Compiler

Compiled 10 to 10 computations (0% saved)

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 y (log1p.f64 (neg.f64 x)))
Compiler

Compiled 22 to 8 computations (63.6% saved)

series15.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
12.0ms
y
@0
(+.f64 y (log1p.f64 (neg.f64 x)))
1.0ms
x
@inf
(+.f64 y (log1p.f64 (neg.f64 x)))
1.0ms
x
@-inf
(+.f64 y (log1p.f64 (neg.f64 x)))
1.0ms
y
@inf
(+.f64 y (log1p.f64 (neg.f64 x)))
1.0ms
x
@0
(+.f64 y (log1p.f64 (neg.f64 x)))

rewrite72.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
619×pow1_binary64
576×add-log-exp_binary64
575×expm1-log1p-u_binary64
574×log1p-expm1-u_binary64
563×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068
11306
218016
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 y (log1p.f64 (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 y (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (-.f64 y (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (log1p.f64 x))) (pow.f64 (cbrt.f64 (+.f64 y (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (log1p.f64 x))) 2) (cbrt.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (log1p.f64 x))) (sqrt.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 y y (*.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (-.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) y))) (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (log1p.f64 x)) (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 y y (*.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 y y) (*.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2)) (-.f64 y (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 y y (*.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (-.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y)) (-.f64 (log1p.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (log1p.f64 x))))))

simplify72.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
503×associate-+l-_binary64
485×fma-def_binary64
412×associate--l+_binary64
394×associate-/r*_binary64
317×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050316
1145287
2401283
31446278
45584278
Stop Event
1×node limit
Counts
57 → 60
Calls
Call 1
Inputs
(log.f64 (-.f64 1 x))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
y
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
y
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 y (log.f64 (-.f64 1 x)))
y
(+.f64 y (*.f64 -1 x))
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))))
(+.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
Outputs
(log.f64 (-.f64 1 x))
(log1p.f64 (neg.f64 x))
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 (log.f64 (-.f64 1 x)) y)
(+.f64 (log1p.f64 (neg.f64 x)) y)
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 (log.f64 (-.f64 1 x)) y)
(+.f64 (log1p.f64 (neg.f64 x)) y)
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 (log.f64 (-.f64 1 x)) y)
(+.f64 (log1p.f64 (neg.f64 x)) y)
y
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 (log.f64 (-.f64 1 x)) y)
(+.f64 (log1p.f64 (neg.f64 x)) y)
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 (log.f64 (-.f64 1 x)) y)
(+.f64 (log1p.f64 (neg.f64 x)) y)
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 (log.f64 (-.f64 1 x)) y)
(+.f64 (log1p.f64 (neg.f64 x)) y)
y
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 (log.f64 (-.f64 1 x)) y)
(+.f64 (log1p.f64 (neg.f64 x)) y)
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 (log.f64 (-.f64 1 x)) y)
(+.f64 (log1p.f64 (neg.f64 x)) y)
(+.f64 y (log.f64 (-.f64 1 x)))
(+.f64 (log.f64 (-.f64 1 x)) y)
(+.f64 (log1p.f64 (neg.f64 x)) y)
y
(+.f64 y (*.f64 -1 x))
(+.f64 y (neg.f64 x))
(-.f64 y x)
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 y (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 y x))
(fma.f64 x (fma.f64 x -1/2 -1) y)
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))))
(+.f64 y (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -1/3 (pow.f64 x 3)))))
(+.f64 y (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x))))
(fma.f64 x (*.f64 x -1/2) (-.f64 (fma.f64 -1/3 (pow.f64 x 3) y) x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2) y) x)
(+.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(+.f64 y (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))
(+.f64 y (+.f64 (log.f64 x) (log.f64 -1)))
(+.f64 (log.f64 x) (+.f64 y (log.f64 -1)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1))) (/.f64 1 x))
(+.f64 (log.f64 x) (+.f64 y (-.f64 (log.f64 -1) (/.f64 1 x))))
(+.f64 y (+.f64 (-.f64 (log.f64 -1) (/.f64 1 x)) (log.f64 x)))
(+.f64 (log.f64 x) (+.f64 y (+.f64 (log.f64 -1) (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (+.f64 y (-.f64 (log.f64 -1) (/.f64 1 x))) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 -1 x) (+.f64 y (+.f64 (log.f64 x) (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 x) (-.f64 (+.f64 y (-.f64 (log.f64 -1) (/.f64 1 x))) (/.f64 1/2 (*.f64 x x)))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (-.f64 (+.f64 y (-.f64 (log.f64 -1) (/.f64 1 x))) (/.f64 1/2 (*.f64 x x))) (-.f64 (log.f64 x) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 y (+.f64 (log.f64 x) (+.f64 (/.f64 -1 x) (+.f64 (log.f64 -1) (-.f64 (/.f64 -1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)
(fma.f64 -1 (log.f64 (/.f64 -1 x)) y)
(-.f64 y (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (/.f64 1 x))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y) (/.f64 1 x))
(+.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (/.f64 -1 x))
(+.f64 y (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x))) (-.f64 (log.f64 (/.f64 -1 x)) y))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 y (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 -1 x) (-.f64 y (/.f64 1/2 (*.f64 x x)))) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 (/.f64 -1 x))))

localize41.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 y -1))
✓0.1b
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))
✓3.7b
(log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))
Compiler

Compiled 48 to 30 computations (37.5% saved)

series10.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
y
@0
(log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))
1.0ms
y
@-inf
(log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))
1.0ms
x
@-inf
(log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))
1.0ms
x
@inf
(log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))
1.0ms
x
@0
(log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))

rewrite100.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
795×prod-diff_binary64
475×log-prod_binary64
322×pow-prod-down_binary64
276×fma-def_binary64
268×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
121129
2282529
Stop Event
1×node limit
Counts
3 → 105
Calls
Call 1
Inputs
(log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))
(/.f64 1 (+.f64 y -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 2) (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 2))) (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1))))))
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#<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (+.f64 y -1) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (+.f64 y -1) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (+.f64 y -1) (fma.f64 y (+.f64 y x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 y -1) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (fma.f64 y -1 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (fma.f64 y -1 1) (fma.f64 y (+.f64 y x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (fma.f64 y -1 1) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 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((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 y -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -1) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 y -1)) x (*.f64 (/.f64 1 (+.f64 y -1)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 y -1)) (*.f64 (neg.f64 y) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 y -1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 y -1))) (cbrt.f64 (pow.f64 (+.f64 y -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 y -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y -1) -1/2) (pow.f64 (+.f64 y -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y -1)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 y -1 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 y -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y -1))) 1))))))

simplify90.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
900×times-frac_binary64
722×fma-def_binary64
476×associate-/l*_binary64
453×associate-/r*_binary64
343×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01981824
16191535
223301397
Stop Event
1×node limit
Counts
165 → 191
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))) (*.f64 -6 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))))))) (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 (-.f64 x 1)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y)))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (*.f64 -6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y))))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))))
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2))))))
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (log.f64 (/.f64 1 (-.f64 y 1)))))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3)))))))
(*.f64 -1 x)
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 -1 x))
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x)))
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x))))
-1
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
-1
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))) (+.f64 (/.f64 1 y) 1))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(*.f64 -1 (/.f64 y (-.f64 y 1)))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(/.f64 x (-.f64 y 1))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(/.f64 x (-.f64 y 1))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
-1
(-.f64 (*.f64 -1 y) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y))) 1)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))
Outputs
(log.f64 (+.f64 1 (*.f64 -1 x)))
(log1p.f64 (neg.f64 x))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 y (/.f64 (-.f64 1 x) (-.f64 1 x)) (log1p.f64 (neg.f64 x)))
(fma.f64 1 y (log1p.f64 (neg.f64 x)))
(+.f64 (log1p.f64 (neg.f64 x)) y)
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 1/2 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 2 (/.f64 (-.f64 1 x) (-.f64 1 x)))) (*.f64 y y)) (fma.f64 y (/.f64 (-.f64 1 x) (-.f64 1 x)) (log1p.f64 (neg.f64 x))))
(fma.f64 1/2 (*.f64 y y) (fma.f64 1 y (log1p.f64 (neg.f64 x))))
(+.f64 (log1p.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 y y) y))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))) (*.f64 -6 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))))))) (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x))))))
(fma.f64 1/2 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 2 (/.f64 (-.f64 1 x) (-.f64 1 x)))) (*.f64 y y)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (fma.f64 6 (/.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) -6)))) (fma.f64 y (/.f64 (-.f64 1 x) (-.f64 1 x)) (log1p.f64 (neg.f64 x)))))
(+.f64 (fma.f64 1 y (log1p.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 y y) (*.f64 (pow.f64 y 3) 1/3)))
(+.f64 (fma.f64 1/2 (*.f64 y y) (fma.f64 (pow.f64 y 3) 1/3 y)) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1))))
(+.f64 (/.f64 1 y) (+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1))))
(+.f64 (log.f64 (+.f64 -1 x)) (-.f64 (/.f64 1 y) (log.f64 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1))) (/.f64 1/2 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (+.f64 -1 x)) (-.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 y))))
(+.f64 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 (-.f64 x 1)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 (+.f64 x -1)) (/.f64 1/3 (pow.f64 y 3))))))
(+.f64 (/.f64 1 y) (+.f64 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (/.f64 1/2 (*.f64 y y)))))
(+.f64 (/.f64 1 y) (+.f64 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3)))))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y))))
(+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) y))))
(+.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (/.f64 -1 y)) (/.f64 (/.f64 (-.f64 1 x) (+.f64 -1 x)) y)))
(+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y)))))
(fma.f64 1/2 (/.f64 (+.f64 2 (neg.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)))) (*.f64 y y)) (+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) y)))))
(fma.f64 1/2 (/.f64 (-.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 2))) (*.f64 y y)) (+.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (/.f64 -1 y)) (/.f64 (/.f64 (-.f64 1 x) (+.f64 -1 x)) y))))
(+.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (*.f64 -6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y))))))
(fma.f64 -1/6 (/.f64 (fma.f64 6 (/.f64 (-.f64 1 x) (+.f64 x -1)) (fma.f64 -6 (/.f64 (-.f64 1 x) (+.f64 x -1)) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3))))) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (+.f64 2 (neg.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)))) (*.f64 y y)) (+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) y))))))
(fma.f64 -1/6 (/.f64 (+.f64 (/.f64 (*.f64 2 (pow.f64 (-.f64 1 x) 3)) (pow.f64 (+.f64 -1 x) 3)) (*.f64 (/.f64 (-.f64 1 x) (+.f64 -1 x)) 0)) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (-.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 2))) (*.f64 y y)) (+.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (/.f64 -1 y)) (/.f64 (/.f64 (-.f64 1 x) (+.f64 -1 x)) y)))))
(+.f64 (/.f64 1/3 (pow.f64 y 3)) (+.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1)))
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))) (/.f64 x (*.f64 (+.f64 y -1) (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) (/.f64 x (*.f64 (+.f64 -1 y) (-.f64 1 (/.f64 y (+.f64 -1 y))))))
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2))))))
(+.f64 (/.f64 x (*.f64 (+.f64 y -1) (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))))) (+.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) 2) (pow.f64 (+.f64 y -1) 2))))))
(+.f64 (/.f64 x (*.f64 (+.f64 -1 y) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (/.f64 x (pow.f64 (+.f64 -1 y) 2))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))))
(+.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (/.f64 x (pow.f64 (+.f64 -1 y) 2))) (/.f64 x (*.f64 (+.f64 -1 y) (-.f64 1 (/.f64 y (+.f64 -1 y)))))))
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))))))
(+.f64 (/.f64 x (*.f64 (+.f64 y -1) (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) 3) (pow.f64 (+.f64 y -1) 3))) (+.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) 2) (pow.f64 (+.f64 y -1) 2)))))))
(+.f64 (/.f64 x (*.f64 (+.f64 -1 y) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3) (pow.f64 (+.f64 -1 y) 3))) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (/.f64 x (pow.f64 (+.f64 -1 y) 2))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))))
(+.f64 (/.f64 x (*.f64 (+.f64 -1 y) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (fma.f64 (/.f64 -1/2 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (*.f64 (/.f64 x (pow.f64 (+.f64 -1 y) 2)) x) (fma.f64 (/.f64 1/3 (pow.f64 (+.f64 -1 y) 3)) (pow.f64 (/.f64 x (-.f64 1 (/.f64 y (+.f64 -1 y)))) 3) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1))))
(-.f64 (log.f64 x) (log.f64 (+.f64 -1 y)))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1)))) (/.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) (/.f64 x (+.f64 y -1))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y))) (/.f64 (+.f64 -1 y) (/.f64 x (-.f64 1 (/.f64 y (+.f64 -1 y))))))
(-.f64 (fma.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 -1 y) (log.f64 x)) (log.f64 (+.f64 -1 y)))
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(-.f64 (fma.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 -1 y) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (log.f64 x))) (log.f64 (+.f64 -1 y)))
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(+.f64 (/.f64 (+.f64 -1 y) (/.f64 x (-.f64 1 (/.f64 y (+.f64 -1 y))))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) x) (/.f64 (pow.f64 (+.f64 -1 y) 2) x)) (-.f64 (fma.f64 1/3 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 y) 3))) (log.f64 (/.f64 -1 (+.f64 -1 y)))) (log.f64 (/.f64 -1 x)))))
(fma.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 -1 y) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (fma.f64 1/3 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3) (pow.f64 (/.f64 x (+.f64 -1 y)) 3)) (-.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (log.f64 (/.f64 -1 x))))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 -1 x))
(fma.f64 y (-.f64 1 x) (neg.f64 x))
(-.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x)))
(fma.f64 y (-.f64 1 x) (fma.f64 (*.f64 y y) (-.f64 1 x) (neg.f64 x)))
(-.f64 (*.f64 (-.f64 1 x) (fma.f64 y y y)) x)
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x))))
(fma.f64 y (-.f64 1 x) (fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 (*.f64 y y) (-.f64 1 x) (neg.f64 x))))
(fma.f64 y (-.f64 1 x) (-.f64 (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) (*.f64 y y))) x))
(-.f64 (*.f64 (-.f64 1 x) (+.f64 y (*.f64 y (fma.f64 y y y)))) x)
-1
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))
(-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y)))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) -1)
(+.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) (+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))))
(-.f64 (+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 -1 y))) (+.f64 1 (/.f64 1 (*.f64 y y))))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (-.f64 (/.f64 x y) (+.f64 (+.f64 1 (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 -1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))))
-1
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))
(-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y)))
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) -1)
(+.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))) (+.f64 (/.f64 1 y) 1))
(-.f64 (+.f64 (/.f64 x y) (neg.f64 (/.f64 (-.f64 1 x) (*.f64 y y)))) (+.f64 1 (/.f64 1 y)))
(+.f64 (-.f64 (-.f64 (/.f64 x y) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 1 y)) -1)
(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 -1 (/.f64 -1 y))))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (/.f64 x y) (neg.f64 (/.f64 (-.f64 1 x) (*.f64 y y)))) (+.f64 (+.f64 1 (/.f64 1 y)) (/.f64 1 (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 x y) (/.f64 (-.f64 1 x) (*.f64 y y)))) (+.f64 1 (/.f64 1 y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 (+.f64 -1 x) (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (+.f64 -1 (/.f64 -1 y)) (/.f64 -1 (pow.f64 y 3)))))
(*.f64 -1 (/.f64 y (-.f64 y 1)))
(/.f64 (neg.f64 y) (+.f64 y -1))
(/.f64 (neg.f64 y) (+.f64 -1 y))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 (neg.f64 y) (+.f64 y -1)) (/.f64 x (+.f64 y -1)))
(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 (neg.f64 y) (+.f64 y -1)) (/.f64 x (+.f64 y -1)))
(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 (neg.f64 y) (+.f64 y -1)) (/.f64 x (+.f64 y -1)))
(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(/.f64 x (+.f64 -1 y))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 (neg.f64 y) (+.f64 y -1)) (/.f64 x (+.f64 y -1)))
(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 (neg.f64 y) (+.f64 y -1)) (/.f64 x (+.f64 y -1)))
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(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 (neg.f64 y) (+.f64 y -1)) (/.f64 x (+.f64 y -1)))
(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
(/.f64 x (-.f64 y 1))
(/.f64 x (+.f64 y -1))
(/.f64 x (+.f64 -1 y))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 (neg.f64 y) (+.f64 y -1)) (/.f64 x (+.f64 y -1)))
(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 (neg.f64 y) (+.f64 y -1)) (/.f64 x (+.f64 y -1)))
(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))
(+.f64 (/.f64 (neg.f64 y) (+.f64 y -1)) (/.f64 x (+.f64 y -1)))
(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y)))
-1
(-.f64 (*.f64 -1 y) 1)
(fma.f64 -1 y -1)
(-.f64 -1 y)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y)) 1)
(+.f64 (neg.f64 (*.f64 y y)) (fma.f64 -1 y -1))
(fma.f64 -1 (fma.f64 y y y) -1)
(-.f64 -1 (fma.f64 y y y))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y))) 1)
(+.f64 (fma.f64 -1 (*.f64 y y) (fma.f64 -1 (pow.f64 y 3) (neg.f64 y))) -1)
(fma.f64 -1 (*.f64 y y) (fma.f64 -1 (+.f64 y (pow.f64 y 3)) -1))
(fma.f64 -1 (*.f64 y (fma.f64 y y y)) (-.f64 -1 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 4)) (/.f64 1 (*.f64 y y)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))
(+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 4)) (/.f64 1 (*.f64 y y)))))

localize20.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
Compiler

Compiled 31 to 20 computations (35.5% saved)

series64.0ms (0.6%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
41.0ms
y
@0
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
14.0ms
y
@-inf
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
7.0ms
y
@inf
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
1.0ms
x
@-inf
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
1.0ms
x
@0
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))

rewrite66.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
956×pow1_binary64
887×add-log-exp_binary64
887×log1p-expm1-u_binary64
887×expm1-log1p-u_binary64
871×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
11719
223149
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 -1 x)) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 -1 x)) (*.f64 (neg.f64 (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2) (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 3) (pow.f64 (log.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (pow.f64 (log.f64 y) 2)) (/.f64 1 (log.f64 (*.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 -1 x))) (sqrt.f64 (log.f64 y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 -1 x))) (sqrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y)))) (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 3) (pow.f64 (log.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (*.f64 (+.f64 -1 x) y)) (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (pow.f64 (log.f64 y) 2)) (log.f64 (*.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 3) (pow.f64 (log.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (pow.f64 (log.f64 y) 2))) (neg.f64 (log.f64 (*.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (-.f64 (*.f64 (neg.f64 (log.f64 y)) (neg.f64 (log.f64 y))) (*.f64 (log.f64 (+.f64 -1 x)) (neg.f64 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (*.f64 (neg.f64 (log.f64 y)) (neg.f64 (log.f64 y)))) (-.f64 (log.f64 (+.f64 -1 x)) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 -1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 -1 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (+.f64 -1 x)) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 x))) 2) (cbrt.f64 (log.f64 (+.f64 -1 x))) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (+.f64 -1 x))) (sqrt.f64 (log.f64 (+.f64 -1 x))) (neg.f64 (log.f64 y)))))))

simplify124.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
774×sub-neg_binary64
529×unsub-neg_binary64
442×fma-neg_binary64
367×distribute-neg-in_binary64
358×associate--l-_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062385
1183346
2538341
32095340
45178340
Stop Event
1×node limit
Counts
59 → 59
Calls
Call 1
Inputs
(-.f64 (log.f64 -1) (log.f64 y))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 x)) (log.f64 y))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 -1) (*.f64 -1 x))) (log.f64 y))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))) (log.f64 y))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (log.f64 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (log.f64 y))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (log.f64 y)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 y))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (/.f64 1 x) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (log.f64 y))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (log.f64 y)))))
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
Outputs
(-.f64 (log.f64 -1) (log.f64 y))
(log.f64 (/.f64 -1 y))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 x)) (log.f64 y))
(-.f64 (+.f64 (log.f64 -1) (neg.f64 x)) (log.f64 y))
(+.f64 (neg.f64 x) (log.f64 (/.f64 -1 y)))
(-.f64 (log.f64 (/.f64 -1 y)) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 -1) (*.f64 -1 x))) (log.f64 y))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (+.f64 (log.f64 -1) (neg.f64 x))) (log.f64 y))
(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) (log.f64 -1)) x) (log.f64 y))
(fma.f64 x (*.f64 x -1/2) (-.f64 (log.f64 (/.f64 -1 y)) x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))) (log.f64 y))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (+.f64 (log.f64 -1) (fma.f64 -1 x (*.f64 -1/3 (pow.f64 x 3))))) (log.f64 y))
(fma.f64 -1/2 (*.f64 x x) (+.f64 (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)) (log.f64 (/.f64 -1 y))))
(+.f64 (-.f64 (log.f64 (/.f64 -1 y)) x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/3) -1/2)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (-.f64 (log.f64 (/.f64 -1 y)) x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 y))
(-.f64 (log.f64 x) (log.f64 y))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (log.f64 y)))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (log.f64 y) (/.f64 1 x)))
(-.f64 (log.f64 x) (+.f64 (log.f64 y) (/.f64 1 x)))
(+.f64 (log.f64 x) (-.f64 (/.f64 -1 x) (log.f64 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (log.f64 y))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))
(-.f64 (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 x x))) (+.f64 (log.f64 y) (/.f64 1 x)))
(+.f64 (+.f64 (log.f64 x) (-.f64 (/.f64 -1 x) (log.f64 y))) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (/.f64 -1 x) (-.f64 (-.f64 (log.f64 x) (/.f64 (/.f64 1/2 x) x)) (log.f64 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (log.f64 y)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 x x))) (+.f64 (log.f64 y) (/.f64 1 x))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (+.f64 (-.f64 (/.f64 -1 x) (log.f64 y)) (/.f64 -1/2 (*.f64 x x))) (-.f64 (log.f64 x) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 x) (-.f64 (/.f64 -1 x) (log.f64 y))) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (-.f64 (/.f64 -1 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 1/2 (/.f64 1/3 x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 y))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 y))
(-.f64 (log.f64 x) (log.f64 y))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (/.f64 1 x) (log.f64 y)))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (log.f64 y) (/.f64 1 x)))
(-.f64 (log.f64 x) (+.f64 (log.f64 y) (/.f64 1 x)))
(+.f64 (log.f64 x) (-.f64 (/.f64 -1 x) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (log.f64 y))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))
(-.f64 (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 x x))) (+.f64 (log.f64 y) (/.f64 1 x)))
(+.f64 (+.f64 (log.f64 x) (-.f64 (/.f64 -1 x) (log.f64 y))) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (/.f64 -1 x) (-.f64 (-.f64 (log.f64 x) (/.f64 (/.f64 1/2 x) x)) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (log.f64 y)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 x x))) (+.f64 (log.f64 y) (/.f64 1 x))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (+.f64 (-.f64 (/.f64 -1 x) (log.f64 y)) (/.f64 -1/2 (*.f64 x x))) (-.f64 (log.f64 x) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 x) (-.f64 (/.f64 -1 x) (log.f64 y))) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (-.f64 (/.f64 -1 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 1/2 (/.f64 1/3 x)))))
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))

eval210.0ms (2%)

Compiler

Compiled 7366 to 5232 computations (29% saved)

prune81.0ms (0.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New35810368
Fresh707
Picked011
Done325
Total36813381
Error
0.0b
Counts
381 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓16.6b
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
▶24.5b
(-.f64 1 (log1p.f64 (neg.f64 x)))
36.7b
(-.f64 1 (-.f64 y x))
▶46.5b
(-.f64 1 (/.f64 x y))
▶37.4b
(-.f64 1 y)
34.7b
(-.f64 1 (/.f64 x (-.f64 y 1)))
36.6b
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
✓57.4b
(-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))
▶49.0b
(-.f64 1 (log.f64 (/.f64 -1 y)))
▶38.1b
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))
✓26.3b
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
43.5b
(-.f64 1 (+.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))))
43.0b
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))))
Compiler

Compiled 234 to 186 computations (20.5% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (log1p.f64 (neg.f64 x)))
Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 1 (log1p.f64 (neg.f64 x)))
1.0ms
x
@-inf
(-.f64 1 (log1p.f64 (neg.f64 x)))
1.0ms
x
@0
(-.f64 1 (log1p.f64 (neg.f64 x)))

rewrite74.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
519×pow1_binary64
506×add-sqr-sqrt_binary64
483×add-log-exp_binary64
483×expm1-log1p-u_binary64
482×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068
11236
215256
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (log1p.f64 (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) 2) (cbrt.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (log1p.f64 x))) (sqrt.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x)))) (-.f64 1 (pow.f64 (log1p.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (log1p.f64 x)) (-.f64 1 (pow.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 3)) (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 2)) (+.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (E.f64) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (log1p.f64 x))))))))

simplify73.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
869×sub-neg_binary64
502×fma-neg_binary64
476×associate-*l*_binary64
437×fma-def_binary64
429×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044224
1140204
2378204
31166199
43242199
57339199
Stop Event
1×node limit
Counts
40 → 50
Calls
Call 1
Inputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x)))
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 1 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
Outputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (fma.f64 x (*.f64 x 1/2) x))
(fma.f64 (fma.f64 x 1/2 1) x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x)))
(+.f64 1 (fma.f64 x (*.f64 x 1/2) (fma.f64 1/3 (pow.f64 x 3) x)))
(+.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x 1/3 1/2) x))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 1/2)) (+.f64 1 x))
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(-.f64 1 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))
(-.f64 (-.f64 1 (log.f64 x)) (log.f64 -1))
(-.f64 1 (+.f64 (log.f64 x) (log.f64 -1)))
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(+.f64 1 (-.f64 (/.f64 1 x) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 1 (log.f64 x)) (log.f64 -1)))
(+.f64 1 (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (log.f64 -1))))
(+.f64 (-.f64 1 (log.f64 x)) (-.f64 (/.f64 1 x) (log.f64 -1)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (-.f64 (-.f64 1 (log.f64 x)) (log.f64 -1)))
(+.f64 (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (log.f64 -1))) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 1 (-.f64 (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 -1)) (log.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (log.f64 x) (log.f64 -1)))))
(+.f64 (+.f64 (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (log.f64 -1))) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (+.f64 (log.f64 -1) -1))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 -1)) (+.f64 -1 (log.f64 x))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 -1 (log.f64 -1)))) (log.f64 x)))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 1 (neg.f64 (log.f64 (/.f64 -1 x))))
(+.f64 1 (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 1 (-.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 -1 x)))))
(+.f64 1 (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (neg.f64 (log.f64 (/.f64 -1 x)))))
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (neg.f64 (log.f64 (/.f64 -1 x)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))))))
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))))))

localize7.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (/.f64 x y))
Compiler

Compiled 13 to 6 computations (53.8% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 1 (/.f64 x y))
1.0ms
x
@0
(-.f64 1 (/.f64 x y))
1.0ms
y
@inf
(-.f64 1 (/.f64 x y))
1.0ms
y
@0
(-.f64 1 (/.f64 x y))
1.0ms
y
@-inf
(-.f64 1 (/.f64 x y))

rewrite73.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
708×pow1_binary64
659×add-log-exp_binary64
659×log1p-expm1-u_binary64
659×expm1-log1p-u_binary64
646×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
217147
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (cbrt.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (sqrt.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (-.f64 1 (pow.f64 (/.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 x y)) (-.f64 1 (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2))) (neg.f64 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 x) y) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (/.f64 (neg.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 x) y)))))))

simplify27.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
20×fma-def_binary64
12×sub-neg_binary64
6×+-commutative_binary64
4×*-commutative_binary64
4×associate-+l-_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08183
115147
224147
333147
444147
559147
674147
791147
8102147
9116147
Stop Event
1×saturated
Counts
52 → 33
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))

localize18.0ms (0.2%)

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (neg.f64 y) (+.f64 -1 y))
✓2.2b
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))
Compiler

Compiled 32 to 20 computations (37.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))
1.0ms
y
@inf
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))
0.0ms
y
@-inf
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))
0.0ms
y
@inf
(/.f64 (neg.f64 y) (+.f64 -1 y))
0.0ms
y
@0
(/.f64 (neg.f64 y) (+.f64 -1 y))

rewrite71.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
700×pow1_binary64
654×add-log-exp_binary64
651×expm1-log1p-u_binary64
650×log1p-expm1-u_binary64
641×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0720
115316
2224216
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))
(/.f64 (neg.f64 y) (+.f64 -1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 2) (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 y (+.f64 y -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 y (+.f64 y -1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 y -1)) (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 2) (cbrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) (sqrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 y -1))) (/.f64 y (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y -1))) (/.f64 y (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 -1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 (*.f64 y y))) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -1) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (log1p.f64 y)))))))

simplify56.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
678×fma-def_binary64
470×fma-neg_binary64
457×associate-/r*_binary64
372×sub-neg_binary64
366×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058372
1161316
2466311
31459303
44299303
Stop Event
1×node limit
Counts
77 → 85
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 y (*.f64 1/2 (pow.f64 y 2)))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))
(log.f64 (/.f64 -1 y))
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 -1 y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
y
(+.f64 y (pow.f64 y 2))
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
Outputs
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (*.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(*.f64 y (fma.f64 y 1/2 1))
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(fma.f64 1/3 (pow.f64 y 3) (+.f64 y (*.f64 1/2 (*.f64 y y))))
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/2 (*.f64 y y) y))
(fma.f64 y (*.f64 y 1/2) (fma.f64 1/3 (pow.f64 y 3) y))
(fma.f64 y (*.f64 y (fma.f64 y 1/3 1/2)) y)
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 y (*.f64 1/2 (pow.f64 y 2)))))
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/4 (pow.f64 y 4) (+.f64 y (*.f64 1/2 (*.f64 y y)))))
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/4 (pow.f64 y 4) (fma.f64 1/2 (*.f64 y y) y)))
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 y (*.f64 y 1/2) (fma.f64 1/4 (pow.f64 y 4) y)))
(fma.f64 y (*.f64 y (fma.f64 y 1/3 1/2)) (fma.f64 1/4 (pow.f64 y 4) y))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))
(log.f64 (/.f64 -1 y))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))))
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1/2 y) y) (log.f64 (/.f64 -1 y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 -1) (/.f64 1/3 (pow.f64 y 3))))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (+.f64 (/.f64 (/.f64 1/2 y) y) (log.f64 (/.f64 -1 y)))))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/3 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))))
(log.f64 (/.f64 -1 y))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 -1 y))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1/2 y) y) (log.f64 (/.f64 -1 y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 -1) (/.f64 1/3 (pow.f64 y 3))))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (+.f64 (/.f64 (/.f64 1/2 y) y) (log.f64 (/.f64 -1 y)))))
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/3 (pow.f64 y 3)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))))
y
(+.f64 y (pow.f64 y 2))
(+.f64 y (*.f64 y y))
(fma.f64 y y y)
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (+.f64 y (*.f64 y y)))
(+.f64 (pow.f64 y 3) (fma.f64 y y y))
(fma.f64 y (fma.f64 y y y) y)
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (*.f64 y y) (pow.f64 y 4))))
(+.f64 (pow.f64 y 3) (+.f64 (pow.f64 y 4) (fma.f64 y y y)))
(*.f64 (fma.f64 y y 1) (fma.f64 y y y))
(*.f64 (fma.f64 y y y) (fma.f64 y y 1))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(+.f64 (neg.f64 (/.f64 1 y)) -1)
(+.f64 -1 (/.f64 -1 y))
(-.f64 -1 (/.f64 1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 -1 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))))
(+.f64 -1 (-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (/.f64 -1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 -1 (*.f64 y y)) (+.f64 (+.f64 -1 (/.f64 -1 (pow.f64 y 3))) (/.f64 -1 y)))
(+.f64 -1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(+.f64 (neg.f64 (/.f64 1 y)) -1)
(+.f64 -1 (/.f64 -1 y))
(-.f64 -1 (/.f64 1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))))
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))
(+.f64 -1 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))))
(+.f64 -1 (-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (/.f64 -1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 -1 (*.f64 y y)) (+.f64 (+.f64 -1 (/.f64 -1 (pow.f64 y 3))) (/.f64 -1 y)))
(+.f64 -1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))))

eval51.0ms (0.5%)

Compiler

Compiled 2069 to 1488 computations (28.1% saved)

prune38.0ms (0.4%)

Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New1599168
Fresh325
Picked011
Done077
Total16219181
Error
0.0b
Counts
181 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓16.6b
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
▶46.8b
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
✓24.5b
(-.f64 1 (log1p.f64 (neg.f64 x)))
▶38.0b
(-.f64 1 (*.f64 y (fma.f64 y 1/2 1)))
▶36.6b
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
35.9b
1
✓38.1b
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))
49.8b
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))))
▶35.5b
(+.f64 1 x)
✓37.4b
(-.f64 1 y)
▶34.7b
(-.f64 1 (/.f64 x (-.f64 y 1)))
49.2b
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
✓26.3b
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
36.3b
(+.f64 (neg.f64 (log1p.f64 x)) 1)
61.7b
(/.f64 (neg.f64 x) y)
✓57.4b
(-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))
✓49.0b
(-.f64 1 (log.f64 (/.f64 -1 y)))
✓46.5b
(-.f64 1 (/.f64 x y))
62.5b
(-.f64 1 (log1p.f64 (-.f64 -1 (/.f64 1 y))))
Compiler

Compiled 285 to 218 computations (23.5% saved)

localize11.0ms (0.1%)

Compiler

Compiled 20 to 13 computations (35% saved)

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))
✓14.0b
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
Compiler

Compiled 55 to 15 computations (72.7% saved)

series12.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))
1.0ms
x
@0
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
1.0ms
y
@0
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
1.0ms
x
@inf
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
1.0ms
y
@0
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))

rewrite78.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
494×log-prod_binary64
323×pow-prod-down_binary64
257×fma-def_binary64
238×pow2_binary64
209×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01032
123514
2389714
Stop Event
1×node limit
Counts
2 → 150
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))
Outputs
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(2) ((x fma.f64 (/.f64 (+.f64 1 (/.f64 x y)) (-.f64 1 (pow.f64 (/.f64 x y) 6))) (+.f64 (+.f64 1 (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 2)) (neg.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 (pow.f64 (/.f64 x y) 4))) (+.f64 1 (pow.f64 (/.f64 x y) 2)) (neg.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (neg.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (pow.f64 (neg.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x y)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x y)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 2 (log1p.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (*.f64 2 (log1p.f64 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 (/.f64 x y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 4) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 x y) 6)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 x y) 4)) (pow.f64 (+.f64 1 (/.f64 x y)) -2) -1)))))

simplify73.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
671×times-frac_binary64
650×unswap-sqr_binary64
406×fma-neg_binary64
325×associate-/l*_binary64
212×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012423
126387
247387
3114387
4454387
53347387
65099387
76111387
Stop Event
1×node limit
Counts
198 → 156
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 x y) (/.f64 x y))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 -1 x) y)
✓2.4b
(log.f64 (/.f64 (+.f64 -1 x) y))
Compiler

Compiled 28 to 19 computations (32.1% saved)

series59.0ms (0.6%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
34.0ms
y
@-inf
(log.f64 (/.f64 (+.f64 -1 x) y))
8.0ms
y
@inf
(log.f64 (/.f64 (+.f64 -1 x) y))
8.0ms
y
@0
(log.f64 (/.f64 (+.f64 -1 x) y))
7.0ms
x
@0
(log.f64 (/.f64 (+.f64 -1 x) y))
1.0ms
x
@inf
(log.f64 (/.f64 (+.f64 -1 x) y))

rewrite72.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
819×pow1_binary64
760×add-log-exp_binary64
760×log1p-expm1-u_binary64
760×expm1-log1p-u_binary64
746×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
114816
2196816
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 -1 x) y))
(/.f64 (+.f64 -1 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 -1 x)) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 y (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (neg.f64 x))) (log.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2) (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 (log.f64 (+.f64 -1 x)) (log.f64 (+.f64 -1 x))) (+.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (+.f64 -1 x)) (log.f64 (+.f64 -1 x))) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 y (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 -1 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (+.f64 -1 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 -1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 -1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (*.f64 (cbrt.f64 (+.f64 -1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)) (sqrt.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 x)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) 1) (/.f64 (sqrt.f64 (+.f64 -1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 -1 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 -1 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 -1 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 -1 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))) (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 -1 x) y)))))))

simplify77.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
569×fma-def_binary64
439×distribute-neg-in_binary64
426×associate--l+_binary64
426×sub-neg_binary64
364×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058582
1155521
2451511
31734502
46377502
Stop Event
1×node limit
Counts
108 → 88
Calls
Call 1
Inputs
(log.f64 (/.f64 -1 y))
(+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(/.f64 -1 y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (-.f64 x 1) y)
Outputs
(log.f64 (/.f64 -1 y))
(+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))
(+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 x))
(-.f64 (log.f64 (/.f64 -1 y)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 x)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (log.f64 (/.f64 -1 y))) x)
(-.f64 (fma.f64 x (*.f64 x -1/2) (log.f64 (/.f64 -1 y))) x)
(fma.f64 x (fma.f64 x -1/2 -1) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))))
(fma.f64 -1/2 (*.f64 x x) (+.f64 (log.f64 (/.f64 -1 y)) (fma.f64 -1 x (*.f64 -1/3 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)) (fma.f64 -1/2 (*.f64 x x) (log.f64 (/.f64 -1 y))))
(fma.f64 x (*.f64 x -1/2) (-.f64 (fma.f64 -1/3 (pow.f64 x 3) (log.f64 (/.f64 -1 y))) x))
(fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (-.f64 (log.f64 (/.f64 -1 y)) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y)))
(-.f64 (log.f64 x) (log.f64 y))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (/.f64 1 x))
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 -1 x))
(-.f64 (+.f64 (log.f64 x) (/.f64 -1 x)) (log.f64 y))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 (/.f64 1/2 x) x)) (/.f64 -1 x))
(+.f64 (-.f64 (+.f64 (log.f64 x) (/.f64 -1 x)) (log.f64 y)) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (-.f64 (/.f64 -1 x) (/.f64 (/.f64 1/2 x) x)) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (log.f64 x) (log.f64 y)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x))) (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (-.f64 (+.f64 (log.f64 x) (/.f64 -1 x)) (log.f64 y)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/3 (pow.f64 x 3))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y)))
(-.f64 (log.f64 x) (log.f64 y))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (/.f64 1 x))
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 -1 x))
(-.f64 (+.f64 (log.f64 x) (/.f64 -1 x)) (log.f64 y))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 (/.f64 1/2 x) x)) (/.f64 -1 x))
(+.f64 (-.f64 (+.f64 (log.f64 x) (/.f64 -1 x)) (log.f64 y)) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (-.f64 (/.f64 -1 x) (/.f64 (/.f64 1/2 x) x)) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (log.f64 x) (log.f64 y)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x))) (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (-.f64 (+.f64 (log.f64 x) (/.f64 -1 x)) (log.f64 y)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/3 (pow.f64 x 3))))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(+.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 y)))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (+.f64 (neg.f64 x) 1)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (+.f64 (neg.f64 x) 1)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (+.f64 (neg.f64 x) 1)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (+.f64 (neg.f64 x) 1)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log1p.f64 (neg.f64 x)))
(/.f64 -1 y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 y (fma.f64 y 1/2 1))
Compiler

Compiled 23 to 17 computations (26.1% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(*.f64 y (fma.f64 y 1/2 1))
1.0ms
y
@-inf
(*.f64 y (fma.f64 y 1/2 1))
1.0ms
y
@0
(*.f64 y (fma.f64 y 1/2 1))

rewrite48.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
491×pow1_binary64
475×add-sqr-sqrt_binary64
467×*-un-lft-identity_binary64
453×add-log-exp_binary64
453×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11148
212148
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 y (fma.f64 y 1/2 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 1/2) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 y 1/2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (fma.f64 y 1/2 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (fma.f64 y 1/2 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (fma.f64 y 1/2 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (fma.f64 y 1/2 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (fma.f64 y 1/2 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (fma.f64 y 1/2 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 y 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (fma.f64 y 1/2 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (fma.f64 y 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (fma.f64 y 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (fma.f64 y 1/2 1))))))))

simplify144.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
859×fma-def_binary64
778×sqr-pow_binary64
502×cube-prod_binary64
488×associate-*l*_binary64
484×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07105
11487
22687
35487
413787
542287
6160187
7300987
8337187
9360287
10384587
11419387
12461987
13515387
14574087
15646887
16730787
17770587
18799587
Stop Event
1×node limit
Counts
25 → 18
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(*.f64 1/2 (pow.f64 y 2))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(*.f64 1/2 (pow.f64 y 2))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
Outputs
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (*.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(*.f64 y (fma.f64 y 1/2 1))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (*.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(*.f64 y (fma.f64 y 1/2 1))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (*.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(*.f64 y (fma.f64 y 1/2 1))
(*.f64 1/2 (pow.f64 y 2))
(*.f64 1/2 (*.f64 y y))
(*.f64 y (*.f64 y 1/2))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (*.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(*.f64 y (fma.f64 y 1/2 1))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (*.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(*.f64 y (fma.f64 y 1/2 1))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (*.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(*.f64 y (fma.f64 y 1/2 1))
(*.f64 1/2 (pow.f64 y 2))
(*.f64 1/2 (*.f64 y y))
(*.f64 y (*.f64 y 1/2))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (*.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(*.f64 y (fma.f64 y 1/2 1))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (*.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(*.f64 y (fma.f64 y 1/2 1))
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (*.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(*.f64 y (fma.f64 y 1/2 1))

eval79.0ms (0.8%)

Compiler

Compiled 3977 to 2464 computations (38% saved)

prune50.0ms (0.5%)

Pruning

23 alts after pruning (14 fresh and 9 done)

PrunedKeptTotal
New2548262
Fresh066
Picked101
Done3912
Total25823281
Error
0.0b
Counts
281 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
✓16.6b
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
✓24.5b
(-.f64 1 (log1p.f64 (neg.f64 x)))
36.3b
(+.f64 (neg.f64 (log1p.f64 x)) 1)
46.8b
(/.f64 (-.f64 1 (/.f64 (/.f64 x y) (/.f64 y x))) (-.f64 1 (/.f64 (neg.f64 x) y)))
✓49.0b
(-.f64 1 (log.f64 (/.f64 -1 y)))
46.8b
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
35.9b
1
✓38.1b
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))
49.8b
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))))
✓35.5b
(+.f64 1 x)
36.5b
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
✓37.4b
(-.f64 1 y)
49.2b
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
✓26.3b
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
38.0b
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y))
46.8b
(+.f64 (/.f64 x y) 1)
38.2b
(-.f64 1 (*.f64 y (*.f64 y 1/2)))
46.9b
(/.f64 (-.f64 1 (/.f64 (*.f64 x (/.f64 x y)) y)) (-.f64 1 (/.f64 (neg.f64 x) y)))
✓36.6b
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
61.7b
(/.f64 (neg.f64 x) y)
✓46.5b
(-.f64 1 (/.f64 x y))
62.5b
(-.f64 1 (log1p.f64 (-.f64 -1 (/.f64 1 y))))
48.9b
(-.f64 1 (log.f64 (/.f64 x y)))
Compiler

Compiled 228 to 175 computations (23.2% saved)

regimes614.0ms (5.9%)

Counts
41 → 3
Calls
Call 1
Inputs
1
(+.f64 1 x)
(-.f64 1 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 x y) 1)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 x y))
(-.f64 1 (*.f64 y (*.f64 y 1/2)))
(-.f64 1 (/.f64 x (-.f64 y 1)))
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y))
(/.f64 (-.f64 1 (/.f64 (/.f64 x y) (/.f64 y x))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 (*.f64 x (/.f64 x y)) y)) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(-.f64 1 (log1p.f64 -1))
(+.f64 (neg.f64 (log1p.f64 x)) 1)
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (*.f64 y (fma.f64 y 1/2 1)))
(-.f64 1 (log1p.f64 (-.f64 -1 (/.f64 1 y))))
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))))
(-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))))
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (log1p.f64 (neg.f64 x)) (/.f64 -1 y))))
(-.f64 1 (+.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) (/.f64 1/2 (*.f64 y y)))))
(-.f64 1 (-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 x y)) -2))) (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1))))))
Outputs
(-.f64 1 (+.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
Calls

10 calls:

128.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
125.0ms
y
116.0ms
x
88.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
68.0ms
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
Results
ErrorSegmentsBranch
11.1b6x
0.1b3y
0.1b2(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.1b2(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.1b2(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
0.1b2(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
0.1b2(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.1b2(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.1b2(/.f64 (-.f64 x y) (-.f64 1 y))
0.1b2(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 496 to 324 computations (34.7% saved)

bsearch23.0ms (0.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
3.0ms
40105981190.13001
2.222694201442087e+28
20.0ms
-8479955.071145186
-5.26075629195046
Compiler

Compiled 80 to 63 computations (21.3% saved)

regimes468.0ms (4.5%)

Counts
38 → 3
Calls
Call 1
Inputs
1
(+.f64 1 x)
(-.f64 1 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 x y) 1)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 x y))
(-.f64 1 (*.f64 y (*.f64 y 1/2)))
(-.f64 1 (/.f64 x (-.f64 y 1)))
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y))
(/.f64 (-.f64 1 (/.f64 (/.f64 x y) (/.f64 y x))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 (*.f64 x (/.f64 x y)) y)) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(-.f64 1 (log1p.f64 -1))
(+.f64 (neg.f64 (log1p.f64 x)) 1)
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (*.f64 y (fma.f64 y 1/2 1)))
(-.f64 1 (log1p.f64 (-.f64 -1 (/.f64 1 y))))
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))))
(-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))))
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (log1p.f64 (neg.f64 x)) (/.f64 -1 y))))
Outputs
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (log1p.f64 (neg.f64 x)) (/.f64 -1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
Calls

10 calls:

94.0ms
x
74.0ms
y
67.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
59.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
41.0ms
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
Results
ErrorSegmentsBranch
11.1b6x
0.1b3y
0.1b2(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.1b2(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.1b2(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
0.1b2(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
0.1b2(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.1b2(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.1b2(/.f64 (-.f64 x y) (-.f64 1 y))
0.1b2(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 431 to 283 computations (34.3% saved)

bsearch16.0ms (0.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
1.0ms
40105981190.13001
2.222694201442087e+28
15.0ms
-8479955.071145186
-5.26075629195046
Compiler

Compiled 74 to 59 computations (20.3% saved)

regimes301.0ms (2.9%)

Counts
37 → 3
Calls
Call 1
Inputs
1
(+.f64 1 x)
(-.f64 1 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 x y) 1)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 x y))
(-.f64 1 (*.f64 y (*.f64 y 1/2)))
(-.f64 1 (/.f64 x (-.f64 y 1)))
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y))
(/.f64 (-.f64 1 (/.f64 (/.f64 x y) (/.f64 y x))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 (*.f64 x (/.f64 x y)) y)) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(-.f64 1 (log1p.f64 -1))
(+.f64 (neg.f64 (log1p.f64 x)) 1)
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (*.f64 y (fma.f64 y 1/2 1)))
(-.f64 1 (log1p.f64 (-.f64 -1 (/.f64 1 y))))
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))))
(-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))))
Outputs
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
Calls

10 calls:

95.0ms
x
55.0ms
y
30.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
30.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
23.0ms
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
Results
ErrorSegmentsBranch
11.1b6x
0.1b3y
0.1b2(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.1b2(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.1b2(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
0.1b2(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
0.1b2(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.1b2(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.1b2(/.f64 (-.f64 x y) (-.f64 1 y))
0.1b2(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 417 to 274 computations (34.3% saved)

bsearch16.0ms (0.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
1.0ms
40105981190.13001
2.222694201442087e+28
14.0ms
-8479955.071145186
-5.26075629195046
Compiler

Compiled 74 to 59 computations (20.3% saved)

regimes299.0ms (2.9%)

Counts
36 → 3
Calls
Call 1
Inputs
1
(+.f64 1 x)
(-.f64 1 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 x y) 1)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 x y))
(-.f64 1 (*.f64 y (*.f64 y 1/2)))
(-.f64 1 (/.f64 x (-.f64 y 1)))
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y))
(/.f64 (-.f64 1 (/.f64 (/.f64 x y) (/.f64 y x))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 (*.f64 x (/.f64 x y)) y)) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(-.f64 1 (log1p.f64 -1))
(+.f64 (neg.f64 (log1p.f64 x)) 1)
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (*.f64 y (fma.f64 y 1/2 1)))
(-.f64 1 (log1p.f64 (-.f64 -1 (/.f64 1 y))))
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))))
(-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))
Outputs
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
Calls

10 calls:

94.0ms
x
49.0ms
y
31.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
31.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))
23.0ms
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
Results
ErrorSegmentsBranch
11.2b6x
0.1b3y
0.1b2(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.1b2(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.1b2(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
0.1b2(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
0.1b2(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.1b2(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.1b2(/.f64 (-.f64 x y) (-.f64 1 y))
0.1b2(/.f64 (-.f64 x y) (-.f64 1 y))
Compiler

Compiled 403 to 265 computations (34.2% saved)

bsearch16.0ms (0.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
1.0ms
40105981190.13001
2.222694201442087e+28
15.0ms
-4531612159813101600.0
-7026303691597770.0
Compiler

Compiled 68 to 54 computations (20.6% saved)

regimes132.0ms (1.3%)

Counts
29 → 3
Calls
Call 1
Inputs
1
(+.f64 1 x)
(-.f64 1 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 x y) 1)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 x y))
(-.f64 1 (*.f64 y (*.f64 y 1/2)))
(-.f64 1 (/.f64 x (-.f64 y 1)))
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y))
(/.f64 (-.f64 1 (/.f64 (/.f64 x y) (/.f64 y x))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 (*.f64 x (/.f64 x y)) y)) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(-.f64 1 (log1p.f64 -1))
(+.f64 (neg.f64 (log1p.f64 x)) 1)
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (*.f64 y (fma.f64 y 1/2 1)))
(-.f64 1 (log1p.f64 (-.f64 -1 (/.f64 1 y))))
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))
Outputs
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))
Calls

2 calls:

84.0ms
x
38.0ms
y
Results
ErrorSegmentsBranch
11.4b6x
0.4b3y
Compiler

Compiled 230 to 141 computations (38.7% saved)

bsearch63.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
40105981190.13001
2.222694201442087e+28
28.0ms
-8479955.071145186
-5.26075629195046
Compiler

Compiled 271 to 223 computations (17.7% saved)

regimes226.0ms (2.2%)

Counts
25 → 3
Calls
Call 1
Inputs
1
(+.f64 1 x)
(-.f64 1 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 x y) 1)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 x y))
(-.f64 1 (*.f64 y (*.f64 y 1/2)))
(-.f64 1 (/.f64 x (-.f64 y 1)))
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y))
(/.f64 (-.f64 1 (/.f64 (/.f64 x y) (/.f64 y x))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 (*.f64 x (/.f64 x y)) y)) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(-.f64 1 (log1p.f64 -1))
(+.f64 (neg.f64 (log1p.f64 x)) 1)
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (*.f64 y (fma.f64 y 1/2 1)))
(-.f64 1 (log1p.f64 (-.f64 -1 (/.f64 1 y))))
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
Outputs
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
Calls

2 calls:

145.0ms
x
69.0ms
y
Results
ErrorSegmentsBranch
11.4b6x
0.4b3y
Compiler

Compiled 193 to 113 computations (41.5% saved)

bsearch60.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
40105981190.13001
2.222694201442087e+28
32.0ms
-8479955.071145186
-5.26075629195046
Compiler

Compiled 261 to 213 computations (18.4% saved)

regimes270.0ms (2.6%)

Counts
24 → 3
Calls
Call 1
Inputs
1
(+.f64 1 x)
(-.f64 1 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 x y) 1)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 x y))
(-.f64 1 (*.f64 y (*.f64 y 1/2)))
(-.f64 1 (/.f64 x (-.f64 y 1)))
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y))
(/.f64 (-.f64 1 (/.f64 (/.f64 x y) (/.f64 y x))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 (*.f64 x (/.f64 x y)) y)) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(-.f64 1 (log1p.f64 -1))
(+.f64 (neg.f64 (log1p.f64 x)) 1)
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (*.f64 y (fma.f64 y 1/2 1)))
(-.f64 1 (log1p.f64 (-.f64 -1 (/.f64 1 y))))
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
Outputs
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))
Calls

2 calls:

180.0ms
x
73.0ms
y
Results
ErrorSegmentsBranch
14.6b8x
0.5b3y
Compiler

Compiled 185 to 107 computations (42.2% saved)

bsearch78.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
48.0ms
1.8173897971872756e-7
40105981190.13001
29.0ms
-5.26075629195046
-5.806594726232461e-12
Compiler

Compiled 250 to 202 computations (19.2% saved)

regimes177.0ms (1.7%)

Counts
23 → 3
Calls
Call 1
Inputs
1
(+.f64 1 x)
(-.f64 1 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 x y) 1)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 x y))
(-.f64 1 (*.f64 y (*.f64 y 1/2)))
(-.f64 1 (/.f64 x (-.f64 y 1)))
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y))
(/.f64 (-.f64 1 (/.f64 (/.f64 x y) (/.f64 y x))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 (*.f64 x (/.f64 x y)) y)) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(-.f64 1 (log1p.f64 -1))
(+.f64 (neg.f64 (log1p.f64 x)) 1)
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (*.f64 y (fma.f64 y 1/2 1)))
(-.f64 1 (log1p.f64 (-.f64 -1 (/.f64 1 y))))
Outputs
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (log.f64 (/.f64 x y)))
Calls

2 calls:

115.0ms
x
52.0ms
y
Results
ErrorSegmentsBranch
15.7b6x
6.8b3y
Compiler

Compiled 177 to 101 computations (42.9% saved)

bsearch363.0ms (3.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
196.0ms
1.8173897971872756e-7
40105981190.13001
166.0ms
-8479955.071145186
-5.26075629195046
Compiler

Compiled 380 to 309 computations (18.7% saved)

regimes89.0ms (0.9%)

Counts
20 → 3
Calls
Call 1
Inputs
1
(+.f64 1 x)
(-.f64 1 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 x y) 1)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 x y))
(-.f64 1 (*.f64 y (*.f64 y 1/2)))
(-.f64 1 (/.f64 x (-.f64 y 1)))
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y))
(/.f64 (-.f64 1 (/.f64 (/.f64 x y) (/.f64 y x))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 (*.f64 x (/.f64 x y)) y)) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(-.f64 1 (log1p.f64 -1))
(+.f64 (neg.f64 (log1p.f64 x)) 1)
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
Outputs
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 x y)))
Calls

2 calls:

54.0ms
x
30.0ms
y
Results
ErrorSegmentsBranch
15.7b6x
7.0b3y
Compiler

Compiled 154 to 85 computations (44.8% saved)

bsearch152.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
14.0ms
1.8173897971872756e-7
40105981190.13001
137.0ms
-8479955.071145186
-5.26075629195046
Compiler

Compiled 342 to 290 computations (15.2% saved)

regimes72.0ms (0.7%)

Counts
19 → 3
Calls
Call 1
Inputs
1
(+.f64 1 x)
(-.f64 1 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 x y) 1)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 x y))
(-.f64 1 (*.f64 y (*.f64 y 1/2)))
(-.f64 1 (/.f64 x (-.f64 y 1)))
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y))
(/.f64 (-.f64 1 (/.f64 (/.f64 x y) (/.f64 y x))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 (*.f64 x (/.f64 x y)) y)) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(-.f64 1 (log1p.f64 -1))
(+.f64 (neg.f64 (log1p.f64 x)) 1)
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 x y)))
Outputs
(-.f64 1 (log.f64 (/.f64 x y)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 x y)))
Calls

2 calls:

36.0ms
x
31.0ms
y
Results
ErrorSegmentsBranch
16.8b4x
13.6b3y
Compiler

Compiled 148 to 80 computations (45.9% saved)

bsearch30.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
14.0ms
1.8173897971872756e-7
40105981190.13001
16.0ms
-5262655899.679657
-330219563.7052203
Compiler

Compiled 206 to 169 computations (18% saved)

regimes24.0ms (0.2%)

Counts
18 → 1
Calls
Call 1
Inputs
1
(+.f64 1 x)
(-.f64 1 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 x y) 1)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 x y))
(-.f64 1 (*.f64 y (*.f64 y 1/2)))
(-.f64 1 (/.f64 x (-.f64 y 1)))
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y))
(/.f64 (-.f64 1 (/.f64 (/.f64 x y) (/.f64 y x))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 (*.f64 x (/.f64 x y)) y)) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(-.f64 1 (log1p.f64 -1))
(+.f64 (neg.f64 (log1p.f64 x)) 1)
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
Outputs
(-.f64 1 (log1p.f64 (neg.f64 x)))
Calls

2 calls:

10.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
24.5b1x
24.5b1y
Compiler

Compiled 142 to 77 computations (45.8% saved)

regimes22.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
1
(+.f64 1 x)
(-.f64 1 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 x y) 1)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 x y))
(-.f64 1 (*.f64 y (*.f64 y 1/2)))
(-.f64 1 (/.f64 x (-.f64 y 1)))
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y))
(/.f64 (-.f64 1 (/.f64 (/.f64 x y) (/.f64 y x))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (/.f64 (*.f64 x (/.f64 x y)) y)) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(-.f64 1 (log1p.f64 -1))
(+.f64 (neg.f64 (log1p.f64 x)) 1)
Outputs
(-.f64 1 (/.f64 x (-.f64 y 1)))
Calls

2 calls:

10.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
34.7b1x
34.7b1y
Compiler

Compiled 132 to 72 computations (45.5% saved)

regimes14.0ms (0.1%)

Accuracy

Total -27.5b remaining (-77.4%)

Threshold costs -27.5b (-77.4%)

Counts
8 → 1
Calls
Call 1
Inputs
1
(+.f64 1 x)
(-.f64 1 y)
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 x y) 1)
(-.f64 1 (-.f64 y x))
(-.f64 1 (/.f64 x y))
(-.f64 1 (*.f64 y (*.f64 y 1/2)))
Outputs
(+.f64 1 x)
Calls

2 calls:

7.0ms
y
6.0ms
x
Results
ErrorSegmentsBranch
35.5b1x
35.5b1y
Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify30.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
44×+-commutative_binary64
36×sub-neg_binary64
22×neg-sub0_binary64
22×neg-mul-1_binary64
21×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083536
1129526
2193526
3259526
4315526
5334526
6335526
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y -100000) (-.f64 1 (+.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))) (if (<=.f64 y 409600000000000000000000/4096) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))))
(if (<=.f64 y -100000) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (log1p.f64 (neg.f64 x)) (/.f64 -1 y)))) (if (<=.f64 y 409600000000000000000000/4096) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))))
(if (<=.f64 y -100000) (-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))) (if (<=.f64 y 409600000000000000000000/4096) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))))
(if (<=.f64 y -1000000000000000000) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 409600000000000000000000/4096) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))))
(if (<=.f64 y -100000) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 21999999999999998643058769920) (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))))
(if (<=.f64 y -100000) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 21999999999999998643058769920) (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))))
(if (<=.f64 y -1) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 41943040000000000/1048576) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))))
(if (<=.f64 y -3039929748475085/562949953421312) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 6989102394647075/37778931862957161709568) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log.f64 (/.f64 x y)))))
(if (<=.f64 y -3039929748475085/562949953421312) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 41943040000000000/1048576) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log.f64 (/.f64 x y)))))
(if (<=.f64 y -1000000000) (-.f64 1 (log.f64 (/.f64 x y))) (if (<=.f64 y 41943040000000000/1048576) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log.f64 (/.f64 x y)))))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (/.f64 x (-.f64 y 1)))
(+.f64 1 x)
1
Outputs
(if (<=.f64 y -100000) (-.f64 1 (+.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))) (if (<=.f64 y 409600000000000000000000/4096) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))))
(if (<=.f64 y -100000) (-.f64 1 (+.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))) (if (<=.f64 y 100000000000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 x -1)))))))
(if (<=.f64 y -100000) (-.f64 1 (+.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))) (if (<=.f64 y 100000000000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 x -1))))))
(if (<=.f64 y -100000) (+.f64 1 (-.f64 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) (if (<=.f64 y 100000000000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 x -1))))))
(if (<=.f64 y -100000) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (log1p.f64 (neg.f64 x)) (/.f64 -1 y)))) (if (<=.f64 y 409600000000000000000000/4096) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))))
(if (<=.f64 y -100000) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (log1p.f64 (neg.f64 x)) (/.f64 -1 y)))) (if (<=.f64 y 100000000000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 x -1)))))))
(if (<=.f64 y -100000) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)))) (if (<=.f64 y 100000000000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 x -1))))))
(if (<=.f64 y -100000) (+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))) (if (<=.f64 y 100000000000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 x -1))))))
(if (<=.f64 y -100000) (-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))) (if (<=.f64 y 409600000000000000000000/4096) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))))
(if (<=.f64 y -100000) (-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 1 y)))) (if (<=.f64 y 100000000000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 x -1)))))))
(if (<=.f64 y -100000) (-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 1 y)))) (if (<=.f64 y 100000000000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 x -1))))))
(if (<=.f64 y -100000) (+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (log1p.f64 (neg.f64 x)))) (if (<=.f64 y 100000000000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 x -1))))))
(if (<=.f64 y -1000000000000000000) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 409600000000000000000000/4096) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))))
(if (<=.f64 y -1000000000000000000) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) (if (<=.f64 y 100000000000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 x -1)))))))
(if (<=.f64 y -1000000000000000000) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) (if (<=.f64 y 100000000000000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 x -1))))))
(if (<=.f64 y -100000) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 21999999999999998643058769920) (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))))
(if (<=.f64 y -100000) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) (if (<=.f64 y 21999999999999998643058769920) (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))) (-.f64 1 (neg.f64 (log.f64 (/.f64 y (+.f64 x -1)))))))
(if (<=.f64 y -100000) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) (if (<=.f64 y 21999999999999998643058769920) (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 x -1))))))
(if (<=.f64 y -100000) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 21999999999999998643058769920) (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))))
(if (<=.f64 y -100000) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) (if (<=.f64 y 21999999999999998643058769920) (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y)))))
(if (<=.f64 y -1) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 41943040000000000/1048576) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))))
(if (<=.f64 y -1) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) (if (<=.f64 y 40000000000) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y)))))
(if (<=.f64 y -3039929748475085/562949953421312) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 6989102394647075/37778931862957161709568) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log.f64 (/.f64 x y)))))
(if (<=.f64 y -3039929748475085/562949953421312) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 41943040000000000/1048576) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log.f64 (/.f64 x y)))))
(if (<=.f64 y -3039929748475085/562949953421312) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 40000000000) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log.f64 (/.f64 x y)))))
(if (<=.f64 y -1000000000) (-.f64 1 (log.f64 (/.f64 x y))) (if (<=.f64 y 41943040000000000/1048576) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log.f64 (/.f64 x y)))))
(if (<=.f64 y -1000000000) (-.f64 1 (log.f64 (/.f64 x y))) (if (<=.f64 y 40000000000) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log.f64 (/.f64 x y)))))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (/.f64 x (-.f64 y 1)))
(-.f64 1 (/.f64 x (+.f64 y -1)))
(+.f64 1 x)
1
Compiler

Compiled 376 to 285 computations (24.2% saved)

soundness1.3s (12.1%)

Algorithm
5×egg-herbie
Rules
1264×fma-neg_binary64
1264×fma-neg_binary64
1264×fma-neg_binary64
1110×fma-def_binary64
1110×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01018
12217
24017
38615
420315
543915
6101815
7260915
8436715
9511415
10568915
11663515
01981824
16191535
223301397
01018
12217
24017
38615
420315
543915
6101815
7260915
8436715
9511415
10568915
11663515
01018
12217
24017
38615
420315
543915
6101815
7260915
8436715
9511415
10568915
11663515
01801645
15671364
221771233
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 5053 to 4033 computations (20.2% saved)

end169.0ms (1.6%)

Compiler

Compiled 350 to 237 computations (32.3% saved)

Profiling

Loading profile data...