Details

Time bar (total: 2.4s)

analyze226.0ms (9.6%)

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
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
25%71.8%3.3%9
34.3%60.1%5.6%10
40.6%53.8%5.6%11
46.8%44.1%9.1%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.5s (61.7%)

Results
1.1s8253×body64valid
325.0ms1264×body64invalid
1.0ms3×body128valid

preprocess58.0ms (2.5%)

Algorithm
2×egg-herbie
Rules
768×fma-neg_binary64
441×fma-def_binary64
171×cancel-sign-sub-inv_binary64
131×distribute-rgt-in_binary64
113×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02044
14344
28744
315144
433736
568032
6113332
7185532
8246932
9276732
10284232
11284332
12284332
033
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 z y) (*.f64 x (-.f64 1 y)))
(+.f64 (*.f64 x z) (*.f64 y (-.f64 1 z)))
Outputs
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
(fma.f64 x y (*.f64 z (-.f64 1 y)))
(-.f64 (fma.f64 x y z) (*.f64 y z))
(fma.f64 y (fma.f64 z -1 x) z)
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 x y))
(fma.f64 x y (*.f64 z (-.f64 1 x)))
(fma.f64 x y (fma.f64 z (neg.f64 x) z))
(fma.f64 x (fma.f64 z -1 y) z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 z y) (*.f64 x (-.f64 1 y)))
(fma.f64 z y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) (*.f64 y z))
(-.f64 (fma.f64 y z x) (*.f64 x y))
(fma.f64 y (fma.f64 x -1 z) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 1 z)))
(fma.f64 x z (*.f64 y (-.f64 1 z)))
(-.f64 (fma.f64 x z y) (*.f64 y z))
(fma.f64 z (fma.f64 y -1 x) y)
(fma.f64 z (-.f64 x y) y)
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify20.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
354×fma-def_binary64
246×fma-neg_binary64
53×cancel-sign-sub-inv_binary64
45×distribute-rgt-in_binary64
43×associate--r+_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0911
11711
23011
35711
41269
52188
63478
75588
89698
911528
1012128
1112228
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
Outputs
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
(fma.f64 x y (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 x y))
(-.f64 (fma.f64 x y z) (*.f64 y z))
(fma.f64 y (fma.f64 z -1 x) z)
(fma.f64 y (-.f64 x z) z)

prune12.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.0b
(fma.f64 y (-.f64 x z) z)
0.0b
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
Compiler

Compiled 60 to 36 computations (40% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 y (-.f64 x z) z)

series5.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(fma.f64 y (-.f64 x z) z)
1.0ms
z
@0
(fma.f64 y (-.f64 x z) z)
1.0ms
y
@0
(fma.f64 y (-.f64 x z) z)
1.0ms
y
@inf
(fma.f64 y (-.f64 x z) z)
0.0ms
z
@inf
(fma.f64 y (-.f64 x z) z)

rewrite48.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
740×pow1_binary64
686×add-log-exp_binary64
686×log1p-expm1-u_binary64
686×expm1-log1p-u_binary64
670×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11308
217938
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 y (-.f64 x z) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 x z)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (-.f64 x z) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 x z) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 x z) z)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 x z) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 x z) z)) 2) (cbrt.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 x z) z)) (sqrt.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 y (-.f64 x z))) (-.f64 (*.f64 z z) (*.f64 (*.f64 y (-.f64 x z)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 y (-.f64 x z))) (*.f64 z z)) (-.f64 (*.f64 y (-.f64 x z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 x z) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 x z) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 x z) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 x z) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 x z) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 x z) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 x z) z)))))))

simplify33.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
455×fma-def_binary64
284×fma-neg_binary64
66×distribute-rgt-in_binary64
53×cancel-sign-sub-inv_binary64
44×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024267
163264
2123264
3205264
4375264
5766264
61106264
71393264
81425264
91427264
Stop Event
1×saturated
Counts
57 → 33
Calls
Call 1
Inputs
z
(+.f64 (*.f64 y (-.f64 x z)) z)
(+.f64 (*.f64 y (-.f64 x z)) z)
(+.f64 (*.f64 y (-.f64 x z)) z)
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y (-.f64 x z)) z)
(+.f64 (*.f64 y (-.f64 x z)) z)
(+.f64 (*.f64 y (-.f64 x z)) z)
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y (-.f64 x z)) z)
(+.f64 (*.f64 y (-.f64 x z)) z)
(+.f64 (*.f64 y (-.f64 x z)) z)
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z))
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z))
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z))
(*.f64 (+.f64 1 (*.f64 -1 y)) z)
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z))
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z))
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z))
(*.f64 -1 (*.f64 z (-.f64 y 1)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1))))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1))))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1))))
Outputs
z
(+.f64 (*.f64 y (-.f64 x z)) z)
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y (-.f64 x z)) z)
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y (-.f64 x z)) z)
(fma.f64 y (-.f64 x z) z)
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y (-.f64 x z)) z)
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y (-.f64 x z)) z)
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y (-.f64 x z)) z)
(fma.f64 y (-.f64 x z) z)
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y (-.f64 x z)) z)
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y (-.f64 x z)) z)
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y (-.f64 x z)) z)
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(fma.f64 -1 (*.f64 z y) z)
(-.f64 z (*.f64 z y))
(fma.f64 y (neg.f64 z) z)
(*.f64 z (-.f64 1 y))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z))
(fma.f64 y (-.f64 x z) z)
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z))
(fma.f64 y (-.f64 x z) z)
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z))
(fma.f64 y (-.f64 x z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z))
(fma.f64 y (-.f64 x z) z)
(*.f64 (+.f64 1 (*.f64 -1 y)) z)
(fma.f64 -1 (*.f64 z y) z)
(-.f64 z (*.f64 z y))
(fma.f64 y (neg.f64 z) z)
(*.f64 z (-.f64 1 y))
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z))
(fma.f64 y (-.f64 x z) z)
(*.f64 -1 (*.f64 z (-.f64 y 1)))
(fma.f64 -1 (*.f64 z y) z)
(-.f64 z (*.f64 z y))
(fma.f64 y (neg.f64 z) z)
(*.f64 z (-.f64 1 y))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1))))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1))))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1))))
(fma.f64 y (-.f64 x z) z)

prune30.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New32133
Fresh011
Picked011
Done000
Total32335
Error
0b
Counts
35 → 3
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 y (-.f64 x z) z)
▶0.0b
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
32.5b
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 x z) z)) 2)
Compiler

Compiled 387 to 141 computations (63.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 z (-.f64 1 y))
✓0.0b
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))

series7.0ms (0.3%)

Counts
2 → 48
Calls

15 calls:

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

rewrite63.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
476×log-prod_binary64
409×prod-exp_binary64
382×fma-def_binary64
353×exp-prod_binary64
342×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119218
2261718
Stop Event
1×node limit
Counts
2 → 122
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
(*.f64 z (-.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))) (/.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (-.f64 1 y) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2) (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (+.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y (*.f64 z (-.f64 1 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3))) (neg.f64 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 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log1p.f64 (expm1.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (-.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) z) (fma.f64 y (+.f64 y 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (pow.f64 y 3))) (fma.f64 y (+.f64 y 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (-.f64 1 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (-.f64 1 y))))) (sqrt.f64 (log.f64 (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (-.f64 1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (*.f64 (log.f64 z) 1)))))))

simplify33.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
315×fma-def_binary64
245×fma-neg_binary64
46×cancel-sign-sub-inv_binary64
45×unsub-neg_binary64
39×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022423
163340
2133340
3253340
4512340
5860340
61116340
71183340
81185340
Stop Event
1×saturated
Counts
170 → 136
Calls
Call 1
Inputs
(*.f64 z (-.f64 1 y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
z
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(*.f64 y (+.f64 (*.f64 -1 z) x))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z)))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(*.f64 z (-.f64 1 y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(*.f64 z (-.f64 1 y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
z
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(+.f64 (*.f64 -1 (*.f64 y z)) z)
Outputs
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
z
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(*.f64 y (+.f64 (*.f64 -1 z) x))
(*.f64 y (fma.f64 -1 z x))
(*.f64 y (-.f64 x z))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z)))
(*.f64 y (fma.f64 -1 z x))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
z
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))

prune220.0ms (9.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1351136
Fresh101
Picked101
Done011
Total1372139
Error
0b
Counts
139 → 2
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 y (-.f64 x z) z)
▶0.0b
(fma.f64 (-.f64 1 y) z (*.f64 x y))
Compiler

Compiled 1994 to 1063 computations (46.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (-.f64 1 y) z (*.f64 x y))

series3.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(fma.f64 (-.f64 1 y) z (*.f64 x y))
0.0ms
z
@-inf
(fma.f64 (-.f64 1 y) z (*.f64 x y))
0.0ms
z
@0
(fma.f64 (-.f64 1 y) z (*.f64 x y))
0.0ms
z
@inf
(fma.f64 (-.f64 1 y) z (*.f64 x y))
0.0ms
x
@0
(fma.f64 (-.f64 1 y) z (*.f64 x y))

rewrite41.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
820×pow1_binary64
756×add-log-exp_binary64
756×log1p-expm1-u_binary64
756×expm1-log1p-u_binary64
740×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
116211
2199011
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (-.f64 1 y) z (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (-.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 y) z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1 y) z) 1) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 1 y) z (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1 y) z (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))) 2) (cbrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))) (sqrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 y) z) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (*.f64 (*.f64 (-.f64 1 y) z) (*.f64 (-.f64 1 y) z)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 (-.f64 1 y) z) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 1 y) z) (*.f64 (-.f64 1 y) z)) (pow.f64 (*.f64 y x) 2)) (-.f64 (*.f64 (-.f64 1 y) z) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))))))))

simplify28.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
315×fma-def_binary64
264×fma-neg_binary64
50×cancel-sign-sub-inv_binary64
48×unsub-neg_binary64
40×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019347
155264
2146264
3257264
4487264
5850264
61146264
71241264
81244264
Stop Event
1×saturated
Counts
57 → 32
Calls
Call 1
Inputs
z
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(*.f64 y (+.f64 (*.f64 -1 z) x))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z)))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(*.f64 z (-.f64 1 y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(*.f64 z (-.f64 1 y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(*.f64 z (-.f64 1 y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
Outputs
z
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(*.f64 y (+.f64 (*.f64 -1 z) x))
(*.f64 y (fma.f64 -1 z x))
(*.f64 y (-.f64 x z))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z)))
(*.f64 y (fma.f64 -1 z x))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 y (fma.f64 -1 z x)))
(fma.f64 y (-.f64 x z) z)

prune28.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New32032
Fresh000
Picked011
Done011
Total32234
Error
0b
Counts
34 → 2
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 y (-.f64 x z) z)
✓0.0b
(fma.f64 (-.f64 1 y) z (*.f64 x y))
Compiler

Compiled 389 to 207 computations (46.8% saved)

regimes17.0ms (0.7%)

Accuracy

Total -32.5b remaining (-416050%)

Threshold costs -32.5b (-416050%)

Counts
4 → 1
Calls
Call 1
Inputs
(fma.f64 (-.f64 1 y) z (*.f64 x y))
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 x z) z)) 2)
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
Outputs
(fma.f64 (-.f64 1 y) z (*.f64 x y))
Results
4.0ms0.0bx
4.0ms0.0by
4.0ms0.0bz
4.0ms0.0b(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
Compiler

Compiled 59 to 33 computations (44.1% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×*-commutative_binary64
2×sub-neg_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11311
21711
31911
42011
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 1 y) z (*.f64 x y))
Outputs
(fma.f64 (-.f64 1 y) z (*.f64 x y))
(fma.f64 (-.f64 1 y) z (*.f64 y x))

end14.0ms (0.6%)

Stop Event
1×done
Compiler

Compiled 22 to 14 computations (36.4% saved)

Profiling

Loading profile data...