Details

Time bar (total: 6.3s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.4s (22.1%)

Results
1.4s8256×body256valid
2.0ms22×body256invalid

preprocess202.0ms (3.2%)

Algorithm
2×egg-herbie
Rules
600×unsub-neg_binary64
587×distribute-rgt-out--_binary64
492×fma-neg_binary64
438×distribute-neg-in_binary64
411×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11820
22520
33620
45320
58120
612820
734520
871320
9151820
10289820
11433820
12531220
13562320
14592720
15602820
16610620
17637420
18732020
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify147.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
600×unsub-neg_binary64
587×distribute-rgt-out--_binary64
492×fma-neg_binary64
438×distribute-neg-in_binary64
411×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11820
22520
33620
45320
58120
612820
734520
871320
9151820
10289820
11433820
12531220
13562320
14592720
15602820
16610620
17637420
18732020
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

eval0.0ms (0%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓0.0b
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
✓0.0b
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
✓0.2b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 53 to 29 computations (45.3% saved)

series10.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
2.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms
x
@inf
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0ms
x
@inf
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

rewrite119.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
519×log-prod_binary64
399×fma-def_binary64
368×pow-prod-down_binary64
282×pow2_binary64
203×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01059
122559
2329257
Stop Event
1×node limit
Counts
4 → 237
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Outputs
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simplify73.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
669×times-frac_binary64
560×fma-neg_binary64
554×cancel-sign-sub-inv_binary64
490×fma-def_binary64
348×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01261049
13781002
21142970
34203950
Stop Event
1×node limit
Counts
285 → 323
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 x)))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 x (*.f64 x -1/4) (*.f64 -3/32 (pow.f64 x 4))) (log.f64 x)))
(fma.f64 x (*.f64 x -1/4) (fma.f64 -3/32 (pow.f64 x 4) (-.f64 (log.f64 2) (log.f64 x))))
(+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))) (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -5/96 (pow.f64 x 6) (-.f64 (fma.f64 x (*.f64 x -1/4) (*.f64 -3/32 (pow.f64 x 4))) (log.f64 x))))
(fma.f64 -5/96 (pow.f64 x 6) (fma.f64 x (*.f64 x -1/4) (fma.f64 -3/32 (pow.f64 x 4) (-.f64 (log.f64 2) (log.f64 x)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/6 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3)))
(-.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 -1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (/.f64 (/.f64 1 x) (sqrt.f64 -1))))
(-.f64 (log.f64 (sqrt.f64 -1)) (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 3/40 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 5)))) (/.f64 (/.f64 1/6 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (-.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(+.f64 (-.f64 (log.f64 (sqrt.f64 -1)) (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1)))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(fma.f64 3 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 -1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 -1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 3/40 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 5))))
(+.f64 (/.f64 -1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (/.f64 -3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))) (fma.f64 3 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 -3/40 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5))))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x -1/2 (/.f64 2 x)))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 (pow.f64 x 5) -1/16)))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x -1/2 (fma.f64 (pow.f64 x 5) -1/16 (/.f64 2 x))))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/8 (fma.f64 (pow.f64 x 5) -1/16 (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (-.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 4))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(-.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (/.f64 -1/8 (*.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (/.f64 1/8 (*.f64 x x)) 1/2)))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x -1/2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 1 x)) (*.f64 (pow.f64 x 5) -1/16)))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x -1/2 (fma.f64 (pow.f64 x 5) -1/16 (/.f64 1 x))))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/8 (fma.f64 (pow.f64 x 5) -1/16 (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 4))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 4))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1))) (-.f64 (/.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 4)))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 -1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))) (-.f64 (sqrt.f64 -1) (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 4))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(-.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(-.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(+.f64 (-.f64 (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(+.f64 (/.f64 -1/8 (*.f64 (pow.f64 x 4) (sqrt.f64 -1))) (-.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1)))
(-.f64 (*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (/.f64 1/8 (*.f64 x x)) 1/2)) (sqrt.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (-.f64 (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 -1)) (-.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))))
(+.f64 (/.f64 -1/8 (*.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (-.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1)) (/.f64 -1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (-.f64 (*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (/.f64 1/8 (*.f64 x x)) 1/2)) (sqrt.f64 -1)) (/.f64 (/.f64 -1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8)))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 4) -1/8)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) -1/8 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 6) -1/16 (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) -1/16))))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (fma.f64 (pow.f64 x 6) -1/16 (*.f64 (pow.f64 x 4) -1/8)))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))))
(-.f64 (+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (+.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(+.f64 (+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 3))) (/.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5)))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 (sqrt.f64 -1) (neg.f64 x))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(-.f64 (/.f64 (/.f64 -1/2 x) (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 -1) (neg.f64 x) (/.f64 (/.f64 -1/2 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (-.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) 1/8 (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))))
(-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))))
(-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (*.f64 (neg.f64 (sqrt.f64 -1)) x)) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(-.f64 (fma.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) 1/8 (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))) (/.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5)))
(+.f64 (-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))

eval477.0ms (7.5%)

Compiler

Compiled 6738 to 4518 computations (32.9% saved)

prune323.0ms (5.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3176323
Fresh000
Picked011
Done000
Total3177324
Error
0b
Counts
324 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
▶1.2b
(log.f64 (/.f64 2 x))
0.2b
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
✓0.3b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶0.8b
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
▶1.1b
(-.f64 (log.f64 2) (log.f64 x))
▶0.8b
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
Compiler

Compiled 140 to 106 computations (24.3% saved)

localize51.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
✓0.0b
(sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
✓0.0b
(log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
✓0.3b
(/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)
Compiler

Compiled 77 to 40 computations (48.1% saved)

series12.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)
2.0ms
x
@0
(log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
1.0ms
x
@-inf
(log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
1.0ms
x
@inf
(/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)
1.0ms
x
@inf
(log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))

rewrite106.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
464×log-prod_binary64
341×exp-prod_binary64
304×pow-prod-down_binary64
259×prod-diff_binary64
253×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01066
120966
2263766
Stop Event
1×node limit
Counts
4 → 222
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)
(log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
(sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 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(*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1) 2))))))

simplify88.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
758×fma-def_binary64
596×fma-neg_binary64
378×associate-/r*_binary64
363×div-sub_binary64
335×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01481450
14561293
215811059
366861057
Stop Event
1×node limit
Counts
258 → 289
Calls
Call 1
Inputs
(sqrt.f64 (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1)))))
(*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))
(+.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 x))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 x)))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 x))))))
(log.f64 (sqrt.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (log.f64 (sqrt.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (log.f64 (sqrt.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 -3 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (log.f64 (sqrt.f64 (sqrt.f64 -1)))))
(log.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) x))) (log.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) x))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 x 2)))))
(+.f64 (log.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 -1/6 (/.f64 (-.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 (sqrt.f64 -1) 6))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) x))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 x 2))))))
(*.f64 (sqrt.f64 (sqrt.f64 -1)) x)
(+.f64 (*.f64 (sqrt.f64 (sqrt.f64 -1)) x) (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) x) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (*.f64 (sqrt.f64 (sqrt.f64 -1)) x) (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) x) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (*.f64 (sqrt.f64 (sqrt.f64 -1)) x) (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))))))
(*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) x))
(+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) x)))
(+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) x)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) x)))))
(+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) x)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 2)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) x))))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 -1) (pow.f64 x 2))
(+.f64 x (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) x) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
Outputs
(sqrt.f64 (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x)) (sqrt.f64 (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) x) (sqrt.f64 (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1/2 x) (sqrt.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 x x))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x)) (sqrt.f64 (sqrt.f64 -1))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 x x))) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) x) (sqrt.f64 (sqrt.f64 -1))))
(fma.f64 1/2 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))) x) 1) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) x)) (sqrt.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1)))))
(fma.f64 -1/4 (*.f64 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 x x))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x)) (sqrt.f64 (sqrt.f64 -1)))))
(fma.f64 -1/4 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (/.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 x x))) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) x) (sqrt.f64 (sqrt.f64 -1)))))
(fma.f64 -1/4 (/.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))))) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))) x) 1) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) x)) (sqrt.f64 (sqrt.f64 -1))))
(*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))
(neg.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))
(neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))
(neg.f64 (pow.f64 (sqrt.f64 -1) 3/2))
(+.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 x))))
(fma.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) (*.f64 -1/2 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))
(fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) x) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) (/.f64 -1/2 x)) (pow.f64 (sqrt.f64 -1) 3/2))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 x)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) (*.f64 x x))) (fma.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) (*.f64 -1/2 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))))
(fma.f64 1/2 (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) x) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) x)) (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) x) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 (/.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))))))) (pow.f64 (sqrt.f64 -1) 3/2))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 x))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) (*.f64 x x))) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) (pow.f64 x 3))) (fma.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) (*.f64 -1/2 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))))
(fma.f64 1/2 (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) x) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) x)) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) x) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))))
(fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))) (pow.f64 x 3))) (-.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 (/.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))))))) (pow.f64 (sqrt.f64 -1) 3/2)))
(log.f64 (sqrt.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (log.f64 (sqrt.f64 (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (log.f64 (sqrt.f64 (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 -3 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (log.f64 (sqrt.f64 (sqrt.f64 -1)))))
(fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 3)) (*.f64 -3 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3)) (+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) x))))
(fma.f64 1/6 (/.f64 (fma.f64 -3 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) -1) (/.f64 -1/4 (sqrt.f64 -1))) (pow.f64 x 3)) (+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 1/6 (/.f64 (fma.f64 -3 (-.f64 (/.f64 -1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))) (/.f64 -1/4 (sqrt.f64 -1))) (pow.f64 x 3)) (log.f64 (sqrt.f64 (sqrt.f64 -1)))))
(log.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))))
(log.f64 (neg.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))))
(log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1)))))
(log.f64 (neg.f64 (pow.f64 (sqrt.f64 -1) 3/2)))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) x))) (log.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 -1) 3))))
(fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(+.f64 (log.f64 (neg.f64 (pow.f64 (sqrt.f64 -1) 3/2))) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) x))
(+.f64 (log.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) x))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 x 2)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 6))) (*.f64 x x)))))
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (/.f64 (+.f64 1/4 (*.f64 1 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) (sqrt.f64 -1)))) (*.f64 x x))) (log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 (fma.f64 1/2 (-.f64 -1/2 (/.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) 1/4))) 1/8) (*.f64 x x)) (+.f64 (log.f64 (neg.f64 (pow.f64 (sqrt.f64 -1) 3/2))) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) x)))
(+.f64 (/.f64 (fma.f64 1/2 (-.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (neg.f64 (sqrt.f64 -1))) -1/4) 1/8) (*.f64 x x)) (+.f64 (log.f64 (neg.f64 (pow.f64 (sqrt.f64 -1) 3/2))) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) x)))
(+.f64 (log.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 -1/6 (/.f64 (-.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 (sqrt.f64 -1) 6))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) x))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 x 2))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))) (fma.f64 -1/6 (/.f64 (-.f64 (*.f64 -3 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) (pow.f64 (sqrt.f64 -1) 6))) (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 9))) (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 6))) (*.f64 x x))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))))) (fma.f64 1/2 (+.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (/.f64 (+.f64 1/4 (*.f64 1 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) (sqrt.f64 -1)))) (*.f64 x x))) (/.f64 -1/6 (/.f64 (pow.f64 x 3) (fma.f64 -3 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) -1) (/.f64 -1/4 (pow.f64 (sqrt.f64 -1) 9)))))))
(+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) x) (+.f64 (fma.f64 -1/6 (/.f64 (fma.f64 -3 (-.f64 (/.f64 -1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))) (/.f64 -1/4 (pow.f64 (sqrt.f64 -1) 9))) (pow.f64 x 3)) (/.f64 (fma.f64 1/2 (-.f64 -1/2 (/.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) 1/4))) 1/8) (*.f64 x x))) (log.f64 (neg.f64 (pow.f64 (sqrt.f64 -1) 3/2)))))
(+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) x) (+.f64 (fma.f64 -1/6 (/.f64 (fma.f64 3 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))) (/.f64 -1/4 (pow.f64 (sqrt.f64 -1) 9))) (pow.f64 x 3)) (/.f64 (fma.f64 1/2 (-.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (neg.f64 (sqrt.f64 -1))) -1/4) 1/8) (*.f64 x x))) (log.f64 (neg.f64 (pow.f64 (sqrt.f64 -1) 3/2)))))
(*.f64 (sqrt.f64 (sqrt.f64 -1)) x)
(+.f64 (*.f64 (sqrt.f64 (sqrt.f64 -1)) x) (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (sqrt.f64 -1)) x (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (*.f64 (sqrt.f64 (sqrt.f64 -1)) x))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) x) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (*.f64 (sqrt.f64 (sqrt.f64 -1)) x) (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) x)) (fma.f64 (sqrt.f64 (sqrt.f64 -1)) x (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) x)) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (*.f64 (sqrt.f64 (sqrt.f64 -1)) x)))
(fma.f64 (sqrt.f64 (sqrt.f64 -1)) x (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))) x) 1) (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) x) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (*.f64 (sqrt.f64 (sqrt.f64 -1)) x) (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 -1/4 (*.f64 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) x)) (fma.f64 (sqrt.f64 (sqrt.f64 -1)) x (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 -1/4 (*.f64 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 x x)) (sqrt.f64 (/.f64 -1 (sqrt.f64 -1)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) x)) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (*.f64 (sqrt.f64 (sqrt.f64 -1)) x))))
(fma.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))) (*.f64 x x)) (*.f64 -1/4 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (sqrt.f64 -1)) x (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))) x) 1) (*.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))))))
(*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) x))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) x)
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) (neg.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1) 3/2) (neg.f64 x))
(+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) x)))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) x))
(fma.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2 (*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 -1))) (neg.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 3/2) (neg.f64 x)))
(+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) x)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) x)))))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 -1 (*.f64 x (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) x)))))
(fma.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) x) (*.f64 1/2 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))))) (*.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))) x)) -1/2)) (*.f64 x (pow.f64 (sqrt.f64 -1) 3/2)))
(+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)) x)) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 2)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) x))))))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 -1 (*.f64 x (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 -1/4 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) (*.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) 2)) x))))))
(fma.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2 (-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) x) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) x)) (*.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) -1/2) 2)) x) (*.f64 1/2 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1)))))) (*.f64 x (sqrt.f64 (neg.f64 (sqrt.f64 -1))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) (/.f64 -1/4 (/.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))))) (*.f64 (pow.f64 (sqrt.f64 -1) 3/2) (neg.f64 x))) (*.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 -1/4 (sqrt.f64 -1))) x)) -1/2)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) -1/2))
(fma.f64 (pow.f64 x 3) -1/2 (*.f64 x 2))
(fma.f64 x 2 (*.f64 (pow.f64 x 3) -1/2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 -1/2 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 5))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 -1/8 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 -1/8 (pow.f64 x 5) (*.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 7) (*.f64 -1/8 (pow.f64 x 5)))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) -1/2 (fma.f64 -1/8 (pow.f64 x 5) (*.f64 -1/16 (pow.f64 x 7)))))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 x 2 (fma.f64 -1/8 (pow.f64 x 5) (*.f64 -1/16 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 -1) (pow.f64 x 2))
(*.f64 (sqrt.f64 -1) (*.f64 x x))
(+.f64 x (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 x (*.f64 (sqrt.f64 -1) (*.f64 x x)))
(fma.f64 (sqrt.f64 -1) (*.f64 x x) x)
(+.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 x (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 x (fma.f64 (sqrt.f64 -1) (*.f64 x x) (/.f64 1/2 (sqrt.f64 -1))))
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 x (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 1/8 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 x (-.f64 (fma.f64 (sqrt.f64 -1) (*.f64 x x) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 (/.f64 1/8 (*.f64 x x)) (neg.f64 (sqrt.f64 -1)))))
(+.f64 x (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (fma.f64 (sqrt.f64 -1) (*.f64 x x) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (*.f64 x x))))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(neg.f64 (*.f64 (sqrt.f64 -1) (*.f64 x x)))
(*.f64 (sqrt.f64 -1) (neg.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 -1) (*.f64 x (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 x x)) x)
(-.f64 x (*.f64 (sqrt.f64 -1) (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) x) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(-.f64 (fma.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 x x)) x) (/.f64 1/2 (sqrt.f64 -1)))
(+.f64 (-.f64 x (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 -1/2 (sqrt.f64 -1)))
(-.f64 x (fma.f64 (sqrt.f64 -1) (*.f64 x x) (/.f64 1/2 (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 1/8 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3))) (-.f64 (fma.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 x x)) x) (/.f64 1/2 (sqrt.f64 -1))))
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (+.f64 (-.f64 x (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 -1/2 (sqrt.f64 -1))))
(+.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (-.f64 x (fma.f64 (sqrt.f64 -1) (*.f64 x x) (/.f64 1/2 (sqrt.f64 -1)))))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(log.f64 (/.f64 2 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series78.0ms (1.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
47.0ms
x
@-inf
(log.f64 (/.f64 2 x))
24.0ms
x
@0
(log.f64 (/.f64 2 x))
7.0ms
x
@inf
(log.f64 (/.f64 2 x))

rewrite48.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
476×pow1_binary64
465×add-sqr-sqrt_binary64
454×*-un-lft-identity_binary64
443×add-log-exp_binary64
443×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11056
212106
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -2) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 2 x))))))))

simplify57.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
155×fma-neg_binary64
118×fma-def_binary64
56×cancel-sign-sub-inv_binary64
44×sub-neg_binary64
39×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017124
127108
240108
360108
4109108
5204108
6336108
7510108
8658108
9779108
10799108
Stop Event
1×saturated
Counts
37 → 28
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
✓0.2b
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 35 to 27 computations (22.9% saved)

series3.0ms (0.1%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
1.0ms
x
@-inf
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
1.0ms
x
@0
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
0.0ms
x
@0
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
0.0ms
x
@inf
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))

rewrite197.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
981×pow1_binary64
913×add-log-exp_binary64
912×log1p-expm1-u_binary64
912×expm1-log1p-u_binary64
102×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
121118
2258318
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4 (pow.f64 x -2)))) (log.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) (/.f64 (*.f64 4 (pow.f64 x -2)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2)) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4 (pow.f64 x -2))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))) (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 4 (pow.f64 x -2)) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 -1/2 (*.f64 x (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4 (pow.f64 x -2))) (-.f64 (*.f64 -1/2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4 (pow.f64 x -2)))) (neg.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (pow.f64 x -2)) (*.f64 1/4 (*.f64 x x))) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 x (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/2 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -2))) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 x)) 2) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))))))

simplify56.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
671×fma-def_binary64
585×times-frac_binary64
386×associate-+l-_binary64
326×associate-+r+_binary64
285×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057298
1155276
2461274
31573270
46301270
Stop Event
1×node limit
Counts
76 → 88
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/32 (pow.f64 x 4) (*.f64 x (*.f64 x -1/4))) (log.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/4) (fma.f64 -1/32 (pow.f64 x 4) (log.f64 2))) (log.f64 x))
(+.f64 (*.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 x)) (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 6) (-.f64 (fma.f64 -1/32 (pow.f64 x 4) (*.f64 x (*.f64 x -1/4))) (log.f64 x))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/32) -1/4) (-.f64 (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2)) (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (/.f64 (/.f64 4 x) x)))
(-.f64 (log.f64 x) (-.f64 (/.f64 (/.f64 4 x) x) (log.f64 -1/2)))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 -1/2) (/.f64 -8 (pow.f64 x 4))) (/.f64 -4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 x) (/.f64 8 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (/.f64 -4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (-.f64 (-.f64 (log.f64 x) (/.f64 8 (pow.f64 x 4))) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (log.f64 x) (-.f64 (+.f64 (+.f64 (log.f64 -1/2) (/.f64 -8 (pow.f64 x 4))) (/.f64 -4 (*.f64 x x))) (/.f64 64/3 (pow.f64 x 6))))
(+.f64 (+.f64 (log.f64 x) (log.f64 -1/2)) (-.f64 (/.f64 -64/3 (pow.f64 x 6)) (-.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 -4 (*.f64 x x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (-.f64 (/.f64 -4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 8 (pow.f64 x 4))) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 8 (pow.f64 x 4))) (/.f64 -4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 -8 (pow.f64 x 4)) (-.f64 (/.f64 -4 (*.f64 x x)) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (/.f64 -8 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6)))))
(-.f64 (+.f64 (-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 8 (pow.f64 x 4))) (/.f64 -4 (*.f64 x x))) (/.f64 64/3 (pow.f64 x 6)))
(-.f64 (-.f64 (-.f64 (log.f64 1/2) (/.f64 64/3 (pow.f64 x 6))) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 8 (pow.f64 x 4)))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 1/2) (+.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 -64/3 (pow.f64 x 6)))))
(+.f64 (log.f64 1/2) (+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -64/3 (pow.f64 x 6))) (-.f64 (/.f64 -8 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))))
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)

localize41.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
✓0.0b
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
✓0.2b
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
Compiler

Compiled 40 to 29 computations (27.5% saved)

series3.0ms (0%)

Counts
3 → 27
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
0.0ms
x
@0
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
0.0ms
x
@-inf
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
0.0ms
x
@-inf
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
0.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))

rewrite205.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
446×fma-def_binary64
430×log-prod_binary64
330×exp-prod_binary64
303×pow-prod-down_binary64
250×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0938
119838
2279538
Stop Event
1×node limit
Counts
3 → 210
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
Outputs
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(sqrt.f64 x)) (sqrt.f64 x) (+.f64 (/.f64 1 x) (/.f64 1 x)))))))

simplify62.0ms (1%)

Algorithm
1×egg-herbie
Rules
677×fma-def_binary64
587×times-frac_binary64
385×associate-+l-_binary64
317×associate-+r+_binary64
285×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059382
1161360
2470358
31582354
46300354
Stop Event
1×node limit
Counts
237 → 240
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (log.f64 2) (fma.f64 x (*.f64 x -1/4) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(-.f64 (fma.f64 x (*.f64 x -1/4) (fma.f64 -1/32 (pow.f64 x 4) (log.f64 2))) (log.f64 x))
(+.f64 (*.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 x)) (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 6) (fma.f64 x (*.f64 x -1/4) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/32) -1/4) (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2))) (log.f64 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 4 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (/.f64 (/.f64 4 x) x)))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (log.f64 x) (/.f64 -8 (pow.f64 x 4))) (/.f64 -4 (*.f64 x x))))
(+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -8 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (log.f64 -1/2) (-.f64 (-.f64 (log.f64 x) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))) (/.f64 (/.f64 4 x) x)))
(+.f64 (log.f64 -1/2) (+.f64 (-.f64 (+.f64 (log.f64 x) (/.f64 -4 (*.f64 x x))) (/.f64 64/3 (pow.f64 x 6))) (/.f64 -8 (pow.f64 x 4))))
(-.f64 (log.f64 x) (+.f64 (-.f64 (-.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 -4 (*.f64 x x))) (log.f64 -1/2)) (/.f64 64/3 (pow.f64 x 6))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (-.f64 (/.f64 -4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 8 (pow.f64 x 4))) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 8 (pow.f64 x 4))) (/.f64 -4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 -8 (pow.f64 x 4)) (-.f64 (/.f64 -4 (*.f64 x x)) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (/.f64 -8 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6)))))
(-.f64 (+.f64 (-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 8 (pow.f64 x 4))) (/.f64 -4 (*.f64 x x))) (/.f64 64/3 (pow.f64 x 6)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (+.f64 (log.f64 1/2) (/.f64 -8 (pow.f64 x 4))) (-.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))))
(-.f64 (-.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -4 (*.f64 x x)))))
(/.f64 1 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(-.f64 (log.f64 2) (log.f64 x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

series61.0ms (1%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
34.0ms
x
@-inf
(-.f64 (log.f64 2) (log.f64 x))
17.0ms
x
@0
(-.f64 (log.f64 2) (log.f64 x))
11.0ms
x
@inf
(-.f64 (log.f64 2) (log.f64 x))

rewrite97.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
641×pow1_binary64
600×add-log-exp_binary64
599×log1p-expm1-u_binary64
599×expm1-log1p-u_binary64
588×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
11286
216356
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (log.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 2) (neg.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 2) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))))))

simplify208.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
2995×fma-neg_binary64
842×distribute-rgt-in_binary64
484×distribute-lft-in_binary64
457×distribute-neg-in_binary64
438×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01696
13864
27164
315864
439264
596364
6283064
7389764
8432264
9439664
10443064
11443264
12443264
13448564
14499864
15565164
16630064
17659664
18668664
19672864
20675664
Stop Event
1×node limit
Counts
43 → 38
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
Outputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 2) (log.f64 x))

eval1.2s (19.2%)

Compiler

Compiled 14328 to 10484 computations (26.8% saved)

prune117.0ms (1.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New6812683
Fresh011
Picked101
Done145
Total6837690
Error
0b
Counts
690 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.9b
(neg.f64 (log.f64 (/.f64 x 2)))
▶0.2b
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
✓0.3b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓0.8b
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
✓1.2b
(log.f64 (/.f64 2 x))
✓0.8b
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
▶1.2b
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
Compiler

Compiled 70 to 55 computations (21.4% saved)

localize12.0ms (0.2%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize21.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓0.2b
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
Compiler

Compiled 40 to 19 computations (52.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
1.0ms
x
@inf
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
0.0ms
x
@-inf
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

rewrite63.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
991×pow1_binary64
924×add-log-exp_binary64
923×expm1-log1p-u_binary64
922×log1p-expm1-u_binary64
108×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01018
121516
2289616
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 x) 2) (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (/.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 0) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2)) (/.f64 1 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2)) (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))) (neg.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (*.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))

simplify67.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
743×fma-def_binary64
685×associate-*l*_binary64
552×associate-*r*_binary64
420×sub-neg_binary64
222×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058308
1162302
2446290
31676282
47469282
Stop Event
1×node limit
Counts
50 → 59
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4)))) (log.f64 x))
(-.f64 (+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4))))) (log.f64 x))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (log.f64 (sqrt.f64 -1)) (log.f64 -1))
(-.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 -1)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 -1)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (log.f64 -1) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))))
Outputs
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (*.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4)))) (log.f64 x))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -3/32 (pow.f64 x 4) (*.f64 x (*.f64 x -1/4))) (log.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/4) (fma.f64 -3/32 (pow.f64 x 4) (log.f64 2))) (log.f64 x))
(-.f64 (+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4))))) (log.f64 x))
(-.f64 (fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))))) (log.f64 x))
(+.f64 (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2)) (-.f64 (fma.f64 -3/32 (pow.f64 x 4) (*.f64 x (*.f64 x -1/4))) (log.f64 x)))
(-.f64 (fma.f64 -5/96 (pow.f64 x 6) (fma.f64 x (*.f64 x -1/4) (fma.f64 -3/32 (pow.f64 x 4) (log.f64 2)))) (log.f64 x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -3/32) -1/4) (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2))) (log.f64 x))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))
(-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (*.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)))))
(-.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 -1/6 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x)))
(-.f64 (log.f64 (sqrt.f64 -1)) (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (+.f64 (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (-.f64 (log.f64 (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 -1/6 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (-.f64 (log.f64 (sqrt.f64 -1)) (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(-.f64 (log.f64 (sqrt.f64 -1)) (log.f64 -1))
(-.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 -1)))
(-.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (log.f64 -1)))
(-.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (log.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (log.f64 -1)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 -1)))
(+.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (-.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (log.f64 -1))))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (log.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 -1/6 (sqrt.f64 -1)) (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (log.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x)) (log.f64 -1)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (log.f64 -1) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (log.f64 -1))))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (log.f64 -1))))
(+.f64 (/.f64 (/.f64 -1/6 (sqrt.f64 -1)) (pow.f64 x 3)) (+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (log.f64 -1))) (/.f64 -3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x))) (-.f64 (/.f64 -3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (log.f64 -1)))

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (log.f64 (/.f64 2 x)))
✓0.0b
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
0.2b
(log.f64 (/.f64 2 x))
Compiler

Compiled 25 to 20 computations (20% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
0.0ms
x
@inf
(+.f64 1 (log.f64 (/.f64 2 x)))
0.0ms
x
@-inf
(+.f64 1 (log.f64 (/.f64 2 x)))
0.0ms
x
@0
(+.f64 1 (log.f64 (/.f64 2 x)))
0.0ms
x
@inf
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)

rewrite72.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
846×pow1_binary64
795×add-log-exp_binary64
794×log1p-expm1-u_binary64
794×expm1-log1p-u_binary64
783×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0821
118115
2243215
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(+.f64 1 (log.f64 (/.f64 2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (+.f64 (log.f64 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1)) (+.f64 (log.f64 (/.f64 2 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1))) (-.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (-.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (log.f64 (/.f64 2 x)))) (/.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (-.f64 1 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (/.f64 1 (-.f64 1 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))) (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (log.f64 (/.f64 2 x))) (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (-.f64 1 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (-.f64 1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2))) (neg.f64 (-.f64 1 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1) (+.f64 (log.f64 (/.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) 1) (-.f64 1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 2 x) (E.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 (/.f64 2 x) (E.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) 1)))))

simplify78.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
524×fma-neg_binary64
272×fma-def_binary64
167×cancel-sign-sub-inv_binary64
143×sub-neg_binary64
86×associate--l+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020284
137252
269252
3132252
4252252
5477252
6813252
71299252
81698252
92050252
102158252
112162252
Stop Event
1×saturated
Counts
104 → 89
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) 1)
(+.f64 (log.f64 2) (-.f64 1 (log.f64 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) 1)
(+.f64 (log.f64 2) (-.f64 1 (log.f64 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) 1)
(+.f64 (log.f64 2) (-.f64 1 (log.f64 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) 1)
(+.f64 (log.f64 2) (-.f64 1 (log.f64 x)))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) 1)
(+.f64 (log.f64 2) (-.f64 1 (log.f64 x)))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) 1)
(+.f64 (log.f64 2) (-.f64 1 (log.f64 x)))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) 1)
(+.f64 (log.f64 2) (-.f64 1 (log.f64 x)))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) 1)
(+.f64 (log.f64 2) (-.f64 1 (log.f64 x)))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.f64 (+.f64 1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -2) 1))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 1 (log.f64 -2)))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.f64 (+.f64 1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -2) 1))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 1 (log.f64 -2)))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.f64 (+.f64 1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -2) 1))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 1 (log.f64 -2)))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.f64 (+.f64 1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -2) 1))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 1 (log.f64 -2)))

eval88.0ms (1.4%)

Compiler

Compiled 3674 to 2770 computations (24.6% saved)

prune39.0ms (0.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2281229
Fresh000
Picked011
Done156
Total2297236
Error
0b
Counts
236 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
✓1.2b
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
✓0.9b
(neg.f64 (log.f64 (/.f64 x 2)))
✓0.3b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓0.8b
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
✓1.2b
(log.f64 (/.f64 2 x))
✓0.8b
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
Compiler

Compiled 69 to 54 computations (21.7% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓0.2b
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
Compiler

Compiled 36 to 18 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
0.0ms
x
@inf
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
0.0ms
x
@-inf
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))

rewrite69.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
977×pow1_binary64
911×add-log-exp_binary64
910×expm1-log1p-u_binary64
909×log1p-expm1-u_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
119216
2252716
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))))))

simplify56.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
743×fma-def_binary64
685×associate-*l*_binary64
552×associate-*r*_binary64
420×sub-neg_binary64
222×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058308
1162302
2446290
31676282
47469282
Stop Event
1×node limit
Counts
48 → 57
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4)))) (log.f64 x))
(-.f64 (+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4))))) (log.f64 x))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (log.f64 (sqrt.f64 -1)) (log.f64 -1))
(-.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 -1)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 -1)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (log.f64 -1) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))))
Outputs
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (*.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4)))) (log.f64 x))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -3/32 (pow.f64 x 4) (*.f64 x (*.f64 x -1/4))) (log.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/4) (fma.f64 -3/32 (pow.f64 x 4) (log.f64 2))) (log.f64 x))
(-.f64 (+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4))))) (log.f64 x))
(-.f64 (fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))))) (log.f64 x))
(+.f64 (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2)) (-.f64 (fma.f64 -3/32 (pow.f64 x 4) (*.f64 x (*.f64 x -1/4))) (log.f64 x)))
(-.f64 (fma.f64 -5/96 (pow.f64 x 6) (fma.f64 x (*.f64 x -1/4) (fma.f64 -3/32 (pow.f64 x 4) (log.f64 2)))) (log.f64 x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -3/32) -1/4) (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2))) (log.f64 x))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))
(-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (*.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)))))
(-.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 -1/6 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x)))
(-.f64 (log.f64 (sqrt.f64 -1)) (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (+.f64 (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (-.f64 (log.f64 (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 -1/6 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (-.f64 (log.f64 (sqrt.f64 -1)) (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(-.f64 (log.f64 (sqrt.f64 -1)) (log.f64 -1))
(-.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 -1)))
(-.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (log.f64 -1)))
(-.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (log.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (log.f64 -1)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 -1)))
(+.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (-.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (log.f64 -1))))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (log.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 -1/6 (sqrt.f64 -1)) (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (log.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x)) (log.f64 -1)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (log.f64 -1) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (log.f64 -1))))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (log.f64 -1))))
(+.f64 (/.f64 (/.f64 -1/6 (sqrt.f64 -1)) (pow.f64 x 3)) (+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (log.f64 -1))) (/.f64 -3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x))) (-.f64 (/.f64 -3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (log.f64 -1)))

eval41.0ms (0.6%)

Compiler

Compiled 2020 to 1369 computations (32.2% saved)

prune17.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1091110
Fresh000
Picked011
Done156
Total1107117
Error
0b
Counts
117 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓0.9b
(neg.f64 (log.f64 (/.f64 x 2)))
✓0.2b
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
✓1.2b
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
✓0.8b
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
✓1.2b
(log.f64 (/.f64 2 x))
✓0.8b
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
Compiler

Compiled 67 to 53 computations (20.9% saved)

regimes24.0ms (0.4%)

Counts
11 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (/.f64 x 2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
Outputs
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
Calls

3 calls:

7.0ms
x
6.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
6.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.0b1(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 134 to 92 computations (31.3% saved)

regimes22.0ms (0.4%)

Counts
10 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (/.f64 x 2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
Outputs
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
Calls

3 calls:

7.0ms
x
6.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
6.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.2b1(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 119 to 83 computations (30.3% saved)

regimes18.0ms (0.3%)

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

3 calls:

5.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.3b1(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 98 to 72 computations (26.5% saved)

regimes8.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (/.f64 x 2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(-.f64 (log.f64 2) (log.f64 x))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.8b1x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes6.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (/.f64 x 2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Outputs
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.8b1x
Compiler

Compiled 30 to 24 computations (20% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.3b remaining (-28%)

Threshold costs -0.3b (-28%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.9b1x
Compiler

Compiled 20 to 16 computations (20% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×+-commutative_binary64
7×*-commutative_binary64
6×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032103
151103
262103
369103
472103
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(neg.f64 (log.f64 (/.f64 x 2)))
(log.f64 (/.f64 2 x))
Outputs
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (*.f64 x -1/2))))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (*.f64 x -1/2) (*.f64 2 (/.f64 1 x))))
(neg.f64 (log.f64 (/.f64 x 2)))
(log.f64 (/.f64 2 x))
Compiler

Compiled 74 to 56 computations (24.3% saved)

soundness0.0ms (0%)

end52.0ms (0.8%)

Compiler

Compiled 68 to 48 computations (29.4% saved)

Profiling

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