Details

Time bar (total: 3.3s)

analyze49.0ms (1.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
74.9%25%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample16.0ms (0.5%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify11.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2×associate-/r*_binary64
1×*-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2129
3129

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
14.2b
Counts
1 → 1
Alt Table
StatusErrorProgram
▶14.2b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

13.8b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite17.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
7×cbrt-prod_binary64
3×*-un-lft-identity_binary64
3×times-frac_binary64
3×add-sqr-sqrt_binary64
3×add-cube-cbrt_binary64
Counts
1 → 16
Calls

1 calls:

3.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 196 to 140 computations (28.6% saved)

series47.0ms (1.4%)

Error
5.1b
Counts
1 → 6
Calls

1 calls:

42.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 253 to 217 computations (14.2% saved)

simplify72.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
787×div-sub_binary64
390×times-frac_binary64
349×associate-/l*_binary64
300×unswap-sqr_binary64
246×exp-sum_binary64
Counts
22 → 18
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
072333
1115333
2172327
3405293
4875281
52044281
64374281
74967281

prune19.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New11718
Fresh000
Picked011
Done000
Total11819
Error
0.2b
Counts
19 → 8
Alt Table
StatusErrorProgram
✓14.2b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
40.2b
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
40.2b
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
14.5b
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) (cbrt.f64 (/.f64 g (*.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
▶0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
14.8b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
14.2b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
Compiler

Compiled 376 to 280 computations (25.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
0.6b
(cbrt.f64 (*.f64 a 2))
0.6b
(cbrt.f64 g)

rewrite57.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
26×cbrt-prod_binary64
24×times-frac_binary64
21×*-un-lft-identity_binary64
21×add-sqr-sqrt_binary64
21×add-cube-cbrt_binary64
Counts
3 → 66
Calls

3 calls:

5.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
2.0ms
(cbrt.f64 (*.f64 a 2))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 925 to 548 computations (40.8% saved)

series83.0ms (2.5%)

Error
0.2b
Counts
3 → 12
Calls

3 calls:

49.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
16.0ms
(cbrt.f64 (*.f64 a 2))
13.0ms
(cbrt.f64 g)
Compiler

Compiled 443 to 374 computations (15.6% saved)

simplify111.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
639×associate-/r*_binary64
464×associate-*l*_binary64
372×associate-/r/_binary64
357×associate-*l/_binary64
341×exp-sum_binary64
Counts
78 → 39
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01261280
12161214
24961180
314891141
441301137
549921137
649551137

prune29.0ms (0.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New32739
Fresh246
Picked011
Done011
Total341347
Error
0.1b
Counts
47 → 13
Alt Table
StatusErrorProgram
14.4b
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2))) 3))
✓14.2b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
14.6b
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
1.1b
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
40.2b
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
▶0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
14.5b
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) (cbrt.f64 (/.f64 g (*.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
✓0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
14.2b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
30.6b
(*.f64 (/.f64 1 (sqrt.f64 (cbrt.f64 (*.f64 a 2)))) (/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 a 2)))))
34.6b
(*.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
36.2b
(*.f64 (cbrt.f64 (pow.f64 g 2/3)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
1.4b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
Compiler

Compiled 689 to 495 computations (28.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.4b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.6b
(cbrt.f64 (/.f64 1/2 a))
0.6b
(cbrt.f64 g)

rewrite68.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
39×cbrt-prod_binary64
35×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64
21×add-cube-cbrt_binary64
20×times-frac_binary64
Counts
3 → 74
Calls

3 calls:

8.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms
(cbrt.f64 (/.f64 1/2 a))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 1002 to 629 computations (37.2% saved)

series74.0ms (2.3%)

Error
0.1b
Counts
3 → 12
Calls

3 calls:

41.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
15.0ms
(cbrt.f64 (/.f64 1/2 a))
13.0ms
(cbrt.f64 g)
Compiler

Compiled 453 to 384 computations (15.2% saved)

simplify91.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
513×exp-sum_binary64
480×*-commutative_binary64
368×associate-*l*_binary64
306×associate-*r*_binary64
260×associate-/r*_binary64
Counts
86 → 41
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01441167
12541163
26451149
316131115
437011087
548871087

prune32.0ms (1%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New35641
Fresh3710
Picked011
Done022
Total381654
Error
0.1b
Counts
54 → 16
Alt Table
StatusErrorProgram
14.4b
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2))) 3))
✓14.2b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.9b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
✓0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
0.9b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
14.2b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.9b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
14.6b
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
1.1b
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
▶0.8b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
36.0b
(*.f64 (sqrt.f64 (cbrt.f64 g)) (*.f64 (pow.f64 g 1/6) (cbrt.f64 (/.f64 1/2 a))))
14.5b
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) (cbrt.f64 (/.f64 g (*.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
0.9b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
34.6b
(*.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
1.4b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
Compiler

Compiled 705 to 529 computations (25% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b
(/.f64 (sqrt.f64 1/2) a)
0.6b
(cbrt.f64 (/.f64 (sqrt.f64 1/2) a))
0.6b
(cbrt.f64 g)
1.0b
(cbrt.f64 (sqrt.f64 1/2))

rewrite98.0ms (3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
36×times-frac_binary64
35×*-un-lft-identity_binary64
35×add-sqr-sqrt_binary64
35×add-cube-cbrt_binary64
31×cbrt-prod_binary64
Counts
4 → 95
Calls

4 calls:

3.0ms
(/.f64 (sqrt.f64 1/2) a)
3.0ms
(cbrt.f64 (/.f64 (sqrt.f64 1/2) a))
1.0ms
(cbrt.f64 (sqrt.f64 1/2))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 1600 to 1216 computations (24% saved)

series45.0ms (1.4%)

Error
0.1b
Counts
4 → 9
Calls

4 calls:

19.0ms
(cbrt.f64 (/.f64 (sqrt.f64 1/2) a))
15.0ms
(cbrt.f64 g)
7.0ms
(/.f64 (sqrt.f64 1/2) a)
0.0ms
(cbrt.f64 (sqrt.f64 1/2))
Compiler

Compiled 406 to 355 computations (12.6% saved)

simplify118.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
492×div-exp_binary64
434×associate-/r*_binary64
413×associate-/r/_binary64
318×distribute-rgt-in_binary64
310×*-commutative_binary64
Counts
104 → 54
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01351386
12041328
24571318
313671293
429811261
544831204
656741204

prune66.0ms (2%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New49554
Fresh21012
Picked011
Done123
Total521870
Error
0.0b
Counts
70 → 18
Alt Table
StatusErrorProgram
1.0b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (fabs.f64 (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 (cbrt.f64 1/2)) a))))
14.4b
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2))) 3))
14.2b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
30.7b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (/.f64 (fabs.f64 (cbrt.f64 1/2)) (sqrt.f64 a))) (cbrt.f64 (/.f64 (sqrt.f64 (cbrt.f64 1/2)) (sqrt.f64 a)))))
14.6b
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
1.2b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (/.f64 (fabs.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (sqrt.f64 (cbrt.f64 1/2)) (cbrt.f64 a)))))
1.1b
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
0.9b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/2)) a))))
0.8b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (fabs.f64 (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 (cbrt.f64 1/2))))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
14.5b
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) (cbrt.f64 (/.f64 g (*.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
14.2b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.9b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
0.9b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
0.9b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
34.6b
(*.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
1.4b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
Compiler

Compiled 907 to 712 computations (21.5% saved)

regimes1.2s (35.8%)

Accuracy

Total 0.8b remaining (95.9%)

Threshold costs 0.8b (95.9%)

Compiler

Compiled 16637 to 13229 computations (20.5% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
1×/-rgt-identity_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11311
21211

end1.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample955.0ms (29.3%)

Algorithm
1×intervals
Results
313.0ms8000×body128valid
Compiler

Compiled 305 to 246 computations (19.3% saved)

Profiling

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