Details

Time bar (total: 3.2s)

analyze50.0ms (1.6%)

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)

sample15.0ms (0.5%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify9.0ms (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

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
14.1b
Counts
1 → 1
Alt Table
StatusErrorProgram
▶14.1b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

13.7b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite22.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
7×cbrt-prod_binary64
3×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64 *-un-lft-identity_binary64
1×pow1/3_binary64 pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cbrt-div_binary64 div-inv_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)

series57.0ms (1.8%)

Error
5.7b
Counts
1 → 6
Calls

1 calls:

51.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 253 to 217 computations (14.2% saved)

simplify71.0ms (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

prune28.0ms (0.9%)

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
38.2b
(*.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)))
14.8b
(*.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)))))
38.3b
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
✓14.1b
(cbrt.f64 (/.f64 g (*.f64 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 (/.f64 g a)) (cbrt.f64 1/2))
0.9b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
Compiler

Compiled 383 to 283 computations (26.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.4b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.5b
(cbrt.f64 (/.f64 1/2 a))
0.6b
(cbrt.f64 g)

rewrite90.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
39×cbrt-prod_binary64
35×add-sqr-sqrt_binary64
21×add-cube-cbrt_binary64 *-un-lft-identity_binary64
20×times-frac_binary64
16×associate-*r*_binary64
Counts
3 → 74
Calls

3 calls:

11.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
3.0ms
(cbrt.f64 (/.f64 1/2 a))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 1002 to 629 computations (37.2% saved)

series91.0ms (2.9%)

Error
0.2b
Counts
3 → 12
Calls

3 calls:

51.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
18.0ms
(cbrt.f64 (/.f64 1/2 a))
16.0ms
(cbrt.f64 g)
Compiler

Compiled 453 to 384 computations (15.2% saved)

simplify90.0ms (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

prune41.0ms (1.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New35641
Fresh156
Picked011
Done011
Total361349
Error
0.1b
Counts
49 → 13
Alt Table
StatusErrorProgram
▶0.8b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
✓0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
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))))
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)))
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)))))
32.7b
(*.f64 (cbrt.f64 (sqrt.f64 g)) (*.f64 (pow.f64 g 1/6) (cbrt.f64 (/.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)))
38.3b
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
33.9b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 (pow.f64 a -1/3) (cbrt.f64 a))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a)))))
✓14.1b
(cbrt.f64 (/.f64 g (*.f64 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 (/.f64 g a)) (cbrt.f64 1/2))
0.9b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
Compiler

Compiled 678 to 512 computations (24.5% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
0.4b
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
0.5b
(cbrt.f64 (/.f64 -1 a))
0.6b
(cbrt.f64 g)

rewrite123.0ms (3.9%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
42×cbrt-prod_binary64
38×add-sqr-sqrt_binary64
24×add-cube-cbrt_binary64 *-un-lft-identity_binary64
22×associate-*l*_binary64
20×times-frac_binary64
Counts
4 → 97
Calls

4 calls:

10.0ms
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
9.0ms
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
2.0ms
(cbrt.f64 (/.f64 -1 a))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 1538 to 1121 computations (27.1% saved)

series136.0ms (4.3%)

Error
0.1b
Counts
4 → 15
Calls

4 calls:

67.0ms
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
25.0ms
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
19.0ms
(cbrt.f64 (/.f64 -1 a))
16.0ms
(cbrt.f64 g)
Compiler

Compiled 635 to 551 computations (13.2% saved)

simplify109.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
333×*-commutative_binary64
303×log-prod_binary64
289×unswap-sqr_binary64
231×associate-/r*_binary64
229×times-frac_binary64
Counts
112 → 70
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01711572
13221561
28451517
316811435
446281435
550441435

prune69.0ms (2.2%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New66470
Fresh1910
Picked011
Done022
Total671683
Error
0.0b
Counts
83 → 16
Alt Table
StatusErrorProgram
✓0.8b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
✓0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
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))))
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)))
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)))))
31.2b
(*.f64 (cbrt.f64 (sqrt.f64 g)) (*.f64 (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) (cbrt.f64 (sqrt.f64 g))))
▶0.8b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
38.3b
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
1.1b
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) (cbrt.f64 (cbrt.f64 g))))
33.9b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 (pow.f64 a -1/3) (cbrt.f64 a))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a)))))
✓14.1b
(cbrt.f64 (/.f64 g (*.f64 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 (/.f64 g a)) (cbrt.f64 1/2))
1.2b
(*.f64 (cbrt.f64 g) (*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (cbrt.f64 -1) (cbrt.f64 a)))) (cbrt.f64 -1/2)))
0.9b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
1.6b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (*.f64 (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) (cbrt.f64 (cbrt.f64 g))))
Compiler

Compiled 1271 to 919 computations (27.7% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(/.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))

rewrite113.0ms (3.5%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
36×times-frac_binary64
35×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
31×cbrt-prod_binary64
24×sqrt-prod_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
Counts
4 → 95
Calls

4 calls:

4.0ms
(/.f64 (sqrt.f64 1/2) a)
3.0ms
(cbrt.f64 (/.f64 (sqrt.f64 1/2) a))
2.0ms
(cbrt.f64 (sqrt.f64 1/2))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 1600 to 1216 computations (24% saved)

series57.0ms (1.8%)

Error
0.0b
Counts
4 → 9
Calls

4 calls:

23.0ms
(cbrt.f64 (/.f64 (sqrt.f64 1/2) a))
17.0ms
(cbrt.f64 g)
11.0ms
(/.f64 (sqrt.f64 1/2) a)
0.0ms
(cbrt.f64 (sqrt.f64 1/2))
Compiler

Compiled 406 to 355 computations (12.6% saved)

simplify122.0ms (3.9%)

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

prune51.0ms (1.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New51354
Fresh4812
Picked011
Done123
Total561470
Error
0.0b
Counts
70 → 14
Alt Table
StatusErrorProgram
0.8b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
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))))
1.0b
(*.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))))
0.9b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
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)))))
31.2b
(*.f64 (cbrt.f64 (sqrt.f64 g)) (*.f64 (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) (cbrt.f64 (sqrt.f64 g))))
0.8b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
38.3b
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
1.1b
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) (cbrt.f64 (cbrt.f64 g))))
14.1b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
14.2b
(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
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)))
0.9b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
1.6b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (*.f64 (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) (cbrt.f64 (cbrt.f64 g))))
Compiler

Compiled 851 to 664 computations (22% saved)

regimes1.0s (33%)

Accuracy

Total 0.8b remaining (93.1%)

Threshold costs 0.8b (93.1%)

Compiler

Compiled 12540 to 9977 computations (20.4% saved)

simplify5.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11316
21316

end1.0ms (0%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample744.0ms (23.4%)

Algorithm
1×intervals
Results
230.0ms8000×body128valid
Compiler

Compiled 252 to 201 computations (20.2% saved)

Profiling

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