Details

Time bar (total: 3.5s)

analyze24.0ms (0.7%)

Algorithm
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 7 to 7 computations (0% saved)

sample13.0ms (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify100.0ms (2.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0129
1129

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
14.2b
Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64_2496
*-un-lft-identity_binary64_2465 times-frac_binary64_2471 add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487
add-log-exp_binary64_2504 cbrt-div_binary64_2497 add-exp-log_binary64_2503 pow1/3_binary64_2547 add-cbrt-cube_binary64_2501 div-inv_binary64_2462 pow1_binary64_2526
Counts
1 → 16
Calls

1 calls:

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

series75.0ms (2.1%)

Counts
1 → 3
Calls

1 calls:

75.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify64.0ms (1.8%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04895244
14895244

prune28.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New11819
Fresh000
Picked011
Done000
Total11920
Error
0.2b
Counts
20 → 9
Compiler

Compiled 300 to 227 computations (24.3% 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 g)
0.6b
(cbrt.f64 (/.f64 1/2 a))

rewrite18.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod_binary64_2496
35×add-sqr-sqrt_binary64_2487
21×*-un-lft-identity_binary64_2465 add-cube-cbrt_binary64_2500
20×times-frac_binary64_2471
16×associate-*r*_binary64_2405
unswap-sqr_binary64_2433 associate-*l*_binary64_2406
add-exp-log_binary64_2503 pow1_binary64_2526
pow1/3_binary64_2547
add-log-exp_binary64_2504 add-cbrt-cube_binary64_2501
cbrt-div_binary64_2497 div-inv_binary64_2462 pow-prod-down_binary64_2536
*-commutative_binary64_2396 associate-*r/_binary64_2407 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
Counts
3 → 74
Calls

3 calls:

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

series276.0ms (7.8%)

Counts
3 → 9
Calls

3 calls:

97.0ms
(cbrt.f64 (/.f64 1/2 a))
90.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
89.0ms
(cbrt.f64 g)

simplify92.0ms (2.6%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
049381089
149381089

prune96.0ms (2.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New701383
Fresh347
Picked101
Done101
Total751792
Error
0.0b
Counts
92 → 17
Compiler

Compiled 1279 to 869 computations (32.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 (/.f64 1 a)))
0.4b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
0.5b
(cbrt.f64 g)
0.6b
(cbrt.f64 (/.f64 1 a))

rewrite26.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod_binary64_2496
32×add-sqr-sqrt_binary64_2487
24×*-un-lft-identity_binary64_2465 add-cube-cbrt_binary64_2500
22×associate-*r*_binary64_2405
18×times-frac_binary64_2471
11×add-exp-log_binary64_2503 pow1_binary64_2526
pow1/3_binary64_2547 pow-prod-down_binary64_2536 associate-*l*_binary64_2406
add-cbrt-cube_binary64_2501
add-log-exp_binary64_2504 unswap-sqr_binary64_2433 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
*-commutative_binary64_2396 cbrt-div_binary64_2497 div-inv_binary64_2462
associate-*r/_binary64_2407
Counts
4 → 94
Calls

4 calls:

10.0ms
(*.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 (/.f64 1 a)))
6.0ms
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
2.0ms
(cbrt.f64 (/.f64 1 a))
1.0ms
(cbrt.f64 g)

series369.0ms (10.4%)

Counts
4 → 12
Calls

4 calls:

98.0ms
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
98.0ms
(*.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 (/.f64 1 a)))
87.0ms
(cbrt.f64 g)
86.0ms
(cbrt.f64 (/.f64 1 a))

simplify82.0ms (2.3%)

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049231232
149231232

prune109.0ms (3.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1051106
Fresh11516
Picked011
Done000
Total10617123
Error
0.0b
Counts
123 → 17
Compiler

Compiled 1711 to 1233 computations (27.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.5b
(cbrt.f64 g)
0.6b
(cbrt.f64 (*.f64 2 a))

rewrite12.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod_binary64_2496
24×times-frac_binary64_2471
21×*-un-lft-identity_binary64_2465 add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487
associate-/l*_binary64_2410
add-exp-log_binary64_2503
associate-/r*_binary64_2409
add-log-exp_binary64_2504 add-cbrt-cube_binary64_2501 pow1_binary64_2526
pow1/3_binary64_2547
clear-num_binary64_2464 cbrt-undiv_binary64_2499 div-exp_binary64_2516 div-inv_binary64_2462 frac-2neg_binary64_2476
Counts
3 → 66
Calls

3 calls:

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

series274.0ms (7.7%)

Counts
3 → 9
Calls

3 calls:

106.0ms
(cbrt.f64 (*.f64 2 a))
90.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
77.0ms
(cbrt.f64 g)

simplify57.0ms (1.6%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050171128

prune59.0ms (1.7%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New73275
Fresh21315
Picked011
Done011
Total751792
Error
0.0b
Counts
92 → 17
Compiler

Compiled 946 to 579 computations (38.8% saved)

regimes477.0ms (13.5%)

Accuracy

Total 0.8b remaining (98.4%)

Threshold costs 0.8b (98.4%)

Compiler

Compiled 3974 to 3512 computations (11.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01314
11314

end0.0ms (0%)

sample1.3s (35.4%)

Algorithm
intervals
Results
231.0ms8000×body128valid
Compiler

Compiled 742 to 658 computations (11.3% saved)

Profiling

Loading profile data...