Details

Time bar (total: 6.3s)

analyze140.0ms (2.2%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02018
12018
022
122
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)

sample16.0ms (0.2%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0129
1129

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
14.0b
Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite28.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
7×cbrt-prod_binary64_2496
3×add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487 times-frac_binary64_2471 *-un-lft-identity_binary64_2465
1×pow1/3_binary64_2547 pow1_binary64_2526 add-log-exp_binary64_2504 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 cbrt-div_binary64_2497 div-inv_binary64_2462
Counts
1 → 16
Calls

1 calls:

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

Compiled 194 to 140 computations (27.8% saved)

series274.0ms (4.4%)

Error
5.4b
Counts
1 → 6
Calls

1 calls:

268.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 240 to 227 computations (5.4% saved)

simplify112.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
04788281
14788281

prune28.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New15722
Fresh000
Picked011
Done000
Total15823
Error
0.2b
Counts
23 → 8
Compiler

Compiled 308 to 225 computations (26.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite82.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
26×cbrt-prod_binary64_2496
24×times-frac_binary64_2471
21×add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487 *-un-lft-identity_binary64_2465
6×associate-/l*_binary64_2410
5×add-exp-log_binary64_2503
4×associate-/r*_binary64_2409
3×pow1_binary64_2526 add-log-exp_binary64_2504 add-cbrt-cube_binary64_2501
2×pow1/3_binary64_2547
1×div-exp_binary64_2516 cbrt-undiv_binary64_2499 frac-2neg_binary64_2476 clear-num_binary64_2464 div-inv_binary64_2462
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 932 to 554 computations (40.6% saved)

series511.0ms (8.1%)

Error
0.2b
Counts
3 → 12
Calls

3 calls:

306.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
102.0ms
(cbrt.f64 (*.f64 a 2))
93.0ms
(cbrt.f64 g)
Compiler

Compiled 423 to 396 computations (6.4% saved)

simplify100.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
049451160
149451160

prune103.0ms (1.6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New651378
Fresh246
Picked011
Done011
Total671986
Error
0.0b
Counts
86 → 19
Compiler

Compiled 1213 to 790 computations (34.9% saved)

localize7.0ms (0.1%)

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)

rewrite106.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
39×cbrt-prod_binary64_2496
35×add-sqr-sqrt_binary64_2487
21×add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465
20×times-frac_binary64_2471
16×associate-*r*_binary64_2405
6×unswap-sqr_binary64_2433 associate-*l*_binary64_2406
5×pow1_binary64_2526 add-exp-log_binary64_2503
4×pow1/3_binary64_2547
3×add-log-exp_binary64_2504 add-cbrt-cube_binary64_2501
2×cbrt-div_binary64_2497 div-inv_binary64_2462 pow-prod-down_binary64_2536
1×prod-exp_binary64_2514 cbrt-unprod_binary64_2498 associate-*r/_binary64_2407 *-commutative_binary64_2396
Counts
3 → 74
Calls

3 calls:

12.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
4.0ms
(cbrt.f64 (/.f64 1/2 a))
2.0ms
(cbrt.f64 g)
Compiler

Compiled 1018 to 641 computations (37% saved)

series492.0ms (7.8%)

Error
0.0b
Counts
3 → 12
Calls

3 calls:

281.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
105.0ms
(cbrt.f64 (/.f64 1/2 a))
97.0ms
(cbrt.f64 g)
Compiler

Compiled 435 to 408 computations (6.2% saved)

simplify97.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
051851121

prune103.0ms (1.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New82486
Fresh51116
Picked011
Done112
Total8817105
Error
0.0b
Counts
105 → 17
Compiler

Compiled 1267 to 839 computations (33.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite177.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
51×cbrt-prod_binary64_2496
34×add-sqr-sqrt_binary64_2487
26×add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465
18×times-frac_binary64_2471
11×pow1_binary64_2526
9×pow1/3_binary64_2547
6×add-exp-log_binary64_2503 swap-sqr_binary64_2432 associate-*l*_binary64_2406 associate-*r*_binary64_2405
4×add-log-exp_binary64_2504 add-cbrt-cube_binary64_2501 unswap-sqr_binary64_2433
2×pow-prod-down_binary64_2536 pow-prod-up_binary64_2535 pow-sqr_binary64_2438
1×pow2_binary64_2546 pow-plus_binary64_2528 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 *-commutative_binary64_2396 cbrt-div_binary64_2497 div-inv_binary64_2462
Counts
4 → 91
Calls

4 calls:

9.0ms
(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
4.0ms
(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
3.0ms
(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 1946 to 1596 computations (18% saved)

series267.0ms (4.3%)

Error
0.0b
Counts
4 → 6
Calls

4 calls:

143.0ms
(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
110.0ms
(cbrt.f64 g)
0.0ms
(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
0.0ms
(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
Compiler

Compiled 351 to 339 computations (3.4% saved)

simplify155.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (128.0ms)

IterNodesCost
05032977

prune120.0ms (1.9%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New96197
Fresh11314
Picked011
Done022
Total9717114
Error
0.0b
Counts
114 → 17
Compiler

Compiled 1810 to 1468 computations (18.9% saved)

regimes972.0ms (15.5%)

Accuracy

Total 0.8b remaining (99%)

Threshold costs 0.8b (99%)

Compiler

Compiled 6734 to 5902 computations (12.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
1911

end0.0ms (0%)

sample2.3s (37.3%)

Algorithm
1×intervals
Results
281.0ms8000×body128valid
Compiler

Compiled 1284 to 1126 computations (12.3% saved)

Profiling

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