Details

Time bar (total: 5.5s)

analyze124.0ms (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
Symmetry
Compiler

Compiled 7 to 7 computations (0% saved)

sample15.0ms (0.3%)

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
15.2b
Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 g (*.f64 2 a))
14.6b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite49.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
7×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 cbrt-prod_binary64_2496
6×add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487 times-frac_binary64_2471 *-un-lft-identity_binary64_2465
3×associate-/l*_binary64_2410
2×pow1_binary64_2526 add-log-exp_binary64_2504 div-inv_binary64_2462 div-exp_binary64_2516 cbrt-undiv_binary64_2499
1×pow1/3_binary64_2547 cbrt-div_binary64_2497 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 frac-2neg_binary64_2476 clear-num_binary64_2464 associate-/r*_binary64_2409
Counts
2 → 37
Calls

2 calls:

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

Compiled 429 to 291 computations (32.2% saved)

series290.0ms (5.2%)

Error
5.3b
Counts
2 → 12
Calls

2 calls:

220.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
60.0ms
(/.f64 g (*.f64 2 a))
Compiler

Compiled 348 to 318 computations (8.6% saved)

simplify98.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
05039504

prune50.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New391049
Fresh000
Picked101
Done000
Total401050
Error
0.1b
Counts
50 → 10
Compiler

Compiled 553 to 374 computations (32.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite94.0ms (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:

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)
Compiler

Compiled 1018 to 641 computations (37% saved)

series404.0ms (7.3%)

Error
0.1b
Counts
3 → 12
Calls

3 calls:

235.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
86.0ms
(cbrt.f64 (/.f64 1/2 a))
73.0ms
(cbrt.f64 g)
Compiler

Compiled 435 to 408 computations (6.2% saved)

simplify65.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051851121

prune89.0ms (1.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New761086
Fresh549
Picked011
Done000
Total811596
Error
0.0b
Counts
96 → 15
Compiler

Compiled 1253 to 837 computations (33.2% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite78.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
22×cbrt-prod_binary64_2496 add-sqr-sqrt_binary64_2487
14×add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465
11×add-exp-log_binary64_2503
6×pow1_binary64_2526 associate-*l*_binary64_2406 associate-*r*_binary64_2405 times-frac_binary64_2471 associate-/r*_binary64_2409
5×add-cbrt-cube_binary64_2501
4×pow1/3_binary64_2547 add-log-exp_binary64_2504 unswap-sqr_binary64_2433
2×pow-prod-down_binary64_2536 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 div-exp_binary64_2516 cbrt-undiv_binary64_2499
1×*-commutative_binary64_2396 frac-2neg_binary64_2476 clear-num_binary64_2464 div-inv_binary64_2462 associate-/l*_binary64_2410
Counts
4 → 77
Calls

4 calls:

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

Compiled 1006 to 542 computations (46.1% saved)

series505.0ms (9.1%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

242.0ms
(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
99.0ms
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
82.0ms
(cbrt.f64 g)
72.0ms
(cbrt.f64 a)
Compiler

Compiled 546 to 508 computations (7% saved)

simplify61.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049561023
149561023

prune79.0ms (1.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New88492
Fresh6713
Picked011
Done011
Total9413107
Error
0.0b
Counts
107 → 13
Compiler

Compiled 1211 to 723 computations (40.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite67.0ms (1.2%)

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-/r*_binary64_2409
5×add-exp-log_binary64_2503
4×associate-/l*_binary64_2410
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:

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

Compiled 932 to 554 computations (40.6% saved)

series401.0ms (7.2%)

Error
0.0b
Counts
3 → 12
Calls

3 calls:

229.0ms
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
82.0ms
(cbrt.f64 (*.f64 g 1/2))
81.0ms
(cbrt.f64 a)
Compiler

Compiled 423 to 396 computations (6.4% saved)

simplify60.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050171166

prune60.0ms (1.1%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New74478
Fresh2810
Picked011
Done022
Total761591
Error
0.0b
Counts
91 → 15
Compiler

Compiled 969 to 594 computations (38.7% saved)

regimes846.0ms (15.3%)

Accuracy

Total 0.8b remaining (98.4%)

Threshold costs 0.8b (98.4%)

Compiler

Compiled 7238 to 6427 computations (11.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
1911
Removed

()

end0.0ms (0%)

sample2.1s (37.4%)

Algorithm
1×intervals
Results
222.0ms8000×body128valid
Compiler

Compiled 1368 to 1217 computations (11% saved)

Profiling

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