Details

Time bar (total: 7.8s)

analyze607.0ms (7.8%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043154
143154
044
144
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
6.2%93.6%0.2%8
25%74.9%0.2%9
28.1%71.7%0.2%10
29.6%70.2%0.2%11
53%46.8%0.2%12
71.3%28.5%0.2%13
71.7%28.1%0.2%14
Compiler

Compiled 16 to 12 computations (25% saved)

sample23.0ms (0.3%)

Algorithm
intervals
Results
10.0ms256×body128valid
0.0ms12×body128invalid
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01622
11622

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
27.3b
Counts
2 → 1
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(+.f64 (*.f64 a c) (*.f64 b d))
26.8b
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))

rewrite68.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
27.1b
Rules
10×add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487 *-un-lft-identity_binary64_2465
times-frac_binary64_2471
add-exp-log_binary64_2503 add-log-exp_binary64_2504 add-cbrt-cube_binary64_2501
flip3-+_binary64_2468 flip-+_binary64_2439 associate-/l*_binary64_2410 associate-/r*_binary64_2409
pow1_binary64_2526 associate-/l/_binary64_2412 associate-/r/_binary64_2411
div-exp_binary64_2516 cbrt-undiv_binary64_2499 frac-2neg_binary64_2476 clear-num_binary64_2464 div-inv_binary64_2462 sum-log_binary64_2556 +-commutative_binary64_2395
Counts
2 → 42
Calls

2 calls:

9.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
4.0ms
(+.f64 (*.f64 a c) (*.f64 b d))
Compiler

Compiled 1203 to 160 computations (86.7% saved)

series458.0ms (5.9%)

Error
4.6b
Counts
2 → 48
Calls

2 calls:

287.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
137.0ms
(+.f64 (*.f64 a c) (*.f64 b d))
Compiler

Compiled 1644 to 1011 computations (38.5% saved)

simplify48.0ms (0.6%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
051271791

prune71.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New82890
Fresh000
Picked101
Done000
Total83891
Error
4.6b
Counts
91 → 8
Compiler

Compiled 1880 to 251 computations (86.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(+.f64 (*.f64 d b) (*.f64 c a))
16.4b
(/.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d))))
30.7b
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))
30.7b
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))

rewrite113.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
4.6b
Rules
23×add-sqr-sqrt_binary64_2487
21×add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465
18×sqrt-prod_binary64_2481 times-frac_binary64_2471
pow1_binary64_2526 add-log-exp_binary64_2504 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 sqrt-div_binary64_2482 associate-/r*_binary64_2409
flip3-+_binary64_2468 flip-+_binary64_2439
associate-/l*_binary64_2410
pow1/2_binary64_2545 sqrt-pow1_binary64_2483 rem-sqrt-square_binary64_2478 associate-/l/_binary64_2412 associate-/r/_binary64_2411
div-exp_binary64_2516 cbrt-undiv_binary64_2499 frac-2neg_binary64_2476 clear-num_binary64_2464 div-inv_binary64_2462 sum-log_binary64_2556 +-commutative_binary64_2395
Counts
4 → 84
Calls

4 calls:

10.0ms
(/.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d))))
4.0ms
(+.f64 (*.f64 d b) (*.f64 c a))
4.0ms
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 3211 to 343 computations (89.3% saved)

series905.0ms (11.7%)

Error
4.6b
Counts
4 → 91
Calls

4 calls:

416.0ms
(/.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d))))
146.0ms
(+.f64 (*.f64 d b) (*.f64 c a))
133.0ms
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))
131.0ms
(sqrt.f64 (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 5800 to 3093 computations (46.7% saved)

simplify55.0ms (0.7%)

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050053540

prune154.0ms (2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1723175
Fresh257
Picked011
Done000
Total1749183
Error
4.6b
Counts
183 → 9
Compiler

Compiled 5251 to 751 computations (85.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

16.2b
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a))) (cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a)))) (/.f64 (cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a))) (+.f64 (*.f64 c c) (*.f64 d d))))
16.9b
(cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a)))
16.9b
(cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a)))
16.9b
(cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a)))

rewrite163.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
4.6b
Rules
30×cbrt-div_binary64_2497
25×add-sqr-sqrt_binary64_2487
24×associate-*r*_binary64_2405
20×add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465 times-frac_binary64_2471
19×cbrt-prod_binary64_2496
16×add-exp-log_binary64_2503 flip3-+_binary64_2468 flip-+_binary64_2439 frac-times_binary64_2475
12×associate-*l/_binary64_2408
10×add-cbrt-cube_binary64_2501
pow1_binary64_2526
prod-exp_binary64_2514 cbrt-unprod_binary64_2498
associate-*r/_binary64_2407
add-log-exp_binary64_2504
pow1/3_binary64_2547 pow-prod-down_binary64_2536 unswap-sqr_binary64_2433
div-exp_binary64_2516 cbrt-undiv_binary64_2499 associate-/r/_binary64_2411
associate-*l*_binary64_2406 div-inv_binary64_2462 *-commutative_binary64_2396
Counts
4 → 102
Calls

4 calls:

24.0ms
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a))) (cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a)))) (/.f64 (cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a))) (+.f64 (*.f64 c c) (*.f64 d d))))
4.0ms
(cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a)))
4.0ms
(cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a)))
3.0ms
(cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a)))
Compiler

Compiled 5374 to 465 computations (91.3% saved)

series1.3s (16.6%)

Error
4.6b
Counts
4 → 90
Calls

4 calls:

305.0ms
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a))) (cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a)))) (/.f64 (cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a))) (+.f64 (*.f64 c c) (*.f64 d d))))
303.0ms
(cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a)))
292.0ms
(cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a)))
284.0ms
(cbrt.f64 (+.f64 (*.f64 d b) (*.f64 c a)))
Compiler

Compiled 9528 to 5179 computations (45.6% saved)

simplify97.0ms (1.3%)

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
050386173

prune207.0ms (2.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1920192
Fresh077
Picked011
Done011
Total1929201
Error
4.6b
Counts
201 → 9
Compiler

Compiled 7729 to 1213 computations (84.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.0b
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (*.f64 d d)))
10.9b
(/.f64 (*.f64 c a) (*.f64 d d))

rewrite45.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
2.5b
Rules
14×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
prod-exp_binary64_2514 div-exp_binary64_2516 add-log-exp_binary64_2504 cbrt-undiv_binary64_2499 cbrt-unprod_binary64_2498 *-un-lft-identity_binary64_2465
pow1_binary64_2526 add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487
frac-2neg_binary64_2476 times-frac_binary64_2471 clear-num_binary64_2464 div-inv_binary64_2462 associate-/l*_binary64_2410 associate-/r*_binary64_2409 sum-log_binary64_2556 frac-add_binary64_2473 flip3-+_binary64_2468 flip-+_binary64_2439 distribute-lft-out_binary64_2416 +-commutative_binary64_2395
Counts
2 → 34
Calls

2 calls:

9.0ms
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (*.f64 d d)))
6.0ms
(/.f64 (*.f64 c a) (*.f64 d d))
Compiler

Compiled 667 to 136 computations (79.6% saved)

series419.0ms (5.4%)

Error
4.6b
Counts
2 → 33
Calls

2 calls:

267.0ms
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (*.f64 d d)))
137.0ms
(/.f64 (*.f64 c a) (*.f64 d d))
Compiler

Compiled 813 to 606 computations (25.5% saved)

simplify48.0ms (0.6%)

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05043920

prune39.0ms (0.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New62567
Fresh336
Picked101
Done022
Total661076
Error
2.5b
Counts
76 → 10
Compiler

Compiled 841 to 116 computations (86.2% saved)

regimes1.1s (14.7%)

Accuracy

Total 11.4b remaining (81.2%)

Threshold costs 0b (0%)

Compiler

Compiled 7019 to 3918 computations (44.2% saved)

bsearch85.0ms (1.1%)

Steps
ItersRangePoint
8
4.397510636821663e+149
1.2357206110206288e+153
5.432070693749626e+150
10
1.846906893081593e-102
7.286925777487355e-92
6.804720350973145e-102
8
-9.875003844757641e-73
-9.98984119967253e-76
-3.3074150949511177e-75
6
-2.5915952554035498e+151
-6.0786910705304305e+150
-2.2659509608517973e+151
Compiler

Compiled 1 to 4 computations (-300% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
039124
139124

end0.0ms (0%)

sample1.7s (21.5%)

Algorithm
intervals
Results
332.0ms8000×body128valid
17.0ms436×body128invalid
Compiler

Compiled 1496 to 825 computations (44.9% saved)

Profiling

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