Details

Time bar (total: 43.0s)

analyze2.2s (5.1%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04978140
14978140
033
133
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
1.6%98.3%0.1%8
2.3%97.5%0.1%9
7.4%90.9%1.7%10
9.2%87.4%3.5%11
11.7%83.5%4.8%12
15.2%76%8.8%13
16.4%72%11.6%14
Compiler

Compiled 26 to 22 computations (15.4% saved)

sample98.0ms (0.2%)

Algorithm
1×intervals
Results
35.0ms71×body1024valid
15.0ms123×body128valid
14.0ms38×body512valid
6.0ms24×body256valid
6.0ms50×body128invalid
2.0ms5×body1024invalid
2.0ms6×body512invalid
1.0ms4×body256invalid
Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify57.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0493135
1493135

prune11.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
34.6b
Counts
2 → 1
Compiler

Compiled 46 to 38 computations (17.4% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

3.0b
(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
3.8b
(*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k))
12.6b
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
19.4b
(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite372.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Error
19.4b
Rules
108×add-exp-log_binary64_457
58×prod-exp_binary64_468
52×add-cbrt-cube_binary64_455
28×times-frac_binary64_425
26×cbrt-unprod_binary64_452 add-sqr-sqrt_binary64_441
24×div-exp_binary64_470
20×pow1_binary64_480
19×*-un-lft-identity_binary64_419
18×associate-*l*_binary64_360
17×add-cube-cbrt_binary64_454
16×associate-*l/_binary64_362
12×associate-/l*_binary64_364
10×unpow-prod-down_binary64_498 cube-prod_binary64_447 pow-prod-down_binary64_490 frac-times_binary64_429 associate-*r*_binary64_359
8×pow-to-exp_binary64_488 pow-exp_binary64_487 cbrt-undiv_binary64_453 tan-quot_binary64_578
6×associate-*r/_binary64_361
5×unswap-sqr_binary64_387
4×add-log-exp_binary64_458 sqr-pow_binary64_391 flip3-+_binary64_422 flip-+_binary64_393
3×unpow3_binary64_485 cube-mult_binary64_449 *-commutative_binary64_350
2×div-inv_binary64_416
1×frac-2neg_binary64_430 clear-num_binary64_418 associate-/r*_binary64_363 distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368 distribute-lft-out_binary64_370
Counts
4 → 159
Calls

4 calls:

22.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
12.0ms
(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
11.0ms
(*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k))
7.0ms
(/.f64 (pow.f64 t 3) (*.f64 l l))
Compiler

Compiled 5186 to 2726 computations (47.4% saved)

series3.2s (7.4%)

Error
23.7b
Counts
4 → 45
Calls

4 calls:

1.4s
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
1.1s
(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
468.0ms
(*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k))
147.0ms
(/.f64 (pow.f64 t 3) (*.f64 l l))
Compiler

Compiled 3527 to 2776 computations (21.3% saved)

simplify149.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
051574767

prune576.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1986204
Fresh000
Picked101
Done000
Total1996205
Error
13.1b
Counts
205 → 6
Compiler

Compiled 5893 to 3184 computations (46% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.0b
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
4.3b
(*.f64 (sin.f64 k) (/.f64 t l))
7.5b
(/.f64 (*.f64 t t) l)
12.6b
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite344.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Error
8.2b
Rules
120×add-exp-log_binary64_457 add-cbrt-cube_binary64_455
70×prod-exp_binary64_468 cbrt-unprod_binary64_452
34×frac-times_binary64_429
31×associate-*r/_binary64_361
29×pow1_binary64_480
27×associate-*l/_binary64_362
21×div-exp_binary64_470 cbrt-undiv_binary64_453 add-sqr-sqrt_binary64_441
20×associate-*r*_binary64_359
18×*-un-lft-identity_binary64_419
17×pow-prod-down_binary64_490
16×add-cube-cbrt_binary64_454 tan-quot_binary64_578
13×times-frac_binary64_425
8×flip3-+_binary64_422 flip-+_binary64_393
5×associate-*l*_binary64_360
4×add-log-exp_binary64_458
3×*-commutative_binary64_350 associate-/r*_binary64_363
2×div-inv_binary64_416 unswap-sqr_binary64_387
1×distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368 distribute-lft-out_binary64_370 frac-2neg_binary64_430 clear-num_binary64_418 associate-/l*_binary64_364
Counts
4 → 159
Calls

4 calls:

27.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
15.0ms
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
8.0ms
(*.f64 (sin.f64 k) (/.f64 t l))
5.0ms
(/.f64 (*.f64 t t) l)
Compiler

Compiled 6030 to 1992 computations (67% saved)

series3.6s (8.5%)

Error
13.1b
Counts
4 → 45
Calls

4 calls:

1.8s
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
1.1s
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
407.0ms
(*.f64 (sin.f64 k) (/.f64 t l))
167.0ms
(/.f64 (*.f64 t t) l)
Compiler

Compiled 3589 to 2647 computations (26.2% saved)

simplify198.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
049825057
149825057

prune570.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1959204
Fresh415
Picked101
Done000
Total20010210
Error
9.0b
Counts
210 → 10
Compiler

Compiled 6133 to 3019 computations (50.8% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.6b
(*.f64 (*.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
3.0b
(*.f64 (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
4.3b
(*.f64 (sin.f64 k) (/.f64 t l))
12.6b
(*.f64 (*.f64 (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite671.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Error
6.6b
Rules
151×add-exp-log_binary64_457 add-cbrt-cube_binary64_455
96×prod-exp_binary64_468 cbrt-unprod_binary64_452
61×pow1_binary64_480
52×associate-*r/_binary64_361
41×pow-prod-down_binary64_490
35×frac-times_binary64_429
28×associate-*l/_binary64_362
21×associate-*r*_binary64_359
19×div-exp_binary64_470 cbrt-undiv_binary64_453 add-sqr-sqrt_binary64_441
16×tan-quot_binary64_578 *-un-lft-identity_binary64_419
14×add-cube-cbrt_binary64_454
10×times-frac_binary64_425
8×flip3-+_binary64_422 flip-+_binary64_393
6×associate-*l*_binary64_360
4×add-log-exp_binary64_458 *-commutative_binary64_350
2×unswap-sqr_binary64_387
1×distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368 distribute-lft-out_binary64_370 div-inv_binary64_416
Counts
4 → 177
Calls

4 calls:

58.0ms
(*.f64 (*.f64 (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
28.0ms
(*.f64 (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
22.0ms
(*.f64 (*.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
14.0ms
(*.f64 (sin.f64 k) (/.f64 t l))
Compiler

Compiled 6754 to 2120 computations (68.6% saved)

series3.3s (7.8%)

Error
9.0b
Counts
4 → 50
Calls

4 calls:

1.3s
(*.f64 (*.f64 (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
1.0s
(*.f64 (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
575.0ms
(*.f64 (*.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
267.0ms
(*.f64 (sin.f64 k) (/.f64 t l))
Compiler

Compiled 3971 to 2982 computations (24.9% saved)

simplify219.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
049525850
149525850

prune676.0ms (1.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New2216227
Fresh189
Picked101
Done000
Total22314237
Error
6.8b
Counts
237 → 14
Compiler

Compiled 6890 to 3491 computations (49.3% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
1.1b
(/.f64 (*.f64 t (sin.f64 k)) l)
3.0b
(*.f64 (*.f64 (*.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k))
12.6b
(*.f64 (*.f64 (*.f64 (*.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite801.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Error
5.3b
Rules
169×add-exp-log_binary64_457 add-cbrt-cube_binary64_455
96×prod-exp_binary64_468 cbrt-unprod_binary64_452
63×frac-times_binary64_429
53×associate-*r/_binary64_361
49×associate-*l/_binary64_362
37×div-exp_binary64_470 cbrt-undiv_binary64_453
28×tan-quot_binary64_578
27×pow1_binary64_480
23×associate-/r/_binary64_365
16×pow-prod-down_binary64_490 flip3-+_binary64_422 flip-+_binary64_393
12×*-un-lft-identity_binary64_419
10×add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441
7×associate-*r*_binary64_359
6×times-frac_binary64_425
4×add-log-exp_binary64_458 associate-/l*_binary64_364 associate-/r*_binary64_363
2×associate-*l*_binary64_360 *-commutative_binary64_350 frac-2neg_binary64_430 clear-num_binary64_418 div-inv_binary64_416
1×distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368 distribute-lft-out_binary64_370
Counts
4 → 185
Calls

4 calls:

56.0ms
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
53.0ms
(*.f64 (*.f64 (*.f64 (*.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
28.0ms
(*.f64 (*.f64 (*.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k))
9.0ms
(/.f64 (*.f64 t (sin.f64 k)) l)
Compiler

Compiled 7590 to 2568 computations (66.2% saved)

series3.5s (8.1%)

Error
6.7b
Counts
4 → 53
Calls

4 calls:

1.4s
(*.f64 (*.f64 (*.f64 (*.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
1.0s
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
702.0ms
(*.f64 (*.f64 (*.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k))
255.0ms
(/.f64 (*.f64 t (sin.f64 k)) l)
Compiler

Compiled 4258 to 3189 computations (25.1% saved)

simplify123.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049367343
149367343

prune379.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New2317238
Fresh6713
Picked101
Done000
Total23814252
Error
5.6b
Counts
252 → 14
Compiler

Compiled 6944 to 3748 computations (46% saved)

regimes6.5s (15.1%)

Accuracy

Total 2.8b remaining (27.1%)

Threshold costs 0b (0%)

Compiler

Compiled 41347 to 30079 computations (27.3% saved)

bsearch199.0ms (0.5%)

Steps
ItersRangePoint
9
2.0186961370231662e-73
1.4142616391514823e-68
1.3637525120491727e-69
10
-2.5433141493466804e-12
-7.928410782610388e-30
-1.6263580110031235e-27
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05295
15295

end0.0ms (0%)

sample15.1s (35.1%)

Algorithm
1×intervals
Results
2.2s2684×body1024valid
726.0ms1251×body512valid
693.0ms3491×body128valid
299.0ms1482×body128invalid
234.0ms563×body256valid
84.0ms143×body512invalid
47.0ms61×body1024invalid
42.0ms106×body256invalid
13.0ms11×body2048valid
Compiler

Compiled 6716 to 4881 computations (27.3% saved)

Profiling

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