Details

Time bar (total: 23.7s)

analyze2.1s (8.9%)

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
Symmetry
Compiler

Compiled 26 to 22 computations (15.4% saved)

sample106.0ms (0.4%)

Algorithm
1×intervals
Results
45.0ms84×body1024valid
16.0ms46×body512valid
14.0ms109×body128valid
5.0ms44×body128invalid
4.0ms17×body256valid
2.0ms6×body512invalid
1.0ms6×body256invalid
1.0ms2×body1024invalid
Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify59.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
0493135
1493135

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
33.3b
Counts
2 → 1
Compiler

Compiled 46 to 38 computations (17.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.5b
(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
4.1b
(*.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)))
18.6b
(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite340.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Error
20.3b
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:

23.0ms
(*.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)))
16.0ms
(*.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)

series1.6s (6.8%)

Error
20.7b
Counts
4 → 40
Calls

4 calls:

820.0ms
(*.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)))
407.0ms
(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
229.0ms
(*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k))
107.0ms
(/.f64 (pow.f64 t 3) (*.f64 l l))
Compiler

Compiled 2970 to 2339 computations (21.2% saved)

simplify95.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
051164390

prune290.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New18811199
Fresh000
Picked101
Done000
Total18911200
Error
14.1b
Counts
200 → 11
Compiler

Compiled 5734 to 3118 computations (45.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.5b
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
3.8b
(*.f64 (sin.f64 k) (/.f64 t l))
11.5b
(/.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)))

rewrite300.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Error
8.1b
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:

30.0ms
(*.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)))
14.0ms
(*.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)

series1.5s (6.3%)

Error
14.1b
Counts
4 → 40
Calls

4 calls:

806.0ms
(*.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)))
424.0ms
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
159.0ms
(*.f64 (sin.f64 k) (/.f64 t l))
69.0ms
(/.f64 (*.f64 t t) l)
Compiler

Compiled 3048 to 2236 computations (26.6% saved)

simplify100.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049964698
149964698

prune269.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1918199
Fresh7310
Picked101
Done000
Total19911210
Error
8.8b
Counts
210 → 11
Compiler

Compiled 5897 to 2880 computations (51.2% saved)

localize16.0ms (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)))
2.5b
(*.f64 (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
3.8b
(*.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)))

rewrite320.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Error
6.9b
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:

28.0ms
(*.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)))
16.0ms
(*.f64 (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
11.0ms
(*.f64 (*.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
8.0ms
(*.f64 (sin.f64 k) (/.f64 t l))
Compiler

Compiled 6754 to 2120 computations (68.6% saved)

series1.7s (7.1%)

Error
8.8b
Counts
4 → 44
Calls

4 calls:

826.0ms
(*.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)))
424.0ms
(*.f64 (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
233.0ms
(*.f64 (*.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
147.0ms
(*.f64 (sin.f64 k) (/.f64 t l))
Compiler

Compiled 3316 to 2483 computations (25.1% saved)

simplify99.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049585436
149585436

prune303.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New2165221
Fresh3710
Picked101
Done000
Total22012232
Error
7.1b
Counts
232 → 12
Compiler

Compiled 6512 to 3262 computations (49.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(/.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))))
0.7b
(/.f64 (*.f64 t (sin.f64 k)) l)
2.5b
(*.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)))

rewrite379.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Error
5.9b
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:

31.0ms
(/.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))))
27.0ms
(*.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)))
14.0ms
(*.f64 (*.f64 (*.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k))
5.0ms
(/.f64 (*.f64 t (sin.f64 k)) l)
Compiler

Compiled 7590 to 2568 computations (66.2% saved)

series2.2s (9.1%)

Error
7.1b
Counts
4 → 50
Calls

4 calls:

820.0ms
(*.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)))
705.0ms
(/.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))))
424.0ms
(*.f64 (*.f64 (*.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k))
158.0ms
(/.f64 (*.f64 t (sin.f64 k)) l)
Compiler

Compiled 3953 to 2945 computations (25.5% saved)

simplify136.0ms (0.6%)

Algorithm
1×egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049827083
149827083

prune347.0ms (1.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New2269235
Fresh4711
Picked101
Done000
Total23116247
Error
6.1b
Counts
247 → 16
Compiler

Compiled 6724 to 3607 computations (46.4% saved)

regimes3.5s (14.7%)

Accuracy

Total 2.8b remaining (27.6%)

Threshold costs 0b (0%)

Compiler

Compiled 36962 to 27342 computations (26% saved)

bsearch186.0ms (0.8%)

Steps
ItersRangePoint
9
3.2728468945127183e-68
4.306119435790582e-60
9.984633542218682e-64
10
-2.4555804969571914e-07
-5.842774537833454e-18
-2.2680491459631155e-17
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05295
15295
Removed

()

end0.0ms (0%)

sample7.8s (32.7%)

Algorithm
1×intervals
Results
1.4s2725×body1024valid
446.0ms3495×body128valid
436.0ms1205×body512valid
170.0ms1416×body128invalid
146.0ms571×body256valid
44.0ms124×body512invalid
31.0ms64×body1024invalid
25.0ms102×body256invalid
3.0ms4×body2048valid
Compiler

Compiled 5933 to 4384 computations (26.1% saved)

Profiling

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