Details

analyze2.6s (8.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5080	128
0	3	3
1	3	3

Search

True	Other	False	Iter
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
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.5%	0.5%	11
0%	99.1%	0.9%	12
0.4%	97.3%	2.3%	13
0.7%	95.8%	3.5%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample403.0ms (1.3%)

Algorithm

1×

intervals

Results

119.0ms	40×	body	4096	invalid
80.0ms	26×	body	2048	invalid
77.0ms	138×	body	1024	valid
31.0ms	16×	body	4096	valid
27.0ms	30×	body	2048	valid
17.0ms	45×	body	512	valid
11.0ms	22×	body	1024	invalid
5.0ms	13×	body	512	invalid
4.0ms	34×	body	128	invalid
3.0ms	13×	body	256	invalid
2.0ms	19×	body	128	valid
2.0ms	8×	body	256	valid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5185	32

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

42.1b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
0.8b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
15.6b	(/.f64 (pow.f64 t 3) (*.f64 l l))
31.3b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite478.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

26.9b

Rules

396×	`add-exp-log_binary64_457`
229×	`prod-exp_binary64_468`
115×	`div-exp_binary64_470`
65×	`add-cbrt-cube_binary64_455`
56×	`pow-exp_binary64_487`
40×	`times-frac_binary64_425`
38×	`pow-to-exp_binary64_488`
34×	`add-sqr-sqrt_binary64_441`
31×	`cbrt-unprod_binary64_452`
25×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
23×	`unpow-prod-down_binary64_498`
21×	`associate-r_binary64_359`
17×	`associate-l_binary64_360`
15×	`associate-/l*_binary64_364`
14×	`cbrt-undiv_binary64_453`
13×	`associate-*l/_binary64_362`
10×	`cube-prod_binary64_447`
6×	`pow1_binary64_480`
5×	`sqr-pow_binary64_391` `unswap-sqr_binary64_387`
4×	`add-log-exp_binary64_458` `tan-quot_binary64_578` `div-inv_binary64_416`
3×	`unpow3_binary64_485` `cube-mult_binary64_449` `associate-/r/_binary64_365`
2×	`frac-times_binary64_429` `associate-r/_binary64_361` `-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r*_binary64_363`
1×	`unpow2_binary64_484` `pow-prod-down_binary64_490`

Counts

4 → 221

Calls

4 calls:

25.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
21.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
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 6627 to 3199 computations (51.7% saved)

series1.6s (5.1%)

Error

25.5b

Counts

4 → 39

Calls

4 calls:

682.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
483.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
233.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
107.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2316 to 1828 computations (21.1% saved)

simplify114.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5206	6488

prune350.0ms (1.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	246	14	260
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	247	14	261

Error

19.5b

Counts

261 → 14

Compiler

Compiled 6698 to 3418 computations (49% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
1.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
7.9b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
21.6b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite214.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

12.1b

Rules

163×	`add-exp-log_binary64_457`
102×	`prod-exp_binary64_468`
87×	`add-cbrt-cube_binary64_455`
48×	`cbrt-unprod_binary64_452`
27×	`div-exp_binary64_470`
15×	`cbrt-undiv_binary64_453` `add-sqr-sqrt_binary64_441`
10×	`pow1_binary64_480` `pow-to-exp_binary64_488` `pow-exp_binary64_487`
9×	`add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-r*_binary64_359`
7×	`unpow-prod-down_binary64_498`
4×	`add-log-exp_binary64_458` `associate-l_binary64_360` `unswap-sqr_binary64_387`
3×	`pow-prod-down_binary64_490` `unpow2_binary64_484` `sqr-pow_binary64_391` `pow-unpow_binary64_496`
2×	`*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `times-frac_binary64_425` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `associate-/r_binary64_363` `pow-pow_binary64_491`

Counts

4 → 124

Calls

4 calls:

14.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
9.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3652 to 1381 computations (62.2% saved)

series816.0ms (2.7%)

Error

19.5b

Counts

4 → 33

Calls

4 calls:

510.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
149.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
95.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
29.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1904 to 1385 computations (27.3% saved)

simplify97.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4966	2954
1	4966	2954

prune198.0ms (0.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	147	10	157
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	152	19	171

Error

11.6b

Counts

171 → 19

Compiler

Compiled 3914 to 1892 computations (51.7% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
0.4b	(pow.f64 (sin.f64 k) 2)
1.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
21.6b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))

rewrite182.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

8.9b

Rules

107×	`add-exp-log_binary64_457`
65×	`add-cbrt-cube_binary64_455`
64×	`prod-exp_binary64_468`
34×	`cbrt-unprod_binary64_452`
18×	`div-exp_binary64_470`
16×	`add-sqr-sqrt_binary64_441`
12×	`cbrt-undiv_binary64_453`
10×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
9×	`associate-r_binary64_359`
7×	`pow1_binary64_480` `unpow-prod-down_binary64_498`
6×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `associate-l_binary64_360`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387`
3×	`unpow2_binary64_484` `sqr-pow_binary64_391` `pow-unpow_binary64_496`
2×	`*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `times-frac_binary64_425` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `associate-/r_binary64_363` `pow-pow_binary64_491` `pow-prod-down_binary64_490`

Counts

4 → 107

Calls

4 calls:

14.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
6.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3092 to 1330 computations (57% saved)

series792.0ms (2.6%)

Error

11.6b

Counts

4 → 33

Calls

4 calls:

490.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
144.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
96.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
30.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1918 to 1389 computations (27.6% saved)

simplify76.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4993	2486
1	4993	2486

prune166.0ms (0.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	135	5	140
Fresh	6	12	18
Picked	0	1	1
Done	0	0	0
Total	141	18	159

Error

10.6b

Counts

159 → 18

Compiler

Compiled 3511 to 1674 computations (52.3% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
1.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
8.6b	(/.f64 (*.f64 l l) k)
13.5b	(/.f64 (.f64 (/.f64 (.f64 l l) k) (cos.f64 k)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite179.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

7.3b

Rules

109×	`add-exp-log_binary64_457`
65×	`add-cbrt-cube_binary64_455`
52×	`prod-exp_binary64_468`
32×	`div-exp_binary64_470`
26×	`cbrt-unprod_binary64_452`
20×	`cbrt-undiv_binary64_453`
17×	`add-sqr-sqrt_binary64_441`
11×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`associate-r_binary64_359`
7×	`unpow-prod-down_binary64_498`
6×	`pow-to-exp_binary64_488` `pow-exp_binary64_487`
5×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `times-frac_binary64_425` `associate-/r*_binary64_363` `unswap-sqr_binary64_387`
3×	`unpow2_binary64_484` `sqr-pow_binary64_391` `associate-l_binary64_360` `pow-unpow_binary64_496`
2×	`frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l*_binary64_364`
1×	`associate-l/_binary64_362` `associate-/l/_binary64_366` `-commutative_binary64_350` `pow-pow_binary64_491`

Counts

4 → 112

Calls

4 calls:

13.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) k) (cos.f64 k)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.0ms	(/.f64 (*.f64 l l) k)
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3179 to 1253 computations (60.6% saved)

series741.0ms (2.4%)

Error

10.6b

Counts

4 → 32

Calls

4 calls:

504.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) k) (cos.f64 k)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))
107.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
73.0ms	(/.f64 (*.f64 l l) k)
26.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1833 to 1343 computations (26.7% saved)

simplify89.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4975	2460
1	4975	2460

prune149.0ms (0.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	136	8	144
Fresh	6	10	16
Picked	1	0	1
Done	0	1	1
Total	143	19	162

Error

8.4b

Counts

162 → 19

Compiler

Compiled 3195 to 1348 computations (57.8% saved)

regimes3.0s (9.8%)

Accuracy

Total 7.7b remaining (54.1%)

Threshold costs 0b (0%)

Compiler

Compiled 34293 to 25740 computations (24.9% saved)

bsearch885.0ms (2.9%)

Steps

Iters	Range		Point
6	4.577143753789342e-55	3.4821282191413396e-54	4.6518583883372725e-55
11	-2.2041253250777835e-150	-3.535808605818178e-182	-1.5482059886230863e-162

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	115	115
1	115	115

end0.0ms (0%)

sample17.4s (57%)

Algorithm

1×

intervals

Results

4.4s	1277×	body	4096	invalid
2.1s	3969×	body	1024	valid
2.0s	984×	body	2048	invalid
975.0ms	1032×	body	2048	valid
887.0ms	439×	body	4096	valid
503.0ms	1361×	body	512	valid
355.0ms	643×	body	1024	invalid
158.0ms	436×	body	512	invalid
130.0ms	1046×	body	128	invalid
115.0ms	444×	body	256	valid
98.0ms	755×	body	128	valid
77.0ms	300×	body	256	invalid

Compiler

Compiled 5157 to 3872 computations (24.9% saved)

Details

analyze2.6s (8.4%)

sample403.0ms (1.3%)

simplify23.0ms (0.1%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite478.0ms (1.6%)

series1.6s (5.1%)

simplify114.0ms (0.4%)

prune350.0ms (1.1%)

localize16.0ms (0.1%)

rewrite214.0ms (0.7%)

series816.0ms (2.7%)

simplify97.0ms (0.3%)

prune198.0ms (0.6%)

localize14.0ms (0%)

rewrite182.0ms (0.6%)

series792.0ms (2.6%)

simplify76.0ms (0.2%)

prune166.0ms (0.5%)

localize14.0ms (0%)

rewrite179.0ms (0.6%)

series741.0ms (2.4%)

simplify89.0ms (0.3%)

prune149.0ms (0.5%)

regimes3.0s (9.8%)

bsearch885.0ms (2.9%)

simplify4.0ms (0%)

end0.0ms (0%)

sample17.4s (57%)

Profiling