Details

analyze2.7s (9.8%)

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)

sample457.0ms (1.6%)

Algorithm

1×

intervals

Results

171.0ms	42×	body	4096	invalid
86.0ms	39×	body	2048	invalid
73.0ms	133×	body	1024	valid
36.0ms	14×	body	4096	valid
21.0ms	21×	body	2048	valid
16.0ms	43×	body	512	valid
13.0ms	27×	body	1024	invalid
5.0ms	43×	body	128	invalid
5.0ms	19×	body	256	valid
3.0ms	26×	body	128	valid
3.0ms	9×	body	512	invalid
1.0ms	5×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify22.0ms (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

40.5b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
0.8b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
14.3b	(/.f64 (pow.f64 t 3) (*.f64 l l))
30.2b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite386.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

26.2b

Rules

228×	`add-exp-log_binary64_457`
139×	`prod-exp_binary64_468`
52×	`add-cbrt-cube_binary64_455`
51×	`div-exp_binary64_470`
37×	`times-frac_binary64_425`
33×	`add-sqr-sqrt_binary64_441`
32×	`pow-exp_binary64_487`
26×	`cbrt-unprod_binary64_452`
24×	`add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-r*_binary64_359`
23×	`pow-to-exp_binary64_488` `unpow-prod-down_binary64_498`
18×	`associate-l_binary64_360`
12×	`associate-/l*_binary64_364`
11×	`pow1_binary64_480`
10×	`associate-*l/_binary64_362` `cube-prod_binary64_447`
8×	`cbrt-undiv_binary64_453`
5×	`sqr-pow_binary64_391` `unswap-sqr_binary64_387`
4×	`add-log-exp_binary64_458` `tan-quot_binary64_578` `pow-prod-down_binary64_490`
3×	`div-inv_binary64_416` `*-commutative_binary64_350` `unpow3_binary64_485` `cube-mult_binary64_449`
2×	`frac-times_binary64_429` `associate-*r/_binary64_361`
1×	`unpow2_binary64_484` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r*_binary64_363`

Counts

4 → 187

Calls

4 calls:

19.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
12.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
10.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 5495 to 2635 computations (52% saved)

series1.3s (4.5%)

Error

23.7b

Counts

4 → 36

Calls

4 calls:

474.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
425.0ms	(.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))
101.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2302 to 1805 computations (21.6% saved)

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5182	4723

prune283.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	212	11	223
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	213	11	224

Error

18.3b

Counts

224 → 11

Compiler

Compiled 5749 to 2909 computations (49.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sin.f64 k) 2)
2.5b	(*.f64 t (pow.f64 (sin.f64 k) 2))
7.7b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
20.9b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite217.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

12.3b

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 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
8.0ms	(.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)

series757.0ms (2.7%)

Error

18.3b

Counts

4 → 32

Calls

4 calls:

444.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
157.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
99.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
25.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1873 to 1362 computations (27.3% saved)

simplify61.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5608	2945

prune186.0ms (0.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	147	9	156
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	150	17	167

Error

14.3b

Counts

167 → 17

Compiler

Compiled 3856 to 1789 computations (53.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
0.3b	(pow.f64 (sin.f64 k) 2)
2.5b	(*.f64 t (pow.f64 (sin.f64 k) 2))
20.9b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite166.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

12.2b

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:

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

series759.0ms (2.7%)

Error

14.3b

Counts

4 → 32

Calls

4 calls:

453.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
149.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
99.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
26.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1887 to 1366 computations (27.6% saved)

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5008	2455

prune163.0ms (0.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	134	5	139
Fresh	4	12	16
Picked	0	1	1
Done	0	0	0
Total	138	18	156

Error

13.8b

Counts

156 → 18

Compiler

Compiled 3496 to 1662 computations (52.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sin.f64 k) 2)
2.5b	(*.f64 t (pow.f64 (sin.f64 k) 2))
8.7b	(/.f64 k (*.f64 l l))
13.3b	(.f64 (/.f64 k (.f64 l l)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite177.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

4.9b

Rules

78×	`add-exp-log_binary64_457`
47×	`add-cbrt-cube_binary64_455`
45×	`prod-exp_binary64_468`
23×	`cbrt-unprod_binary64_452`
19×	`add-sqr-sqrt_binary64_441`
13×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
12×	`div-exp_binary64_470`
10×	`pow1_binary64_480` `associate-l_binary64_360`
9×	`associate-r_binary64_359`
8×	`cbrt-undiv_binary64_453`
7×	`unpow-prod-down_binary64_498`
6×	`times-frac_binary64_425`
5×	`pow-to-exp_binary64_488` `pow-exp_binary64_487`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387`
3×	`pow-prod-down_binary64_490` `associate-/l*_binary64_364` `unpow2_binary64_484` `sqr-pow_binary64_391` `pow-unpow_binary64_496`
2×	`div-inv_binary64_416` `*-commutative_binary64_350`
1×	`associate-l/_binary64_362` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r_binary64_363` `pow-pow_binary64_491`

Counts

4 → 109

Calls

4 calls:

12.0ms	(.f64 (/.f64 k (.f64 l l)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.0ms	(/.f64 k (*.f64 l l))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 2943 to 1277 computations (56.6% saved)

series560.0ms (2%)

Error

13.8b

Counts

4 → 30

Calls

4 calls:

329.0ms	(.f64 (/.f64 k (.f64 l l)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))
103.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
72.0ms	(/.f64 k (*.f64 l l))
27.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1781 to 1318 computations (26% saved)

simplify66.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4996	2034
1	4996	2034

prune150.0ms (0.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	130	9	139
Fresh	9	7	16
Picked	1	0	1
Done	0	1	1
Total	140	17	157

Error

4.8b

Counts

157 → 17

Compiler

Compiled 3095 to 1361 computations (56% saved)

regimes2.6s (9.4%)

Accuracy

Total 4.9b remaining (52.8%)

Threshold costs 0b (0%)

Compiler

Compiled 34526 to 25962 computations (24.8% saved)

bsearch11.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	122
1	51	122

end0.0ms (0%)

sample16.8s (59.7%)

Algorithm

1×

intervals

Results

4.0s	1209×	body	4096	invalid
2.1s	1028×	body	2048	invalid
2.1s	3914×	body	1024	valid
988.0ms	1035×	body	2048	valid
943.0ms	459×	body	4096	valid
503.0ms	1317×	body	512	valid
395.0ms	698×	body	1024	invalid
180.0ms	500×	body	512	invalid
143.0ms	1102×	body	128	invalid
128.0ms	478×	body	256	valid
101.0ms	797×	body	128	valid
65.0ms	276×	body	256	invalid

Compiler

Compiled 5229 to 3924 computations (25% saved)

Details

analyze2.7s (9.8%)

sample457.0ms (1.6%)

simplify22.0ms (0.1%)

prune5.0ms (0%)

localize20.0ms (0.1%)

rewrite386.0ms (1.4%)

series1.3s (4.5%)

simplify81.0ms (0.3%)

prune283.0ms (1%)

localize14.0ms (0.1%)

rewrite217.0ms (0.8%)

series757.0ms (2.7%)

simplify61.0ms (0.2%)

prune186.0ms (0.7%)

localize17.0ms (0.1%)

rewrite166.0ms (0.6%)

series759.0ms (2.7%)

simplify74.0ms (0.3%)

prune163.0ms (0.6%)

localize14.0ms (0.1%)

rewrite177.0ms (0.6%)

series560.0ms (2%)

simplify66.0ms (0.2%)

prune150.0ms (0.5%)

regimes2.6s (9.4%)

bsearch11.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample16.8s (59.7%)

Profiling