Details

analyze2.6s (11.9%)

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)

sample376.0ms (1.7%)

Algorithm

1×

intervals

Results

102.0ms	41×	body	4096	invalid
66.0ms	130×	body	1024	valid
51.0ms	15×	body	4096	valid
42.0ms	37×	body	2048	valid
41.0ms	36×	body	2048	invalid
19.0ms	31×	body	1024	invalid
11.0ms	30×	body	512	valid
9.0ms	33×	body	128	valid
7.0ms	19×	body	512	invalid
5.0ms	36×	body	128	invalid
3.0ms	12×	body	256	invalid
3.0ms	11×	body	256	valid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

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

39.4b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(/.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)))
1.1b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
14.0b	(/.f64 (pow.f64 t 3) (*.f64 l l))
28.3b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite88.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

405×	`add-exp-log_binary64_457`
237×	`prod-exp_binary64_468`
115×	`div-exp_binary64_470`
70×	`add-cbrt-cube_binary64_455`
56×	`pow-exp_binary64_487`
38×	`pow-to-exp_binary64_488`
35×	`cbrt-unprod_binary64_452`
24×	`times-frac_binary64_425`
21×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359` `add-sqr-sqrt_binary64_441`
19×	`unpow-prod-down_binary64_498`
15×	`associate-l/_binary64_362` `associate-/l_binary64_364`
14×	`cbrt-undiv_binary64_453`
9×	`pow1_binary64_480`
6×	`cube-prod_binary64_447` `tan-quot_binary64_578`
4×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `div-inv_binary64_416` `frac-times_binary64_429` `sqr-pow_binary64_391` `associate-*r/_binary64_361` `associate-/r/_binary64_365`
2×	`clear-num_binary64_418` `unpow3_binary64_485` `cube-mult_binary64_449` `-commutative_binary64_350` `associate-l_binary64_360` `frac-2neg_binary64_430` `associate-/r_binary64_363`
1×	`unpow2_binary64_484`

Counts

4 → 206

Calls

4 calls:

23.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
20.0ms	(/.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)))
12.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

series876.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

353.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
316.0ms	(/.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)))
182.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
24.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify104.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5120	5704

prune291.0ms (1.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	205	13	218
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	206	13	219

Error

15.6b

Counts

219 → 13

Compiler

Compiled 5664 to 2953 computations (47.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
2.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.6b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
19.0b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite48.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

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

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))))
11.0ms	(.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)

series281.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
54.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
39.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
14.0ms	(pow.f64 (sin.f64 k) 2)

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4970	2537
1	4970	2537

prune180.0ms (0.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	129	7	136
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	134	15	149

Error

10.7b

Counts

149 → 15

Compiler

Compiled 3373 to 1582 computations (53.1% saved)

localize19.0ms (0.1%)

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)
2.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
19.0b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))

rewrite40.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

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×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
9×	`associate-r_binary64_359`
7×	`unpow-prod-down_binary64_498` `pow1_binary64_480`
6×	`pow-exp_binary64_487` `pow-to-exp_binary64_488` `associate-l_binary64_360`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387`
3×	`sqr-pow_binary64_391` `pow-unpow_binary64_496` `unpow2_binary64_484`
2×	`*-commutative_binary64_350`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `times-frac_binary64_425` `div-inv_binary64_416` `frac-2neg_binary64_430` `pow-pow_binary64_491` `associate-/r_binary64_363` `associate-/l_binary64_364`

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)

series265.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
50.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
39.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
14.0ms	(pow.f64 (sin.f64 k) 2)

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4997	2069
1	4997	2069

prune138.0ms (0.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	114	5	119
Fresh	5	9	14
Picked	1	0	1
Done	0	0	0
Total	120	14	134

Error

10.7b

Counts

134 → 14

Compiler

Compiled 3001 to 1475 computations (50.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 (cos.f64 k) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))
2.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
7.1b	(/.f64 (*.f64 l l) k)
11.9b	(.f64 (/.f64 (.f64 l l) k) (/.f64 (cos.f64 k) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))

rewrite50.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

117×	`add-exp-log_binary64_457`
74×	`add-cbrt-cube_binary64_455`
56×	`prod-exp_binary64_468`
34×	`div-exp_binary64_470`
30×	`cbrt-unprod_binary64_452`
25×	`add-sqr-sqrt_binary64_441`
22×	`cbrt-undiv_binary64_453`
15×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359`
13×	`times-frac_binary64_425`
10×	`associate-l_binary64_360`
6×	`unswap-sqr_binary64_387` `pow1_binary64_480`
5×	`pow-exp_binary64_487` `pow-to-exp_binary64_488`
4×	`unpow-prod-down_binary64_498` `add-log-exp_binary64_458` `div-inv_binary64_416` `associate-/r_binary64_363` `associate-/l_binary64_364`
2×	`clear-num_binary64_418` `sqr-pow_binary64_391` `*-commutative_binary64_350` `frac-2neg_binary64_430` `unpow2_binary64_484`
1×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `frac-times_binary64_429` `associate-r/_binary64_361`

Counts

4 → 131

Calls

4 calls:

14.0ms	(.f64 (/.f64 (.f64 l l) k) (/.f64 (cos.f64 k) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
11.0ms	(/.f64 (cos.f64 k) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))
7.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.0ms	(/.f64 (*.f64 l l) k)

series323.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(.f64 (/.f64 (.f64 l l) k) (/.f64 (cos.f64 k) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
104.0ms	(/.f64 (cos.f64 k) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))
41.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
17.0ms	(/.f64 (*.f64 l l) k)

simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4970	2782
1	4970	2782

prune151.0ms (0.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	135	8	143
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	140	17	157

Error

3.6b

Counts

157 → 17

Compiler

Compiled 3306 to 1492 computations (54.9% saved)

regimes1.0s (4.9%)

Accuracy

Total 5.9b remaining (67.7%)

Threshold costs 0b (0%)

Compiler

Compiled 13553 to 9906 computations (26.9% saved)

bsearch477.0ms (2.2%)

Steps

Iters	Range		Point
10	2.5108111155261627e+196	2.6748699511134648e+206	5.6393845588116595e+203
7	8.270099214041802e+68	1.602656721735154e+71	3.59696949486835e+70

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	72
1	39	72

end0.0ms (0%)

sample13.9s (64.6%)

Algorithm

1×

intervals

Results

3.9s	1235×	body	4096	invalid
2.3s	1087×	body	2048	invalid
2.1s	3851×	body	1024	valid
1.0s	1055×	body	2048	valid
917.0ms	447×	body	4096	valid
518.0ms	1389×	body	512	valid
394.0ms	704×	body	1024	invalid
193.0ms	516×	body	512	invalid
138.0ms	1051×	body	128	invalid
112.0ms	447×	body	256	valid
108.0ms	811×	body	128	valid
77.0ms	315×	body	256	invalid

Compiler

Compiled 2061 to 1505 computations (27% saved)

Details

analyze2.6s (11.9%)

sample376.0ms (1.7%)

simplify21.0ms (0.1%)

prune5.0ms (0%)

localize17.0ms (0.1%)

rewrite88.0ms (0.4%)

series876.0ms (4.1%)

simplify104.0ms (0.5%)

prune291.0ms (1.3%)

localize16.0ms (0.1%)

rewrite48.0ms (0.2%)

series281.0ms (1.3%)

simplify74.0ms (0.3%)

prune180.0ms (0.8%)

localize19.0ms (0.1%)

rewrite40.0ms (0.2%)

series265.0ms (1.2%)

simplify72.0ms (0.3%)

prune138.0ms (0.6%)

localize16.0ms (0.1%)

rewrite50.0ms (0.2%)

series323.0ms (1.5%)

simplify92.0ms (0.4%)

prune151.0ms (0.7%)

regimes1.0s (4.9%)

bsearch477.0ms (2.2%)

simplify3.0ms (0%)

end0.0ms (0%)

sample13.9s (64.6%)

Profiling