Details

analyze3.1s (9.1%)

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)

sample448.0ms (1.3%)

Algorithm

1×

intervals

Results

155.0ms	34×	body	4096	invalid
88.0ms	124×	body	1024	valid
46.0ms	26×	body	2048	invalid
36.0ms	30×	body	2048	valid
30.0ms	16×	body	4096	valid
28.0ms	41×	body	512	valid
19.0ms	29×	body	1024	invalid
7.0ms	15×	body	512	invalid
6.0ms	36×	body	128	valid
5.0ms	32×	body	128	invalid
3.0ms	9×	body	256	valid
2.0ms	8×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

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)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.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 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
14.1b	(/.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))

rewrite728.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

28.2b

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×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `-un-lft-identity_binary64_419` `associate-r*_binary64_359`
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×	`tan-quot_binary64_578` `cube-prod_binary64_447`
4×	`add-log-exp_binary64_458`
3×	`frac-times_binary64_429` `associate-*r/_binary64_361` `div-inv_binary64_416` `sqr-pow_binary64_391` `pow-prod-down_binary64_490` `associate-/r/_binary64_365`
2×	`associate-l_binary64_360` `-commutative_binary64_350` `frac-2neg_binary64_430` `unpow3_binary64_485` `cube-mult_binary64_449` `clear-num_binary64_418` `associate-/r_binary64_363`
1×	`unpow2_binary64_484`

Counts

4 → 206

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

Compiler

Compiled 6229 to 2967 computations (52.4% saved)

series2.2s (6.3%)

Error

22.6b

Counts

4 → 42

Calls

4 calls:

808.0ms	(/.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)))
586.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
583.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
138.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2610 to 2071 computations (20.7% saved)

simplify150.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4979	6607
1	4979	6607

prune360.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	239	9	248
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	240	9	249

Error

18.7b

Counts

249 → 9

Compiler

Compiled 6303 to 3219 computations (48.9% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
3.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.3b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
19.2b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite251.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

13.0b

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))))
10.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
9.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
5.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3652 to 1381 computations (62.2% saved)

series1.0s (3%)

Error

18.7b

Counts

4 → 36

Calls

4 calls:

633.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
192.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
134.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
36.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 2020 to 1456 computations (27.9% saved)

simplify95.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5002	3050

prune229.0ms (0.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	152	8	160
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	155	14	169

Error

10.7b

Counts

169 → 14

Compiler

Compiled 3879 to 1856 computations (52.2% saved)

localize21.0ms (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)
3.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
19.2b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))

rewrite171.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

9.1b

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:

16.0ms	(/.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)

series952.0ms (2.7%)

Error

10.7b

Counts

4 → 36

Calls

4 calls:

597.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
165.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
122.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
31.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 2036 to 1463 computations (28.1% saved)

simplify104.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4952	2582
1	4952	2582

prune192.0ms (0.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	137	6	143
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	142	15	157

Error

10.0b

Counts

157 → 15

Compiler

Compiled 3551 to 1683 computations (52.6% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
3.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
7.6b	(/.f64 (*.f64 l l) k)
11.8b	(/.f64 (.f64 (/.f64 (.f64 l l) k) (cos.f64 k)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite219.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

6.9b

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:

15.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) k) (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)
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3179 to 1253 computations (60.6% saved)

series958.0ms (2.8%)

Error

10.0b

Counts

4 → 33

Calls

4 calls:

623.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) k) (cos.f64 k)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))
152.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
109.0ms	(/.f64 (*.f64 l l) k)
34.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1869 to 1365 computations (27% saved)

simplify131.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4966	2491
1	4966	2491

prune179.0ms (0.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	137	8	145
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	141	19	160

Error

7.4b

Counts

160 → 19

Compiler

Compiled 3231 to 1368 computations (57.7% saved)

regimes2.7s (7.7%)

Accuracy

Total 6.5b remaining (50.4%)

Threshold costs 0b (0%)

Compiler

Compiled 30809 to 22935 computations (25.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	29
1	20	29

end0.0ms (0%)

sample20.4s (58.8%)

Algorithm

1×

intervals

Results

4.9s	1182×	body	4096	invalid
2.9s	1125×	body	2048	invalid
2.5s	3789×	body	1024	valid
1.3s	1065×	body	2048	valid
1.1s	453×	body	4096	valid
660.0ms	1406×	body	512	valid
479.0ms	686×	body	1024	invalid
235.0ms	520×	body	512	invalid
182.0ms	1070×	body	128	invalid
151.0ms	484×	body	256	valid
138.0ms	803×	body	128	valid
107.0ms	329×	body	256	invalid

Compiler

Compiled 4575 to 3416 computations (25.3% saved)

Details

analyze3.1s (9.1%)

sample448.0ms (1.3%)

simplify21.0ms (0.1%)

prune5.0ms (0%)

localize20.0ms (0.1%)

rewrite728.0ms (2.1%)

series2.2s (6.3%)

simplify150.0ms (0.4%)

prune360.0ms (1%)

localize23.0ms (0.1%)

rewrite251.0ms (0.7%)

series1.0s (3%)

simplify95.0ms (0.3%)

prune229.0ms (0.7%)

localize21.0ms (0.1%)

rewrite171.0ms (0.5%)

series952.0ms (2.7%)

simplify104.0ms (0.3%)

prune192.0ms (0.6%)

localize15.0ms (0%)

rewrite219.0ms (0.6%)

series958.0ms (2.8%)

simplify131.0ms (0.4%)

prune179.0ms (0.5%)

regimes2.7s (7.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample20.4s (58.8%)

Profiling