Details

analyze1.1s (9.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	56
1	66	56
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
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.8%	0.1%	9
19.5%	80.4%	0.1%	10
20.7%	79.2%	0.1%	11
22%	77.8%	0.1%	12
23.5%	76.4%	0.1%	13
23.8%	76%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample67.0ms (0.5%)

Algorithm

1×

intervals

Results

35.0ms	105×	body	1024	valid
9.0ms	46×	body	512	valid
5.0ms	75×	body	128	valid
3.0ms	26×	body	256	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0b	(cos.f64 (+.f64 a b))

rewrite87.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

24×	`add-sqr-sqrt_binary64_441`
19×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419` `times-frac_binary64_425`
13×	`associate-r_binary64_359`
10×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`pow1_binary64_480`
3×	`add-log-exp_binary64_458` `associate-/l_binary64_364` `associate-/r_binary64_363` `associate-l_binary64_360`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `div-inv_binary64_416` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387`
1×	`cos-sum_binary64_553` `frac-2neg_binary64_430` `clear-num_binary64_418` `pow-prod-down_binary64_490` `associate-r/_binary64_361` `-commutative_binary64_350`

Counts

3 → 67

Calls

3 calls:

7.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1186 to 235 computations (80.2% saved)

series506.0ms (4.2%)

Error

13.9b

Counts

3 → 39

Calls

3 calls:

274.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
141.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
43.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1877 to 1144 computations (39.1% saved)

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4986	2320
1	4986	2320

prune114.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	95	11	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	11	107

Error

0.2b

Counts

107 → 11

Compiler

Compiled 2079 to 642 computations (69.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
0.2b	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
0.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))

rewrite154.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64_441`
22×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
20×	`associate-r_binary64_359`
19×	`times-frac_binary64_425`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`pow1_binary64_480` `associate-/r/_binary64_365`
7×	`sin-mult_binary64_574`
6×	`add-log-exp_binary64_458` `associate-l_binary64_360` `cos-mult_binary64_573`
3×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `flip--_binary64_394` `associate-/l_binary64_364` `associate-/r_binary64_363`
2×	`pow-prod-down_binary64_490` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `div-inv_binary64_416` `*-commutative_binary64_350`
1×	`associate-*r/_binary64_361` `frac-2neg_binary64_430` `clear-num_binary64_418` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 100

Calls

4 calls:

12.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
11.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
5.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
5.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2890 to 436 computations (84.9% saved)

series1.2s (9.5%)

Error

0.2b

Counts

4 → 51

Calls

4 calls:

550.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
305.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
147.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
102.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2840 to 1626 computations (42.7% saved)

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5016	4067

prune164.0ms (1.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	138	13	151
Fresh	10	0	10
Picked	1	0	1
Done	0	0	0
Total	149	13	162

Error

0.0b

Counts

162 → 13

Compiler

Compiled 4047 to 1072 computations (73.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
0.2b	(/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
0.3b	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))

rewrite144.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-exp-log_binary64_457`
23×	`add-sqr-sqrt_binary64_441`
21×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
20×	`add-cbrt-cube_binary64_455` `associate-r_binary64_359`
18×	`times-frac_binary64_425`
13×	`prod-exp_binary64_468`
12×	`pow1_binary64_480`
8×	`associate-/r/_binary64_365`
7×	`cbrt-unprod_binary64_452` `sin-mult_binary64_574`
6×	`div-exp_binary64_470` `add-log-exp_binary64_458` `cos-mult_binary64_573`
4×	`pow-prod-down_binary64_490` `associate-l_binary64_360`
3×	`1-exp_binary64_463` `rec-exp_binary64_469` `cbrt-undiv_binary64_453` `frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `flip--_binary64_394` `associate-/l_binary64_364` `associate-/r_binary64_363`
2×	`div-inv_binary64_416` `*-commutative_binary64_350`
1×	`un-div-inv_binary64_417` `associate-*r/_binary64_361` `unswap-sqr_binary64_387` `inv-pow_binary64_504` `pow-flip_binary64_493` `frac-2neg_binary64_430` `clear-num_binary64_418` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 110

Calls

4 calls:

13.0ms	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
7.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
5.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
5.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 3303 to 761 computations (77% saved)

series1.1s (9.1%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

540.0ms	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
262.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
147.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
113.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2976 to 1752 computations (41.1% saved)

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4987	4225
1	4987	4225

prune158.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	161	13	174

Error

0.0b

Counts

174 → 13

Compiler

Compiled 4429 to 1247 computations (71.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 a)) (cbrt.f64 (sin.f64 a)))
0.6b	(cbrt.f64 (sin.f64 a))
0.6b	(cbrt.f64 (sin.f64 a))
0.6b	(cbrt.f64 (sin.f64 a))

rewrite94.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_450`
23×	`add-sqr-sqrt_binary64_441`
15×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
11×	`pow1_binary64_480`
9×	`pow1/3_binary64_501`
6×	`add-exp-log_binary64_457` `swap-sqr_binary64_386` `associate-l_binary64_360` `associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `unswap-sqr_binary64_387`
2×	`pow-prod-down_binary64_490` `pow-prod-up_binary64_489` `pow-sqr_binary64_392`
1×	`pow2_binary64_500` `pow-plus_binary64_482` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 a)) (cbrt.f64 (sin.f64 a)))
2.0ms	(cbrt.f64 (sin.f64 a))
1.0ms	(cbrt.f64 (sin.f64 a))
1.0ms	(cbrt.f64 (sin.f64 a))

Compiler

Compiled 2241 to 510 computations (77.2% saved)

series348.0ms (2.9%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

108.0ms	(*.f64 (cbrt.f64 (sin.f64 a)) (cbrt.f64 (sin.f64 a)))
73.0ms	(cbrt.f64 (sin.f64 a))
73.0ms	(cbrt.f64 (sin.f64 a))
72.0ms	(cbrt.f64 (sin.f64 a))

Compiler

Compiled 1363 to 822 computations (39.7% saved)

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5013	837

prune91.0ms (0.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	91	13	104

Error

0.0b

Counts

104 → 13

Compiler

Compiled 2523 to 641 computations (74.6% saved)

regimes1.7s (13.8%)

Accuracy

Total 0.3b remaining (95.7%)

Threshold costs 0.3b (95.7%)

Compiler

Compiled 18920 to 11195 computations (40.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	26
1	42	26

end0.0ms (0%)

sample4.8s (39.7%)

Algorithm

1×

intervals

Results

1.0s	3507×	body	1024	valid
272.0ms	1365×	body	512	valid
153.0ms	2300×	body	128	valid
111.0ms	192×	body	2048	valid
85.0ms	636×	body	256	valid
0.0ms	2×	body	1024	invalid

Compiler

Compiled 3725 to 2214 computations (40.6% saved)

Details

analyze1.1s (9.2%)

sample67.0ms (0.5%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite87.0ms (0.7%)

series506.0ms (4.2%)

simplify48.0ms (0.4%)

prune114.0ms (0.9%)

localize12.0ms (0.1%)

rewrite154.0ms (1.3%)

series1.2s (9.5%)

simplify86.0ms (0.7%)

prune164.0ms (1.3%)

localize14.0ms (0.1%)

rewrite144.0ms (1.2%)

series1.1s (9.1%)

simplify87.0ms (0.7%)

prune158.0ms (1.3%)

localize17.0ms (0.1%)

rewrite94.0ms (0.8%)

series348.0ms (2.9%)

simplify63.0ms (0.5%)

prune91.0ms (0.7%)

regimes1.7s (13.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.8s (39.7%)

Profiling