Details

analyze1.1s (5.7%)

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)

sample197.0ms (1%)

Algorithm

1×

intervals

Results

32.0ms	115×	body	1024	valid
8.0ms	42×	body	512	valid
6.0ms	10×	body	2048	valid
5.0ms	71×	body	128	valid
2.0ms	18×	body	256	valid

Compiler

Compiled 2579 to 3092 computations (-19.9% saved)

simplify7.0ms (0%)

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

16.7b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0%)

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)))
3.7b	(cos.f64 (+.f64 a b))

rewrite98.0ms (0.5%)

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:

8.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms	(cos.f64 (+.f64 a b))
4.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

Compiler

Compiled 1186 to 235 computations (80.2% saved)

series789.0ms (3.9%)

Error

14.8b

Counts

3 → 39

Calls

3 calls:

441.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
231.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
64.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1877 to 1144 computations (39.1% saved)

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4986	2320
1	4986	2320

prune144.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	94	12	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	12	107

Error

0.2b

Counts

107 → 12

Compiler

Compiled 2133 to 672 computations (68.5% 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 r (/.f64 (sin.f64 b) (-.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 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))

rewrite184.0ms (0.9%)

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` `cos-mult_binary64_573` `associate-l_binary64_360`
3×	`frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `flip--_binary64_394` `associate-/l_binary64_364` `associate-/r_binary64_363` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `div-inv_binary64_416` `pow-prod-down_binary64_490` `*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-*r/_binary64_361` `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)))))
9.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
8.0ms	(/.f64 (sin.f64 b) (-.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)

series1.8s (8.8%)

Error

0.1b

Counts

4 → 51

Calls

4 calls:

869.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
475.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
214.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
146.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2840 to 1626 computations (42.7% saved)

simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5016	4067

prune217.0ms (1.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	137	14	151
Fresh	9	2	11
Picked	1	0	1
Done	0	0	0
Total	147	16	163

Error

0.0b

Counts

163 → 16

Compiler

Compiled 4116 to 1124 computations (72.7% saved)

localize13.0ms (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)))
0.1b	(*.f64 (sin.f64 b) r)
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

rewrite110.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_441`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
10×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`pow1_binary64_480`
6×	`add-log-exp_binary64_458` `associate-l_binary64_360` `associate-r_binary64_359`
5×	`sin-mult_binary64_574`
4×	`cos-mult_binary64_573` `associate-/r/_binary64_365`
3×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `times-frac_binary64_425` `associate-/r*_binary64_363`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `flip--_binary64_394` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l*_binary64_364` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 76

Calls

4 calls:

10.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.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))
4.0ms	(*.f64 (sin.f64 b) r)

Compiler

Compiled 1946 to 307 computations (84.2% saved)

series1.4s (6.9%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

842.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
234.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
153.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
111.0ms	(*.f64 (sin.f64 b) r)

Compiler

Compiled 2544 to 1406 computations (44.7% saved)

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5034	2678

prune159.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	126	14	140

Error

0.0b

Counts

140 → 14

Compiler

Compiled 3147 to 812 computations (74.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite311.0ms (1.5%)

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:

13.0ms	(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
8.0ms	(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
6.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
5.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

Compiler

Compiled 2862 to 437 computations (84.7% saved)

series2.1s (10.3%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

861.0ms	(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
751.0ms	(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
236.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
163.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

Compiler

Compiled 3024 to 1699 computations (43.8% saved)

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4977	4212
1	4977	4212

prune173.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	154	14	168

Error

0.0b

Counts

168 → 14

Compiler

Compiled 3820 to 802 computations (79% saved)

regimes1.9s (9.5%)

Accuracy

Total 0.3b remaining (94.9%)

Threshold costs 0.3b (94.9%)

Compiler

Compiled 20334 to 11871 computations (41.6% 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%)

sample9.1s (45.2%)

Algorithm

1×

intervals

Results

1.0s	3471×	body	1024	valid
278.0ms	1353×	body	512	valid
163.0ms	2387×	body	128	valid
128.0ms	216×	body	2048	valid
82.0ms	573×	body	256	valid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 84026 to 98364 computations (-17.1% saved)

Details

analyze1.1s (5.7%)

sample197.0ms (1%)

simplify7.0ms (0%)

prune2.0ms (0%)

localize8.0ms (0%)

rewrite98.0ms (0.5%)

series789.0ms (3.9%)

simplify48.0ms (0.2%)

prune144.0ms (0.7%)

localize14.0ms (0.1%)

rewrite184.0ms (0.9%)

series1.8s (8.8%)

simplify86.0ms (0.4%)

prune217.0ms (1.1%)

localize13.0ms (0.1%)

rewrite110.0ms (0.5%)

series1.4s (6.9%)

simplify69.0ms (0.3%)

prune159.0ms (0.8%)

localize14.0ms (0.1%)

rewrite311.0ms (1.5%)

series2.1s (10.3%)

simplify101.0ms (0.5%)

prune173.0ms (0.9%)

regimes1.9s (9.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample9.1s (45.2%)

Profiling