Details

analyze1.2s (6.9%)

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)

sample65.0ms (0.4%)

Algorithm

1×

intervals

Results

34.0ms	118×	body	1024	valid
6.0ms	32×	body	512	valid
6.0ms	88×	body	128	valid
5.0ms	9×	body	2048	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% 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

prune3.0ms (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

15.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (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)))
3.0b	(cos.f64 (+.f64 a b))

rewrite119.0ms (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:

12.0ms	(*.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 1153 to 228 computations (80.2% saved)

series787.0ms (4.6%)

Error

14.1b

Counts

3 → 36

Calls

3 calls:

447.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
234.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
63.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1563 to 1038 computations (33.6% saved)

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5002	2050

prune141.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	92	11	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	11	104

Error

0.2b

Counts

104 → 11

Compiler

Compiled 1694 to 566 computations (66.6% 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 (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)))))

rewrite265.0ms (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 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
9.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
6.0ms	(-.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 2800 to 419 computations (85% saved)

series1.9s (11%)

Error

0.1b

Counts

4 → 46

Calls

4 calls:

945.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
506.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
237.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
144.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2286 to 1455 computations (36.4% saved)

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5153	3730

prune217.0ms (1.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	137	9	146
Fresh	9	1	10
Picked	0	1	1
Done	0	0	0
Total	146	11	157

Error

0.0b

Counts

157 → 11

Compiler

Compiled 3218 to 866 computations (73.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite292.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-exp-log_binary64_457`
27×	`add-sqr-sqrt_binary64_441`
23×	`add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-r*_binary64_359`
22×	`add-cbrt-cube_binary64_455`
18×	`times-frac_binary64_425`
14×	`pow1_binary64_480` `prod-exp_binary64_468`
8×	`cbrt-unprod_binary64_452` `associate-/r/_binary64_365`
7×	`associate-l_binary64_360`
6×	`div-exp_binary64_470`
5×	`pow-prod-down_binary64_490` `sin-mult_binary64_574`
4×	`add-log-exp_binary64_458` `cos-mult_binary64_573`
3×	`1-exp_binary64_463` `rec-exp_binary64_469` `cbrt-undiv_binary64_453` `-commutative_binary64_350` `associate-/l_binary64_364` `associate-/r*_binary64_363`
2×	`div-inv_binary64_416` `frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `flip--_binary64_394` `unswap-sqr_binary64_387`
1×	`un-div-inv_binary64_417` `associate-*r/_binary64_361` `inv-pow_binary64_504` `pow-flip_binary64_493` `frac-2neg_binary64_430` `clear-num_binary64_418`

Counts

4 → 114

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)))))
8.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
6.0ms	(*.f64 (sin.f64 b) r)
5.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 3119 to 726 computations (76.7% saved)

series1.8s (10.3%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

969.0ms	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
442.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
156.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
117.0ms	(*.f64 (sin.f64 b) r)

Compiler

Compiled 2394 to 1545 computations (35.5% saved)

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4958	3619
1	4958	3619

prune282.0ms (1.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	153	5	158
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	156	13	169

Error

0.0b

Counts

169 → 13

Compiler

Compiled 3253 to 999 computations (69.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite402.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

120×	`times-frac_binary64_425`
112×	`add-sqr-sqrt_binary64_441`
77×	`*-un-lft-identity_binary64_419`
67×	`add-cube-cbrt_binary64_454`
23×	`associate-/r*_binary64_363`
15×	`difference-of-squares_binary64_388`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
9×	`associate-/l*_binary64_364`
7×	`div-inv_binary64_416`
6×	`add-log-exp_binary64_458`
5×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `distribute-lft-out--_binary64_371`
4×	`pow1_binary64_480`
3×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r/_binary64_365` `cancel-sign-sub-inv_binary64_385`
2×	`flip3--_binary64_423` `flip--_binary64_394`
1×	`quot-tan_binary64_579` `diff-log_binary64_511` `sub-neg_binary64_412`

Counts

4 → 161

Calls

4 calls:

19.0ms	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))
18.0ms	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
7.0ms	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
4.0ms	(/.f64 (sin.f64 b) (cos.f64 b))

Compiler

Compiled 3880 to 755 computations (80.5% saved)

series1.5s (9%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

872.0ms	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
290.0ms	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))
265.0ms	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
54.0ms	(/.f64 (sin.f64 b) (cos.f64 b))

Compiler

Compiled 1620 to 1103 computations (31.9% saved)

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5005	5255

prune319.0ms (1.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	199	3	202
Fresh	3	7	10
Picked	0	1	1
Done	1	1	2
Total	203	12	215

Error

0.0b

Counts

215 → 12

Compiler

Compiled 3815 to 817 computations (78.6% saved)

regimes5.2s (30.2%)

Accuracy

Total 0.3b remaining (87.4%)

Threshold costs 0.3b (87.4%)

Compiler

Compiled 53156 to 32228 computations (39.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	26
1	42	26

end1.0ms (0%)

Compiler: Compiled 16 to 12 computations (25% saved)

sample2.3s (13.6%)

Algorithm

1×

intervals

Results

993.0ms	3420×	body	1024	valid
292.0ms	1404×	body	512	valid
169.0ms	2397×	body	128	valid
102.0ms	183×	body	2048	valid
94.0ms	596×	body	256	valid
1.0ms	2×	body	1024	invalid

Compiler

Compiled 385 to 241 computations (37.4% saved)

Details

analyze1.2s (6.9%)

sample65.0ms (0.4%)

simplify7.0ms (0%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite119.0ms (0.7%)

series787.0ms (4.6%)

simplify73.0ms (0.4%)

prune141.0ms (0.8%)

localize14.0ms (0.1%)

rewrite265.0ms (1.5%)

series1.9s (11%)

simplify63.0ms (0.4%)

prune217.0ms (1.3%)

localize16.0ms (0.1%)

rewrite292.0ms (1.7%)

series1.8s (10.3%)

simplify87.0ms (0.5%)

prune282.0ms (1.6%)

localize13.0ms (0.1%)

rewrite402.0ms (2.3%)

series1.5s (9%)

simplify88.0ms (0.5%)

prune319.0ms (1.9%)

regimes5.2s (30.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end1.0ms (0%)

sample2.3s (13.6%)

Profiling