Details

analyze1.1s (11.4%)

Algorithm

1×

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)

sample63.0ms (0.6%)

Algorithm

1×

intervals

Results

30.0ms	102×	body	1024	valid
10.0ms	47×	body	512	valid
6.0ms	88×	body	128	valid
4.0ms	6×	body	2048	valid
2.0ms	13×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify100.0ms (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

13.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

3.7b	(cos.f64 (+.f64 a b))
0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
0.1b	(*.f64 r (sin.f64 b))
0.1b	(*.f64 r (sin.f64 b))
0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.7b	(cos.f64 (+.f64 a b))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
9×	`add-sqr-sqrt_binary64_441`
7×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
5×	`pow1_binary64_480`
3×	`times-frac_binary64_425` `add-log-exp_binary64_458` `associate-r_binary64_359` `associate-l_binary64_360` `associate-/r*_binary64_363`
2×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `cos-sum_binary64_553` `div-inv_binary64_416` `unswap-sqr_binary64_387` `-commutative_binary64_350` `frac-2neg_binary64_430` `associate-/l_binary64_364`

Counts

3 → 47

Calls

6 calls:

5.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms	(*.f64 r (sin.f64 b))
4.0ms	(cos.f64 (+.f64 a b))
0.0ms	(*.f64 r (sin.f64 b))
0.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

series406.0ms (4.1%)

Counts

3 → 32

Calls

3 calls:

292.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
68.0ms	(*.f64 r (sin.f64 b))
46.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 792 to 617 computations (22.1% saved)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4951	1221
1	4951	1221

prune98.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	71	8	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	8	80

Error

0.2b

Counts

80 → 8

Compiler

Compiled 1257 to 355 computations (71.8% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

8 calls:

9.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
5.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
5.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
4.0ms	(*.f64 r (sin.f64 b))
0.0ms	(*.f64 (cos.f64 a) (cos.f64 b))

series937.0ms (9.5%)

Counts

4 → 40

Calls

4 calls:

609.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
164.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
92.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
72.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1309 to 961 computations (26.6% saved)

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4978	2215
1	4978	2215

prune183.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	107	9	116
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	113	11	124

Error

0.0b

Counts

124 → 11

Compiler

Compiled 2660 to 603 computations (77.3% saved)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

8 calls:

12.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
11.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
5.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
5.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
0.0ms	(*.f64 (cos.f64 a) (cos.f64 b))

series1.2s (11.8%)

Counts

4 → 44

Calls

4 calls:

607.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
315.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
162.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
84.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

Compiler

Compiled 1488 to 1080 computations (27.4% saved)

simplify98.0ms (1%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4980	3705
1	4980	3705

prune160.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	145	10	155

Error

0.0b

Counts

155 → 10

Compiler

Compiled 3622 to 799 computations (77.9% saved)

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

rewrite43.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-exp-log_binary64_457`
27×	`add-sqr-sqrt_binary64_441`
23×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359`
22×	`add-cbrt-cube_binary64_455`
18×	`times-frac_binary64_425`
14×	`prod-exp_binary64_468` `pow1_binary64_480`
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` `-commutative_binary64_350` `associate-/r_binary64_363` `associate-/l*_binary64_364` `cbrt-undiv_binary64_453`
2×	`div-inv_binary64_416` `unswap-sqr_binary64_387` `flip3--_binary64_423` `flip--_binary64_394` `sub-div_binary64_426` `frac-sub_binary64_428`
1×	`clear-num_binary64_418` `inv-pow_binary64_504` `associate-*r/_binary64_361` `frac-2neg_binary64_430` `pow-flip_binary64_493` `un-div-inv_binary64_417`

Counts

4 → 114

Calls

8 calls:

14.0ms	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
8.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
5.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
4.0ms	(*.f64 r (sin.f64 b))
0.0ms	(*.f64 (cos.f64 a) (cos.f64 b))

series1.1s (10.7%)

Counts

4 → 40

Calls

4 calls:

607.0ms	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
284.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
99.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
70.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1519 to 1125 computations (25.9% saved)

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5010	3495

prune140.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	154	10	164

Error

0.0b

Counts

164 → 10

Compiler

Compiled 3738 to 853 computations (77.2% saved)

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	622	1798
1	622	1798

regimes321.0ms (3.2%)

Compiler: Compiled 3237 to 2133 computations (34.1% saved)

bsearch0.0ms (0%)

regimes194.0ms (2%)

Compiler: Compiled 2274 to 1302 computations (42.7% saved)

bsearch0.0ms (0%)

regimes143.0ms (1.4%)

Compiler: Compiled 1791 to 921 computations (48.6% saved)

bsearch0.0ms (0%)

regimes39.0ms (0.4%)

Accuracy

Total 0.3b remaining (94.6%)

Threshold costs 0.3b (94.6%)

Compiler

Compiled 402 to 156 computations (61.2% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 159 to 83 computations (47.8% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	106	262
1	106	262

end0.0ms (0%)

sample3.2s (32.3%)

Algorithm

1×

intervals

Results

1.1s	3503×	body	1024	valid
296.0ms	1368×	body	512	valid
185.0ms	2322×	body	128	valid
124.0ms	204×	body	2048	valid
96.0ms	603×	body	256	valid
1.0ms	2×	body	1024	invalid
0.0ms	2×	body	512	invalid
0.0ms	1×	body	128	invalid

Compiler

Compiled 1246 to 800 computations (35.8% saved)

Pareto

0.46890904007816187

Details

analyze1.1s (11.4%)

sample63.0ms (0.6%)

simplify100.0ms (1%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite17.0ms (0.2%)

series406.0ms (4.1%)

simplify83.0ms (0.8%)

prune98.0ms (1%)

localize17.0ms (0.2%)

rewrite30.0ms (0.3%)

series937.0ms (9.5%)

simplify70.0ms (0.7%)

prune183.0ms (1.8%)

localize14.0ms (0.1%)

rewrite44.0ms (0.4%)

series1.2s (11.8%)

simplify98.0ms (1%)

prune160.0ms (1.6%)

localize19.0ms (0.2%)

rewrite43.0ms (0.4%)

series1.1s (10.7%)

simplify63.0ms (0.6%)

prune140.0ms (1.4%)

simplify38.0ms (0.4%)

regimes321.0ms (3.2%)

bsearch0.0ms (0%)

regimes194.0ms (2%)

bsearch0.0ms (0%)

regimes143.0ms (1.4%)

bsearch0.0ms (0%)

regimes39.0ms (0.4%)

bsearch7.0ms (0.1%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.2s (32.3%)

Profiling