Details

analyze2.0s (10.8%)

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)

sample121.0ms (0.6%)

Algorithm

1×

intervals

Results

66.0ms	113×	body	1024	valid
15.0ms	43×	body	512	valid
9.0ms	76×	body	128	valid
9.0ms	5×	body	2048	valid
4.0ms	19×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

prune4.0ms (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

12.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
2.3b	(cos.f64 (+.f64 a b))

rewrite40.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_441`
19×	`*-un-lft-identity_binary64_419` `times-frac_binary64_425` `add-cube-cbrt_binary64_454`
13×	`associate-r_binary64_359`
10×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
5×	`pow1_binary64_480`
3×	`add-log-exp_binary64_458` `associate-l_binary64_360` `associate-/r_binary64_363` `associate-/l_binary64_364`
2×	`div-inv_binary64_416` `unswap-sqr_binary64_387` `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` `associate-r/_binary64_361` `-commutative_binary64_350` `frac-2neg_binary64_430`

Counts

3 → 67

Calls

3 calls:

14.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
8.0ms	(cos.f64 (+.f64 a b))
8.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

series829.0ms (4.4%)

Counts

3 → 36

Calls

3 calls:

476.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
263.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
90.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1006 to 759 computations (24.6% saved)

simplify159.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	5021	2073

prune190.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	90	13	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	13	104

Error

0.1b

Counts

104 → 13

Compiler

Compiled 1961 to 562 computations (71.3% saved)

localize26.0ms (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)))
0.1b	(.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))))

rewrite76.0ms (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

4 calls:

23.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
16.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
10.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
9.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

series1.9s (9.9%)

Counts

4 → 46

Calls

4 calls:

931.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
506.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
251.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
162.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

Compiler

Compiled 1530 to 1109 computations (27.5% saved)

simplify128.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5020	3795

prune285.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	136	10	146
Fresh	11	1	12
Picked	1	0	1
Done	0	0	0
Total	148	11	159

Error

Counts

159 → 11

Compiler

Compiled 3831 to 874 computations (77.2% saved)

localize25.0ms (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)))
0.1b	(*.f64 (sin.f64 b) r)
0.2b	(*.f64 (sin.f64 a) (sin.f64 b))
0.2b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

rewrite53.0ms (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

4 calls:

17.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
9.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
9.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
8.0ms	(*.f64 (sin.f64 b) r)

series1.5s (7.9%)

Counts

4 → 43

Calls

4 calls:

906.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
275.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
161.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
134.0ms	(*.f64 (sin.f64 b) r)

Compiler

Compiled 1390 to 1020 computations (26.6% saved)

simplify140.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4993	2429
1	4993	2429

prune202.0ms (1.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	119	11	130

Error

Counts

130 → 11

Compiler

Compiled 2874 to 657 computations (77.1% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite93.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-exp-log_binary64_457`
32×	`add-sqr-sqrt_binary64_441`
24×	`*-un-lft-identity_binary64_419`
23×	`add-cube-cbrt_binary64_454`
22×	`add-cbrt-cube_binary64_455`
21×	`associate-r_binary64_359`
20×	`times-frac_binary64_425`
14×	`prod-exp_binary64_468` `pow1_binary64_480`
9×	`associate-l_binary64_360`
8×	`cbrt-unprod_binary64_452` `associate-/r/_binary64_365`
6×	`div-exp_binary64_470`
5×	`pow-prod-down_binary64_490` `sin-mult_binary64_574`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `associate-*r/_binary64_361` `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` `flip3--_binary64_423` `un-div-inv_binary64_417` `flip--_binary64_394` `sub-div_binary64_426` `frac-sub_binary64_428`
1×	`clear-num_binary64_418` `inv-pow_binary64_504` `frac-2neg_binary64_430` `pow-flip_binary64_493`

Counts

4 → 118

Calls

4 calls:

25.0ms	(.f64 (sin.f64 b) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
23.0ms	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))
15.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
9.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

series2.1s (11.4%)

Counts

4 → 46

Calls

4 calls:

994.0ms	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))
520.0ms	(.f64 (sin.f64 b) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
447.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
161.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 1716 to 1249 computations (27.2% saved)

simplify132.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5001	4361

prune262.0ms (1.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	164	11	175

Error

Counts

175 → 11

Compiler

Compiled 4117 to 1029 computations (75% saved)

regimes1.9s (10.2%)

Accuracy

Total 0.3b remaining (92%)

Threshold costs 0.3b (92%)

Compiler

Compiled 7936 to 4825 computations (39.2% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	26
1	42	26

end0.0ms (0%)

sample6.5s (34.6%)

Algorithm

1×

intervals

Results

2.0s	3482×	body	1024	valid
507.0ms	1344×	body	512	valid
324.0ms	2352×	body	128	valid
266.0ms	216×	body	2048	valid
165.0ms	606×	body	256	valid
0.0ms	1×	body	512	invalid

Compiler

Compiled 1567 to 956 computations (39% saved)

Details

analyze2.0s (10.8%)

sample121.0ms (0.6%)

simplify12.0ms (0.1%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite40.0ms (0.2%)

series829.0ms (4.4%)

simplify159.0ms (0.9%)

prune190.0ms (1%)

localize26.0ms (0.1%)

rewrite76.0ms (0.4%)

series1.9s (9.9%)

simplify128.0ms (0.7%)

prune285.0ms (1.5%)

localize25.0ms (0.1%)

rewrite53.0ms (0.3%)

series1.5s (7.9%)

simplify140.0ms (0.7%)

prune202.0ms (1.1%)

localize29.0ms (0.2%)

rewrite93.0ms (0.5%)

series2.1s (11.4%)

simplify132.0ms (0.7%)

prune262.0ms (1.4%)

regimes1.9s (10.2%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample6.5s (34.6%)

Profiling