Details

analyze1.8s (23.7%)

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
12.5%	87.4%	0.1%	7
12.5%	87.4%	0.1%	8
31.2%	68.6%	0.1%	9
31.2%	68.6%	0.1%	10
31.2%	68.6%	0.1%	11
40.6%	59.3%	0.1%	12
40.6%	59.3%	0.1%	13
40.6%	59.3%	0.1%	14

Compiler

Compiled 31 to 19 computations (38.7% saved)

sample121.0ms (1.6%)

Algorithm

1×

intervals

Results

58.0ms	65×	body	1024	valid
28.0ms	148×	body	128	valid
20.0ms	34×	body	512	valid
3.0ms	9×	body	256	valid

Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify321.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (226.0ms)

Iter	Nodes	Cost
0	1604	50
1	1604	50

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 60 to 36 computations (40% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (neg.f64 eh) (tan.f64 t))
4.4b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
4.4b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.5b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
14×	`add-sqr-sqrt_binary64_1123`
12×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
10×	`associate-l_binary64_1042`
6×	`pow1_binary64_1162` `times-frac_binary64_1107` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `distribute-lft-neg-out_binary64_1060`
3×	`distribute-rgt-neg-in_binary64_1059` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-frac-neg_binary64_1064` `associate-r/_binary64_1043` `distribute-lft-neg-in_binary64_1058` `associate-r*_binary64_1041` `tan-quot_binary64_1260`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `div-inv_binary64_1098` `associate-/l*_binary64_1046`
1×	`*-commutative_binary64_1032` `cos-atan_binary64_1280` `neg-mul-1_binary64_1097` `pow-prod-down_binary64_1172` `atan-neg_binary64_1285` `unswap-sqr_binary64_1069` `cos-neg_binary64_1232`

Counts

4 → 82

Calls

4 calls:

7.0ms	(*.f64 (neg.f64 eh) (tan.f64 t))
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

series356.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

117.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
111.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
70.0ms	(*.f64 (neg.f64 eh) (tan.f64 t))
59.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5004	1195

prune103.0ms (1.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	1	95

Error

0.1b

Counts

95 → 1

Compiler

Compiled 3209 to 595 computations (81.5% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew))) 3))
4.4b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
4.4b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.5b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
12×	`cbrt-prod_binary64_1132`
11×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
6×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140` `pow1_binary64_1162` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
3×	`cube-prod_binary64_1129` `unpow-prod-down_binary64_1180` `distribute-frac-neg_binary64_1064` `distribute-lft-neg-out_binary64_1060`
2×	`cos-atan_binary64_1280` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-r/_binary64_1043` `div-inv_binary64_1098` `associate-/l_binary64_1046` `tan-quot_binary64_1260`
1×	`cube-mult_binary64_1131` `pow1/3_binary64_1183` `cube-div_binary64_1130` `unpow3_binary64_1167` `atan-neg_binary64_1285` `sqr-pow_binary64_1073` `cbrt-div_binary64_1133` `cos-neg_binary64_1232` `rem-cbrt-cube_binary64_1125`

Counts

4 → 77

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
3.0ms	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew))) 3))
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

series340.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

118.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
111.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
56.0ms	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew))) 3))
54.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5399	1484

prune108.0ms (1.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	1	90

Error

0.1b

Counts

90 → 1

Compiler

Compiled 3294 to 743 computations (77.4% saved)

regimes98.0ms (1.3%)

Accuracy

Total 0.0b remaining (2.6%)

Threshold costs 0.0b (2.6%)

Compiler

Compiled 904 to 608 computations (32.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	91	55
1	91	55

end0.0ms (0%)

sample4.0s (53.7%)

Algorithm

1×

intervals

Results

2.0s	2030×	body	1024	valid
718.0ms	4441×	body	128	valid
576.0ms	1009×	body	512	valid
189.0ms	514×	body	256	valid
8.0ms	6×	body	2048	valid

Compiler

Compiled 220 to 147 computations (33.2% saved)

Details

analyze1.8s (23.7%)

sample121.0ms (1.6%)

simplify321.0ms (4.3%)

prune4.0ms (0.1%)

localize26.0ms (0.4%)

rewrite29.0ms (0.4%)

series356.0ms (4.8%)

simplify58.0ms (0.8%)

prune103.0ms (1.4%)

localize25.0ms (0.3%)

rewrite25.0ms (0.3%)

series340.0ms (4.6%)

simplify61.0ms (0.8%)

prune108.0ms (1.4%)

regimes98.0ms (1.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.0s (53.7%)

Profiling