Details

analyze2.1s (23%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5205	200
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
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)

sample116.0ms (1.2%)

Algorithm

1×

intervals

Results

50.0ms	58×	body	1024	valid
22.0ms	140×	body	128	valid
21.0ms	36×	body	512	valid
8.0ms	22×	body	256	valid

Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify237.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (227.0ms)

Iter	Nodes	Cost
0	1604	50
1	1604	50

prune4.0ms (0%)

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)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (neg.f64 eh) (tan.f64 t))
2.8b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.8b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
20.6b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite124.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

4 → 82

Calls

4 calls:

6.0ms	(*.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)))

Compiler

Compiled 2928 to 592 computations (79.8% saved)

series982.0ms (10.6%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

311.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
310.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
176.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
148.0ms	(*.f64 (neg.f64 eh) (tan.f64 t))

Compiler

Compiled 3274 to 1838 computations (43.9% saved)

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4973	1490
1	4973	1490

prune121.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	2	116

Error

0.1b

Counts

116 → 2

Compiler

Compiled 3875 to 606 computations (84.4% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.8b	(/.f64 (*.f64 eh (tan.f64 t)) ew)
2.8b	(/.f64 (*.f64 eh (tan.f64 t)) ew)
20.6b	(cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))
20.6b	(cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))

rewrite110.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
8×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
6×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
4×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
2×	`cos-atan_binary64_1280` `atan-neg_binary64_1285` `cos-neg_binary64_1232` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `tan-quot_binary64_1260` `associate-r/_binary64_1043` `associate-/l/_binary64_1048` `associate-/l_binary64_1046`

Counts

4 → 62

Calls

4 calls:

6.0ms	(/.f64 (*.f64 eh (tan.f64 t)) ew)
5.0ms	(/.f64 (*.f64 eh (tan.f64 t)) ew)
2.0ms	(cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))
2.0ms	(cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))

Compiler

Compiled 2994 to 509 computations (83% saved)

series979.0ms (10.6%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

295.0ms	(/.f64 (*.f64 eh (tan.f64 t)) ew)
292.0ms	(/.f64 (*.f64 eh (tan.f64 t)) ew)
181.0ms	(cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))
175.0ms	(cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))

Compiler

Compiled 4706 to 2119 computations (55% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4974	1328
1	4974	1328

prune117.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	2	100

Error

0.1b

Counts

100 → 2

Compiler

Compiled 4426 to 480 computations (89.2% saved)

regimes169.0ms (1.8%)

Accuracy

Total 0.0b remaining (1.9%)

Threshold costs 0.0b (1.9%)

Compiler

Compiled 2129 to 1278 computations (40% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	88	50
1	88	50

end0.0ms (0%)

sample4.0s (42.9%)

Algorithm

1×

intervals

Results

1.8s	1951×	body	1024	valid
727.0ms	4560×	body	128	valid
590.0ms	989×	body	512	valid
186.0ms	490×	body	256	valid
20.0ms	10×	body	2048	valid

Compiler

Compiled 462 to 278 computations (39.8% saved)

Details

analyze2.1s (23%)

sample116.0ms (1.2%)

simplify237.0ms (2.6%)

prune4.0ms (0%)

localize22.0ms (0.2%)

rewrite124.0ms (1.3%)

series982.0ms (10.6%)

simplify76.0ms (0.8%)

prune121.0ms (1.3%)

localize33.0ms (0.4%)

rewrite110.0ms (1.2%)

series979.0ms (10.6%)

simplify72.0ms (0.8%)

prune117.0ms (1.3%)

regimes169.0ms (1.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.0s (42.9%)

Profiling