Details

analyze115.0ms (1.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	34
1	43	34
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample58.0ms (0.9%)

Algorithm

1×

intervals

Results

22.0ms	75×	body	1024	valid
10.0ms	139×	body	128	valid
5.0ms	27×	body	512	valid
5.0ms	256×	pre	128	true
2.0ms	15×	body	256	valid

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

prune2.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.1b	(*.f64 e (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))

rewrite80.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_1123`
12×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
7×	`pow1_binary64_1162`
6×	`associate-l_binary64_1042` `associate-r_binary64_1041`
3×	`prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `times-frac_binary64_1107` `associate-/r*_binary64_1045`
2×	`pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r/_binary64_1047`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/l*_binary64_1046`

Counts

3 → 59

Calls

3 calls:

8.0ms	(*.f64 e (sin.f64 v))
6.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1067 to 388 computations (63.6% saved)

series287.0ms (4.5%)

Error

0.2b

Counts

3 → 23

Calls

3 calls:

134.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
70.0ms	(*.f64 e (sin.f64 v))
67.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 887 to 581 computations (34.5% saved)

simplify84.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4954	1070
1	4954	1070

prune79.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	73	9	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	9	83

Error

0.0b

Counts

83 → 9

Compiler

Compiled 1380 to 560 computations (59.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 e e) (pow.f64 (cos.f64 v) 2))
0.1b	(*.f64 e (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(pow.f64 (cos.f64 v) 2)

rewrite115.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-exp-log_binary64_1139`
18×	`add-sqr-sqrt_binary64_1123`
14×	`associate-r_binary64_1041`
13×	`add-cbrt-cube_binary64_1137`
12×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
11×	`prod-exp_binary64_1150`
9×	`pow1_binary64_1162`
7×	`unpow-prod-down_binary64_1180` `associate-l_binary64_1042`
6×	`unswap-sqr_binary64_1069`
5×	`cbrt-unprod_binary64_1134`
4×	`add-log-exp_binary64_1140`
3×	`pow-unpow_binary64_1178` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `unpow2_binary64_1166` `sqr-pow_binary64_1073` `pow-prod-down_binary64_1172` `*-commutative_binary64_1032`
1×	`pow-pow_binary64_1173` `pow2_binary64_1182`

Counts

4 → 84

Calls

4 calls:

8.0ms	(.f64 (.f64 e e) (pow.f64 (cos.f64 v) 2))
4.0ms	(*.f64 e (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))
3.0ms	(pow.f64 (cos.f64 v) 2)

Compiler

Compiled 2318 to 1025 computations (55.8% saved)

series302.0ms (4.7%)

Error

0.0b

Counts

4 → 22

Calls

4 calls:

112.0ms	(.f64 (.f64 e e) (pow.f64 (cos.f64 v) 2))
74.0ms	(*.f64 e (sin.f64 v))
71.0ms	(*.f64 e (cos.f64 v))
22.0ms	(pow.f64 (cos.f64 v) 2)

Compiler

Compiled 1444 to 940 computations (34.9% saved)

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5082	879

prune112.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	106	9	115

Error

0.0b

Counts

115 → 9

Compiler

Compiled 2693 to 1163 computations (56.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))

rewrite150.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

84×	`times-frac_binary64_1107`
57×	`add-sqr-sqrt_binary64_1123`
55×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
16×	`associate-/r*_binary64_1045`
12×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
6×	`div-inv_binary64_1098` `associate-/l*_binary64_1046`
5×	`pow1_binary64_1162`
4×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
3×	`add-log-exp_binary64_1140` `associate-l_binary64_1042` `associate-r_binary64_1041`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048`
1×	`associate-/r/_binary64_1047` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `flip3-+_binary64_1104` `flip-+_binary64_1075`

Counts

3 → 117

Calls

3 calls:

9.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
7.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 2692 to 1120 computations (58.4% saved)

series378.0ms (5.9%)

Error

0.0b

Counts

3 → 26

Calls

3 calls:

157.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
135.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
68.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 965 to 629 computations (34.8% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5050	3434

prune141.0ms (2.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	139	4	143
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	143	9	152

Error

0.0b

Counts

152 → 9

Compiler

Compiled 2926 to 1193 computations (59.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (sqrt.f64 e) (+.f64 1 (*.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.3b	(*.f64 (sin.f64 v) (sqrt.f64 e))
0.3b	(.f64 (/.f64 (sqrt.f64 e) (+.f64 1 (.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) (sqrt.f64 e)))

rewrite160.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`add-sqr-sqrt_binary64_1123`
37×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
36×	`times-frac_binary64_1107`
30×	`associate-l_binary64_1042`
25×	`sqrt-prod_binary64_1117`
22×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
13×	`pow1_binary64_1162`
10×	`associate-r_binary64_1041`
8×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
6×	`associate-/l*_binary64_1046`
5×	`pow-prod-down_binary64_1172`
4×	`add-log-exp_binary64_1140` `associate-/r/_binary64_1047`
3×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `-commutative_binary64_1032` `unswap-sqr_binary64_1069` `associate-/r_binary64_1045`
2×	`div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075`
1×	`associate-*l/_binary64_1044` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

4 → 125

Calls

4 calls:

13.0ms	(.f64 (/.f64 (sqrt.f64 e) (+.f64 1 (.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) (sqrt.f64 e)))
5.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
5.0ms	(/.f64 (sqrt.f64 e) (+.f64 1 (*.f64 e (cos.f64 v))))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 3143 to 1073 computations (65.9% saved)

series394.0ms (6.1%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

147.0ms	(.f64 (/.f64 (sqrt.f64 e) (+.f64 1 (.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) (sqrt.f64 e)))
100.0ms	(/.f64 (sqrt.f64 e) (+.f64 1 (*.f64 e (cos.f64 v))))
69.0ms	(*.f64 e (cos.f64 v))
58.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))

Compiler

Compiled 1430 to 911 computations (36.3% saved)

simplify101.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4998	2716
1	4998	2716

prune138.0ms (2.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	154	9	163

Error

Counts

163 → 9

Compiler

Compiled 3167 to 1108 computations (65% saved)

regimes402.0ms (6.3%)

Accuracy

Total 0.1b remaining (97%)

Threshold costs 0.1b (97%)

Compiler

Compiled 4070 to 2831 computations (30.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	34
1	72	34

end0.0ms (0%)

sample3.1s (48.8%)

Algorithm

1×

intervals

Results

605.0ms	1993×	body	1024	valid
317.0ms	4487×	body	128	valid
231.0ms	1015×	body	512	valid
162.0ms	8000×	pre	128	true
71.0ms	502×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 1362 to 950 computations (30.2% saved)

Details

analyze115.0ms (1.8%)

sample58.0ms (0.9%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite80.0ms (1.2%)

series287.0ms (4.5%)

simplify84.0ms (1.3%)

prune79.0ms (1.2%)

localize14.0ms (0.2%)

rewrite115.0ms (1.8%)

series302.0ms (4.7%)

simplify64.0ms (1%)

prune112.0ms (1.7%)

localize8.0ms (0.1%)

rewrite150.0ms (2.3%)

series378.0ms (5.9%)

simplify76.0ms (1.2%)

prune141.0ms (2.2%)

localize10.0ms (0.2%)

rewrite160.0ms (2.5%)

series394.0ms (6.1%)

simplify101.0ms (1.6%)

prune138.0ms (2.1%)

regimes402.0ms (6.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.1s (48.8%)

Profiling