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)

sample56.0ms (0.9%)

Algorithm

1×

intervals

Results

21.0ms	60×	body	1024	valid
10.0ms	151×	body	128	valid
5.0ms	27×	body	512	valid
4.0ms	256×	pre	128	true
2.0ms	18×	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

0.1b

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 (cos.f64 v))
0.1b	(*.f64 e (sin.f64 v))

rewrite68.0ms (1.1%)

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:

6.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
5.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (sin.f64 v))

Compiler

Compiled 1067 to 388 computations (63.6% saved)

series333.0ms (5.3%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

160.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
73.0ms	(*.f64 e (sin.f64 v))
70.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1338 to 922 computations (31.1% saved)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4963	1464
1	4963	1464

prune85.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	80	6	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	7	87

Error

0.0b

Counts

87 → 7

Compiler

Compiled 1624 to 733 computations (54.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite144.0ms (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` `flip3-+_binary64_1104` `flip-+_binary64_1075` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032`

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)

series405.0ms (6.4%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

167.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
152.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
59.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1449 to 997 computations (31.2% saved)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5196	3861

prune140.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	148	6	154

Error

0.0b

Counts

154 → 6

Compiler

Compiled 3182 to 1370 computations (56.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite177.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`times-frac_binary64_1107`
47×	`add-sqr-sqrt_binary64_1123`
41×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
28×	`sqrt-prod_binary64_1117`
22×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-r*_binary64_1041`
8×	`pow1_binary64_1162` `associate-/r*_binary64_1045`
7×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
6×	`associate-l_binary64_1042`
4×	`prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134`
3×	`unswap-sqr_binary64_1069`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `pow-prod-down_binary64_1172` `*-commutative_binary64_1032` `associate-/l/_binary64_1048`
1×	`associate-/r/_binary64_1047` `flip3-+_binary64_1104` `flip-+_binary64_1075`

Counts

4 → 135

Calls

4 calls:

10.0ms	(/.f64 (sqrt.f64 e) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) (sqrt.f64 e))))
9.0ms	(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) (sqrt.f64 e)))
9.0ms	(*.f64 e (cos.f64 v))
5.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))

Compiler

Compiled 3488 to 1191 computations (65.9% saved)

series474.0ms (7.5%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

168.0ms	(/.f64 (sqrt.f64 e) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) (sqrt.f64 e))))
140.0ms	(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) (sqrt.f64 e)))
67.0ms	(*.f64 e (cos.f64 v))
59.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))

Compiler

Compiled 2172 to 1452 computations (33.1% saved)

simplify106.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4947	4412
1	4947	4412

prune154.0ms (2.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	170	7	177

Error

Counts

177 → 7

Compiler

Compiled 3972 to 1544 computations (61.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 e))
0.2b	(*.f64 (sin.f64 v) (sqrt.f64 e))
0.3b	(.f64 (/.f64 (sqrt.f64 (sqrt.f64 e)) (+.f64 (.f64 e (cos.f64 v)) 1)) (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 (sqrt.f64 e))))
0.3b	(.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 (sqrt.f64 e)))

rewrite176.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

50×	`sqrt-prod_binary64_1117`
37×	`add-sqr-sqrt_binary64_1123` `associate-l_binary64_1042`
32×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
31×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
27×	`times-frac_binary64_1107`
22×	`pow1_binary64_1162`
16×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-r_binary64_1041`
10×	`pow-prod-down_binary64_1172`
4×	`add-log-exp_binary64_1140` `sqrt-pow1_binary64_1119`
3×	`*-commutative_binary64_1032` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
2×	`associate-/r/_binary64_1047` `unswap-sqr_binary64_1069` `pow1/2_binary64_1181` `rem-sqrt-square_binary64_1114`
1×	`associate-*l/_binary64_1044` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075`

Counts

4 → 123

Calls

4 calls:

25.0ms	(.f64 (/.f64 (sqrt.f64 (sqrt.f64 e)) (+.f64 (.f64 e (cos.f64 v)) 1)) (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 (sqrt.f64 e))))
10.0ms	(.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 (sqrt.f64 e)))
6.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
2.0ms	(sqrt.f64 (sqrt.f64 e))

Compiler

Compiled 3762 to 1027 computations (72.7% saved)

series491.0ms (7.8%)

Error

Counts

4 → 31

Calls

4 calls:

190.0ms	(.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 (sqrt.f64 e)))
162.0ms	(.f64 (/.f64 (sqrt.f64 (sqrt.f64 e)) (+.f64 (.f64 e (cos.f64 v)) 1)) (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 (sqrt.f64 e))))
61.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
45.0ms	(sqrt.f64 (sqrt.f64 e))

Compiler

Compiled 2046 to 1362 computations (33.4% saved)

simplify112.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4956	2917
1	4956	2917

prune148.0ms (2.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	154	7	161

Error

Counts

161 → 7

Compiler

Compiled 3759 to 1425 computations (62.1% saved)

regimes295.0ms (4.7%)

Accuracy

Total 0.1b remaining (96.6%)

Threshold costs 0.1b (96.6%)

Compiler

Compiled 3266 to 2210 computations (32.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	14	17

end0.0ms (0%)

sample2.7s (42.2%)

Algorithm

1×

intervals

Results

576.0ms	1953×	body	1024	valid
309.0ms	4501×	body	128	valid
210.0ms	997×	body	512	valid
166.0ms	8000×	pre	128	true
75.0ms	545×	body	256	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 1106 to 751 computations (32.1% saved)

Details

analyze115.0ms (1.8%)

sample56.0ms (0.9%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite68.0ms (1.1%)

series333.0ms (5.3%)

simplify58.0ms (0.9%)

prune85.0ms (1.3%)

localize8.0ms (0.1%)

rewrite144.0ms (2.3%)

series405.0ms (6.4%)

simplify69.0ms (1.1%)

prune140.0ms (2.2%)

localize11.0ms (0.2%)

rewrite177.0ms (2.8%)

series474.0ms (7.5%)

simplify106.0ms (1.7%)

prune154.0ms (2.4%)

localize12.0ms (0.2%)

rewrite176.0ms (2.8%)

series491.0ms (7.8%)

simplify112.0ms (1.8%)

prune148.0ms (2.3%)

regimes295.0ms (4.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (42.2%)

Profiling