Details

analyze119.0ms (1.9%)

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)

sample54.0ms (0.9%)

Algorithm

1×

intervals

Results

19.0ms	67×	body	1024	valid
10.0ms	151×	body	128	valid
5.0ms	24×	body	512	valid
4.0ms	256×	pre	128	true
2.0ms	14×	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

prune3.0ms (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)

localize9.0ms (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))

rewrite81.0ms (1.3%)

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:

10.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
5.0ms	(*.f64 e (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1067 to 388 computations (63.6% saved)

series341.0ms (5.6%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

174.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
73.0ms	(*.f64 e (sin.f64 v))
60.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1338 to 922 computations (31.1% saved)

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4963	1464
1	4963	1464

prune92.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	79	7	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	7	87

Error

0.0b

Counts

87 → 7

Compiler

Compiled 1626 to 741 computations (54.4% 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 (cos.f64 v))
0.1b	(*.f64 e (sin.f64 v))
0.3b	(pow.f64 (cos.f64 v) 2)

rewrite120.0ms (1.9%)

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))
5.0ms	(*.f64 e (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))
2.0ms	(pow.f64 (cos.f64 v) 2)

Compiler

Compiled 2318 to 1025 computations (55.8% saved)

series280.0ms (4.6%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

96.0ms	(.f64 (.f64 e e) (pow.f64 (cos.f64 v) 2))
72.0ms	(*.f64 e (sin.f64 v))
68.0ms	(*.f64 e (cos.f64 v))
20.0ms	(pow.f64 (cos.f64 v) 2)

Compiler

Compiled 1571 to 1021 computations (35% saved)

simplify89.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4897	932
1	4897	932

prune111.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	108	7	115

Error

0.0b

Counts

115 → 7

Compiler

Compiled 2733 to 1186 computations (56.6% 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)))

rewrite143.0ms (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:

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

series422.0ms (6.9%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

174.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
157.0ms	(/.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)

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5196	3861

prune144.0ms (2.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	146	8	154

Error

0.0b

Counts

154 → 8

Compiler

Compiled 3209 to 1389 computations (56.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(*.f64 (sin.f64 v) (sqrt.f64 e))
0.2b	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))

rewrite112.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
19×	`add-sqr-sqrt_binary64_1123`
13×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
12×	`associate-l_binary64_1042`
10×	`associate-r_binary64_1041`
8×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
7×	`sqrt-prod_binary64_1117`
5×	`pow-prod-down_binary64_1172`
4×	`add-log-exp_binary64_1140`
3×	`-commutative_binary64_1032` `unswap-sqr_binary64_1069` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `times-frac_binary64_1107` `associate-/r_binary64_1045`
2×	`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

4 → 86

Calls

4 calls:

10.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
8.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
6.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1959 to 554 computations (71.7% saved)

series395.0ms (6.4%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

169.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
67.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
63.0ms	(*.f64 e (cos.f64 v))
62.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))

Compiler

Compiled 1938 to 1280 computations (34% saved)

simplify102.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4955	1949
1	4955	1949

prune100.0ms (1.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	121	9	130

Error

Counts

130 → 9

Compiler

Compiled 2332 to 886 computations (62% saved)

regimes371.0ms (6%)

Accuracy

Total 0.1b remaining (96.7%)

Threshold costs 0.1b (96.7%)

Compiler

Compiled 4035 to 2726 computations (32.4% 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%)

sample2.9s (46.9%)

Algorithm

1×

intervals

Results

587.0ms	2001×	body	1024	valid
325.0ms	4508×	body	128	valid
205.0ms	981×	body	512	valid
150.0ms	8000×	pre	128	true
74.0ms	503×	body	256	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 1331 to 903 computations (32.2% saved)

Details

analyze119.0ms (1.9%)

sample54.0ms (0.9%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite81.0ms (1.3%)

series341.0ms (5.6%)

simplify59.0ms (1%)

prune92.0ms (1.5%)

localize14.0ms (0.2%)

rewrite120.0ms (1.9%)

series280.0ms (4.6%)

simplify89.0ms (1.4%)

prune111.0ms (1.8%)

localize8.0ms (0.1%)

rewrite143.0ms (2.3%)

series422.0ms (6.9%)

simplify66.0ms (1.1%)

prune144.0ms (2.4%)

localize12.0ms (0.2%)

rewrite112.0ms (1.8%)

series395.0ms (6.4%)

simplify102.0ms (1.7%)

prune100.0ms (1.6%)

regimes371.0ms (6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.9s (46.9%)

Profiling