Details

analyze109.0ms (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 (1%)

Algorithm

1×

intervals

Results

17.0ms	62×	body	1024	valid
13.0ms	134×	body	128	valid
8.0ms	41×	body	512	valid
4.0ms	256×	pre	128	true
3.0ms	19×	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

0.2b

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))))
0.2b	(*.f64 e (cos.f64 v))
0.2b	(*.f64 e (sin.f64 v))

rewrite72.0ms (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:

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

Compiler

Compiled 1067 to 388 computations (63.6% saved)

series335.0ms (5.7%)

Error

0.2b

Counts

3 → 27

Calls

3 calls:

178.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
68.0ms	(*.f64 e (sin.f64 v))
57.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1338 to 922 computations (31.1% saved)

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4963	1464
1	4963	1464

prune90.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	77	9	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	9	87

Error

0.0b

Counts

87 → 9

Compiler

Compiled 1651 to 758 computations (54.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 v)) (cbrt.f64 (cos.f64 v)))
0.3b	(cbrt.f64 (cos.f64 v))
0.3b	(cbrt.f64 (cos.f64 v))
0.3b	(cbrt.f64 (cos.f64 v))

rewrite85.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_1132`
23×	`add-sqr-sqrt_binary64_1123`
15×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
11×	`pow1_binary64_1162`
9×	`pow1/3_binary64_1183`
6×	`add-exp-log_binary64_1139` `swap-sqr_binary64_1068` `associate-l_binary64_1042` `associate-r_binary64_1041`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
2×	`pow-prod-down_binary64_1172` `pow-prod-up_binary64_1171` `pow-sqr_binary64_1074`
1×	`pow2_binary64_1182` `pow-plus_binary64_1164` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 v)) (cbrt.f64 (cos.f64 v)))
1.0ms	(cbrt.f64 (cos.f64 v))
1.0ms	(cbrt.f64 (cos.f64 v))
1.0ms	(cbrt.f64 (cos.f64 v))

Compiler

Compiled 1876 to 513 computations (72.7% saved)

series261.0ms (4.4%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

77.0ms	(*.f64 (cbrt.f64 (cos.f64 v)) (cbrt.f64 (cos.f64 v)))
62.0ms	(cbrt.f64 (cos.f64 v))
59.0ms	(cbrt.f64 (cos.f64 v))
53.0ms	(cbrt.f64 (cos.f64 v))

Compiler

Compiled 720 to 445 computations (38.2% saved)

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4825	700
1	4825	700

prune83.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	85	9	94

Error

0.0b

Counts

94 → 9

Compiler

Compiled 2020 to 685 computations (66.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite146.0ms (2.5%)

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)

series417.0ms (7.1%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

170.0ms	(/.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)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5196	3861

prune148.0ms (2.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	146	10	156

Error

0.0b

Counts

156 → 10

Compiler

Compiled 3219 to 1407 computations (56.3% saved)

localize11.0ms (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))))
0.2b	(*.f64 e (cos.f64 v))
0.3b	(*.f64 (sin.f64 v) (sqrt.f64 e))
0.3b	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))

rewrite110.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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))))
9.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
5.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1959 to 554 computations (71.7% saved)

series401.0ms (6.8%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

177.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
65.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
63.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
60.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1938 to 1280 computations (34% saved)

simplify102.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4955	1949
1	4955	1949

prune100.0ms (1.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	122	10	132

Error

0.0b

Counts

132 → 10

Compiler

Compiled 2332 to 886 computations (62% saved)

regimes330.0ms (5.6%)

Accuracy

Total 0.1b remaining (96.3%)

Threshold costs 0.1b (96.3%)

Compiler

Compiled 3282 to 2344 computations (28.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	33
1	18	33

end0.0ms (0%)

sample2.8s (47.3%)

Algorithm

1×

intervals

Results

544.0ms	1938×	body	1024	valid
326.0ms	4532×	body	128	valid
204.0ms	1017×	body	512	valid
167.0ms	8000×	pre	128	true
73.0ms	507×	body	256	valid
10.0ms	6×	body	2048	valid

Compiler

Compiled 1105 to 786 computations (28.9% saved)

Details

analyze109.0ms (1.8%)

sample58.0ms (1%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite72.0ms (1.2%)

series335.0ms (5.7%)

simplify57.0ms (1%)

prune90.0ms (1.5%)

localize13.0ms (0.2%)

rewrite85.0ms (1.4%)

series261.0ms (4.4%)

simplify75.0ms (1.3%)

prune83.0ms (1.4%)

localize9.0ms (0.1%)

rewrite146.0ms (2.5%)

series417.0ms (7.1%)

simplify67.0ms (1.1%)

prune148.0ms (2.5%)

localize11.0ms (0.2%)

rewrite110.0ms (1.9%)

series401.0ms (6.8%)

simplify102.0ms (1.7%)

prune100.0ms (1.7%)

regimes330.0ms (5.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.8s (47.3%)

Profiling