Details

analyze17.0ms (0.4%)

Algorithm

1×

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 (1.2%)

Algorithm

1×

intervals

Results

15.0ms	56×	body	1024	valid
15.0ms	47×	body	512	valid
9.0ms	141×	body	128	valid
5.0ms	256×	pre	128	true
2.0ms	12×	body	256	valid

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify92.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

prune2.0ms (0.1%)

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 (0.2%)

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))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

7.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
5.0ms	(*.f64 e (cos.f64 v))
5.0ms	(*.f64 e (sin.f64 v))

series302.0ms (6.6%)

Counts

3 → 23

Calls

3 calls:

130.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
86.0ms	(*.f64 e (cos.f64 v))
85.0ms	(*.f64 e (sin.f64 v))

Compiler

Compiled 617 to 492 computations (20.3% saved)

simplify68.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4963	1094
1	4963	1094

prune71.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	5	83

Error

0.0b

Counts

83 → 5

Compiler

Compiled 1319 to 531 computations (59.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_1123`
21×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
19×	`times-frac_binary64_1107`
18×	`associate-r_binary64_1041`
12×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
7×	`pow1_binary64_1162`
6×	`associate-l_binary64_1042`
4×	`associate-/r/_binary64_1047`
3×	`cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `associate-/l_binary64_1046` `unswap-sqr_binary64_1069` `associate-/r_binary64_1045`
2×	`*-commutative_binary64_1032` `flip3-+_binary64_1104` `div-inv_binary64_1098` `pow-prod-down_binary64_1172` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `flip-+_binary64_1075`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-*r/_binary64_1043`

Counts

3 → 81

Calls

3 calls:

11.0ms	(.f64 e (/.f64 (sin.f64 v) (+.f64 (.f64 e (cos.f64 v)) 1)))
6.0ms	(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1))
4.0ms	(*.f64 e (cos.f64 v))

series348.0ms (7.6%)

Counts

3 → 26

Calls

3 calls:

147.0ms	(.f64 e (/.f64 (sin.f64 v) (+.f64 (.f64 e (cos.f64 v)) 1)))
116.0ms	(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1))
85.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 750 to 583 computations (22.3% saved)

simplify98.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4945	1962
1	4945	1962

prune90.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	106	6	112

Error

0.0b

Counts

112 → 6

Compiler

Compiled 1963 to 876 computations (55.4% saved)

localize8.0ms (0.2%)

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)))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_1107`
57×	`add-sqr-sqrt_binary64_1123`
55×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
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-r_binary64_1041` `associate-l_binary64_1042`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `flip3-+_binary64_1104` `associate-/r/_binary64_1047` `pow-prod-down_binary64_1172` `flip-+_binary64_1075` `unswap-sqr_binary64_1069`

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))

series439.0ms (9.6%)

Counts

3 → 26

Calls

3 calls:

217.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
139.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
82.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 672 to 529 computations (21.3% saved)

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5060	3464

prune127.0ms (2.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	142	7	149

Error

0.0b

Counts

149 → 7

Compiler

Compiled 2890 to 1210 computations (58.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(*.f64 (sqrt.f64 e) (sin.f64 v))
0.3b	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

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

series379.0ms (8.3%)

Counts

4 → 30

Calls

4 calls:

142.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
89.0ms	(*.f64 e (cos.f64 v))
86.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))
62.0ms	(*.f64 (sqrt.f64 e) (sin.f64 v))

Compiler

Compiled 968 to 745 computations (23% saved)

simplify76.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4978	1525
1	4978	1525

prune83.0ms (1.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	115	8	123

Error

0.0b

Counts

123 → 8

Compiler

Compiled 2018 to 693 computations (65.7% saved)

regimes141.0ms (3.1%)

Accuracy

Total 0.1b remaining (93%)

Threshold costs 0.1b (93%)

Compiler

Compiled 1292 to 950 computations (26.5% 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%)

sample2.0s (42.9%)

Algorithm

1×

intervals

Results

578.0ms	2015×	body	1024	valid
304.0ms	4479×	body	128	valid
194.0ms	1006×	body	512	valid
150.0ms	8000×	pre	128	true
70.0ms	493×	body	256	valid
3.0ms	7×	body	2048	valid

Compiler

Compiled 448 to 331 computations (26.1% saved)

Details

analyze17.0ms (0.4%)

sample54.0ms (1.2%)

simplify92.0ms (2%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite20.0ms (0.4%)

series302.0ms (6.6%)

simplify68.0ms (1.5%)

prune71.0ms (1.6%)

localize8.0ms (0.2%)

rewrite31.0ms (0.7%)

series348.0ms (7.6%)

simplify98.0ms (2.1%)

prune90.0ms (2%)

localize8.0ms (0.2%)

rewrite30.0ms (0.7%)

series439.0ms (9.6%)

simplify75.0ms (1.6%)

prune127.0ms (2.8%)

localize10.0ms (0.2%)

rewrite35.0ms (0.8%)

series379.0ms (8.3%)

simplify76.0ms (1.7%)

prune83.0ms (1.8%)

regimes141.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.0s (42.9%)

Profiling