Details

analyze20.0ms (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)

sample53.0ms (1%)

Algorithm

1×

intervals

Results

16.0ms	55×	body	1024	valid
11.0ms	150×	body	128	valid
6.0ms	27×	body	512	valid
5.0ms	256×	pre	128	true
4.0ms	24×	body	256	valid

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify103.0ms (1.9%)

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)

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

rewrite19.0ms (0.3%)

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

6 calls:

6.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
4.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (sin.f64 v))
0.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.0ms	(*.f64 e (sin.f64 v))

series268.0ms (5%)

Counts

3 → 23

Calls

3 calls:

138.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
68.0ms	(*.f64 e (sin.f64 v))
62.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 585 to 460 computations (21.4% saved)

simplify88.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4954	1070
1	4954	1070

prune101.0ms (1.9%)

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 1379 to 560 computations (59.4% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

7.4b	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.1b	(*.f64 e (sin.f64 v))
0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
0.1b	(*.f64 e (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))
7.4b	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_1101`
15×	`add-sqr-sqrt_binary64_1123`
13×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
11×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
6×	`associate-r_binary64_1041` `associate-l_binary64_1042`
5×	`add-log-exp_binary64_1140` `times-frac_binary64_1107` `log-pow_binary64_1190` `associate-/r*_binary64_1045`
4×	`distribute-lft-out_binary64_1052`
3×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `log-prod_binary64_1187`
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` `rem-log-exp_binary64_1142` `clear-num_binary64_1100` `exp-prod_binary64_1153` `flip3-+_binary64_1104` `div-inv_binary64_1098` `associate-/l*_binary64_1046` `flip-+_binary64_1075` `exp-to-pow_binary64_1163`

Counts

4 → 77

Calls

8 calls:

8.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
4.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (sin.f64 v))
2.0ms	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))
0.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))

series631.0ms (11.6%)

Counts

4 → 29

Calls

4 calls:

325.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
179.0ms	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))
69.0ms	(*.f64 e (sin.f64 v))
57.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 829 to 668 computations (19.4% saved)

simplify91.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4953	1290
1	4953	1290

prune80.0ms (1.5%)

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 1821 to 686 computations (62.3% saved)

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

rewrite35.0ms (0.6%)

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

6 calls:

10.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
9.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
4.0ms	(*.f64 e (cos.f64 v))
0.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
0.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))

series359.0ms (6.6%)

Counts

3 → 26

Calls

3 calls:

157.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
137.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
64.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 632 to 489 computations (22.6% saved)

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5050	3434

prune153.0ms (2.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	1	6	7
Picked	0	1	1
Done	1	0	1
Total	143	9	152

Error

0.0b

Counts

152 → 9

Compiler

Compiled 2934 to 1221 computations (58.4% saved)

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

rewrite26.0ms (0.5%)

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-l_binary64_1042`
12×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
7×	`pow1_binary64_1162`
6×	`associate-r_binary64_1041`
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-*l/_binary64_1044`

Counts

3 → 81

Calls

6 calls:

10.0ms	(.f64 (/.f64 e (+.f64 (.f64 e (cos.f64 v)) 1)) (sin.f64 v))
6.0ms	(/.f64 e (+.f64 (*.f64 e (cos.f64 v)) 1))
4.0ms	(*.f64 e (cos.f64 v))
0.0ms	(/.f64 e (+.f64 (*.f64 e (cos.f64 v)) 1))
0.0ms	(.f64 (/.f64 e (+.f64 (.f64 e (cos.f64 v)) 1)) (sin.f64 v))

series287.0ms (5.3%)

Counts

3 → 25

Calls

3 calls:

137.0ms	(.f64 (/.f64 e (+.f64 (.f64 e (cos.f64 v)) 1)) (sin.f64 v))
83.0ms	(/.f64 e (+.f64 (*.f64 e (cos.f64 v)) 1))
66.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 607 to 480 computations (20.9% saved)

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5145	1774

prune86.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	107	8	115

Error

0.0b

Counts

115 → 8

Compiler

Compiled 1810 to 770 computations (57.5% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	216	794
1	216	794

regimes172.0ms (3.2%)

Compiler: Compiled 1544 to 1151 computations (25.5% saved)

bsearch0.0ms (0%)

regimes39.0ms (0.7%)

Compiler: Compiled 190 to 176 computations (7.4% saved)

bsearch0.0ms (0%)

regimes36.0ms (0.7%)

Compiler: Compiled 146 to 142 computations (2.7% saved)

bsearch0.0ms (0%)

regimes32.0ms (0.6%)

Compiler: Compiled 124 to 124 computations (0% saved)

bsearch0.0ms (0%)

regimes30.0ms (0.5%)

Compiler: Compiled 108 to 110 computations (-1.9% saved)

bsearch0.0ms (0%)

regimes28.0ms (0.5%)

Compiler: Compiled 92 to 96 computations (-4.3% saved)

bsearch0.0ms (0%)

regimes21.0ms (0.4%)

Compiler: Compiled 72 to 76 computations (-5.6% saved)

bsearch0.0ms (0%)

regimes21.0ms (0.4%)

Compiler: Compiled 38 to 50 computations (-31.6% saved)

bsearch0.0ms (0%)

regimes18.0ms (0.3%)

Accuracy

Total 0.1b remaining (91.1%)

Threshold costs 0.1b (91.1%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 79 to 70 computations (11.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	118
1	42	118

end0.0ms (0%)

sample2.4s (44.1%)

Algorithm

1×

intervals

Results

612.0ms	1979×	body	1024	valid
345.0ms	4464×	body	128	valid
240.0ms	1045×	body	512	valid
163.0ms	8000×	pre	128	true
77.0ms	504×	body	256	valid
4.0ms	8×	body	2048	valid

Compiler

Compiled 600 to 459 computations (23.5% saved)

Pareto

0.6932377464232875

Details

analyze20.0ms (0.4%)

sample53.0ms (1%)

simplify103.0ms (1.9%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite19.0ms (0.3%)

series268.0ms (5%)

simplify88.0ms (1.6%)

prune101.0ms (1.9%)

localize13.0ms (0.2%)

rewrite23.0ms (0.4%)

series631.0ms (11.6%)

simplify91.0ms (1.7%)

prune80.0ms (1.5%)

localize9.0ms (0.2%)

rewrite35.0ms (0.6%)

series359.0ms (6.6%)

simplify77.0ms (1.4%)

prune153.0ms (2.8%)

localize9.0ms (0.2%)

rewrite26.0ms (0.5%)

series287.0ms (5.3%)

simplify67.0ms (1.2%)

prune86.0ms (1.6%)

simplify14.0ms (0.3%)

regimes172.0ms (3.2%)

bsearch0.0ms (0%)

regimes39.0ms (0.7%)

bsearch0.0ms (0%)

regimes36.0ms (0.7%)

bsearch0.0ms (0%)

regimes32.0ms (0.6%)

bsearch0.0ms (0%)

regimes30.0ms (0.5%)

bsearch0.0ms (0%)

regimes28.0ms (0.5%)

bsearch0.0ms (0%)

regimes21.0ms (0.4%)

bsearch0.0ms (0%)

regimes21.0ms (0.4%)

bsearch0.0ms (0%)

regimes18.0ms (0.3%)

bsearch7.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.4s (44.1%)

Profiling