Details

analyze30.0ms (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)

sample58.0ms (0.7%)

Algorithm

1×

intervals

Results

19.0ms	65×	body	1024	valid
10.0ms	134×	body	128	valid
7.0ms	37×	body	512	valid
5.0ms	256×	pre	128	true
3.0ms	20×	body	256	valid

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify129.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

prune5.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize17.0ms (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 (cos.f64 v))
0.2b	(*.f64 e (sin.f64 v))

rewrite100.0ms (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:

12.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
8.0ms	(*.f64 e (sin.f64 v))
8.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1067 to 388 computations (63.6% saved)

series310.0ms (3.8%)

Error

0.2b

Counts

3 → 23

Calls

3 calls:

154.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
73.0ms	(*.f64 e (sin.f64 v))
64.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 887 to 581 computations (34.5% saved)

simplify143.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4954	1070
1	4954	1070

prune113.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	74	8	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	8	83

Error

0.0b

Counts

83 → 8

Compiler

Compiled 1355 to 545 computations (59.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite296.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

83×	`add-sqr-sqrt_binary64_1123`
66×	`times-frac_binary64_1107`
49×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
36×	`sqrt-prod_binary64_1117`
30×	`associate-l_binary64_1042` `associate-r_binary64_1041`
22×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
11×	`unswap-sqr_binary64_1069`
10×	`pow1_binary64_1162`
6×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `sqrt-div_binary64_1118` `associate-/r/_binary64_1047` `associate-/r*_binary64_1045`
5×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
4×	`add-log-exp_binary64_1140`
3×	`pow-prod-down_binary64_1172` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `-commutative_binary64_1032` `associate-/l_binary64_1046`
1×	`frac-times_binary64_1111` `associate-l/_binary64_1044` `associate-r/_binary64_1043` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

4 → 154

Calls

4 calls:

27.0ms	(.f64 (/.f64 e (sqrt.f64 (+.f64 (.f64 e (cos.f64 v)) 1))) (/.f64 (sin.f64 v) (sqrt.f64 (+.f64 (*.f64 e (cos.f64 v)) 1))))
8.0ms	(/.f64 (sin.f64 v) (sqrt.f64 (+.f64 (*.f64 e (cos.f64 v)) 1)))
7.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 5035 to 2355 computations (53.2% saved)

series583.0ms (7.2%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

218.0ms	(/.f64 (sin.f64 v) (sqrt.f64 (+.f64 (*.f64 e (cos.f64 v)) 1)))
152.0ms	(.f64 (/.f64 e (sqrt.f64 (+.f64 (.f64 e (cos.f64 v)) 1))) (/.f64 (sin.f64 v) (sqrt.f64 (+.f64 (*.f64 e (cos.f64 v)) 1))))
102.0ms	(*.f64 e (cos.f64 v))
71.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1940 to 1261 computations (35% saved)

simplify128.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4974	4347
1	4974	4347

prune266.0ms (3.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	184	2	186
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	185	9	194

Error

0.0b

Counts

194 → 9

Compiler

Compiled 5072 to 2351 computations (53.6% 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))
0.1b	(*.f64 e (cos.f64 v))
0.3b	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))

rewrite232.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

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:

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

Compiler

Compiled 2692 to 1120 computations (58.4% saved)

series419.0ms (5.2%)

Error

0.0b

Counts

3 → 26

Calls

3 calls:

174.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
151.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
74.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 965 to 629 computations (34.8% saved)

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5050	3434

prune162.0ms (2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	2	5	7
Picked	0	1	1
Done	1	0	1
Total	143	9	152

Error

Counts

152 → 9

Compiler

Compiled 2949 to 1206 computations (59.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite124.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64_1123`
21×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
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×	`prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`pow-prod-down_binary64_1172` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `*-commutative_binary64_1032`
1×	`associate-*l/_binary64_1044` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

3 → 81

Calls

3 calls:

11.0ms	(.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))) (sin.f64 v))
8.0ms	(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
6.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1655 to 708 computations (57.2% saved)

series343.0ms (4.3%)

Error

Counts

3 → 25

Calls

3 calls:

156.0ms	(.f64 (/.f64 e (+.f64 1 (.f64 e (cos.f64 v)))) (sin.f64 v))
99.0ms	(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
69.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 934 to 631 computations (32.4% saved)

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5096	1774

prune106.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	106	9	115

Error

Counts

115 → 9

Compiler

Compiled 1810 to 754 computations (58.3% saved)

regimes535.0ms (6.6%)

Accuracy

Total 0.1b remaining (96.1%)

Threshold costs 0.1b (96.1%)

Compiler

Compiled 4289 to 2941 computations (31.4% 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%)

sample3.8s (46.9%)

Algorithm

1×

intervals

Results

729.0ms	2043×	body	1024	valid
390.0ms	4459×	body	128	valid
260.0ms	1022×	body	512	valid
197.0ms	8000×	pre	128	true
77.0ms	471×	body	256	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 1415 to 974 computations (31.2% saved)

Details

analyze30.0ms (0.4%)

sample58.0ms (0.7%)

simplify129.0ms (1.6%)

prune5.0ms (0.1%)

localize17.0ms (0.2%)

rewrite100.0ms (1.2%)

series310.0ms (3.8%)

simplify143.0ms (1.8%)

prune113.0ms (1.4%)

localize15.0ms (0.2%)

rewrite296.0ms (3.7%)

series583.0ms (7.2%)

simplify128.0ms (1.6%)

prune266.0ms (3.3%)

localize9.0ms (0.1%)

rewrite232.0ms (2.9%)

series419.0ms (5.2%)

simplify79.0ms (1%)

prune162.0ms (2%)

localize8.0ms (0.1%)

rewrite124.0ms (1.5%)

series343.0ms (4.3%)

simplify78.0ms (1%)

prune106.0ms (1.3%)

regimes535.0ms (6.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.8s (46.9%)

Profiling