Details

analyze18.0ms (0.3%)

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)

sample60.0ms (0.9%)

Algorithm

1×

intervals

Results

25.0ms	69×	body	1024	valid
10.0ms	144×	body	128	valid
5.0ms	27×	body	512	valid
4.0ms	256×	pre	128	true
2.0ms	16×	body	256	valid

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify98.0ms (1.5%)

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)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.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))

rewrite90.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_1123`
13×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
8×	`pow1_binary64_1162`
6×	`add-log-exp_binary64_1140` `associate-l_binary64_1042` `associate-r_binary64_1041`
3×	`prod-exp_binary64_1150` `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` `flip3-+_binary64_1104` `associate-/r/_binary64_1047` `flip-+_binary64_1075`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l*_binary64_1046` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

4 → 70

Calls

4 calls:

7.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
7.0ms	(+.f64 1 (*.f64 e (cos.f64 v)))
5.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (sin.f64 v))

Compiler

Compiled 1279 to 469 computations (63.3% saved)

series397.0ms (6.2%)

Error

0.1b

Counts

4 → 34

Calls

4 calls:

165.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
71.0ms	(*.f64 e (sin.f64 v))
67.0ms	(+.f64 1 (*.f64 e (cos.f64 v)))
67.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1410 to 944 computations (33% saved)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5113	1442

prune97.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	95	9	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	9	105

Error

0.0b

Counts

105 → 9

Compiler

Compiled 1756 to 731 computations (58.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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))
5.7b	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))

rewrite85.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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-l_binary64_1042` `associate-r_binary64_1041`
5×	`add-log-exp_binary64_1140` `log-pow_binary64_1190` `times-frac_binary64_1107` `associate-/r*_binary64_1045`
4×	`distribute-lft-out_binary64_1052`
3×	`log-prod_binary64_1187` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
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×	`exp-to-pow_binary64_1163` `exp-prod_binary64_1153` `rem-log-exp_binary64_1142` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/l*_binary64_1046`

Counts

4 → 77

Calls

4 calls:

7.0ms	(/.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))))

Compiler

Compiled 1544 to 518 computations (66.5% saved)

series708.0ms (11.1%)

Error

0.0b

Counts

4 → 31

Calls

4 calls:

367.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
181.0ms	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))
71.0ms	(*.f64 e (sin.f64 v))
61.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1572 to 1032 computations (34.4% saved)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5035	1448

prune89.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	108	9	117

Error

0.0b

Counts

117 → 9

Compiler

Compiled 1928 to 759 computations (60.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite151.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

84×	`times-frac_binary64_1107`
58×	`add-sqr-sqrt_binary64_1123`
56×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
16×	`associate-/r*_binary64_1045`
13×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
6×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `div-inv_binary64_1098` `associate-/l*_binary64_1046`
4×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
3×	`associate-l_binary64_1042` `associate-r_binary64_1041`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip3-+_binary64_1104` `associate-/l/_binary64_1048` `flip-+_binary64_1075`
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` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

4 → 128

Calls

4 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 (*.f64 e (cos.f64 v)) 1)
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 2904 to 1212 computations (58.3% saved)

series490.0ms (7.7%)

Error

0.0b

Counts

4 → 37

Calls

4 calls:

171.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
161.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
65.0ms	(+.f64 (*.f64 e (cos.f64 v)) 1)
61.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1508 to 1014 computations (32.8% saved)

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4956	3815
1	4956	3815

prune152.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	166	8	174

Error

0.0b

Counts

174 → 8

Compiler

Compiled 3273 to 1367 computations (58.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite213.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`times-frac_binary64_1107`
101×	`*-un-lft-identity_binary64_1101`
73×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123`
25×	`associate-/r*_binary64_1045`
17×	`add-exp-log_binary64_1139`
15×	`add-cbrt-cube_binary64_1137`
12×	`distribute-lft-out_binary64_1052` `div-inv_binary64_1098` `associate-/l*_binary64_1046`
7×	`div-exp_binary64_1152`
6×	`cbrt-undiv_binary64_1135`
5×	`pow1_binary64_1162`
4×	`add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/r/_binary64_1047`
1×	`frac-add_binary64_1109` `flip3-+_binary64_1104` `flip-+_binary64_1075` `quot-tan_binary64_1261` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `1-exp_binary64_1145` `rec-exp_binary64_1151`

Counts

4 → 171

Calls

4 calls:

36.0ms	(/.f64 e (+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (/.f64 (sin.f64 v) (cos.f64 v)))))
7.0ms	(/.f64 e (/.f64 (sin.f64 v) (cos.f64 v)))
4.0ms	(/.f64 (sin.f64 v) (cos.f64 v))
4.0ms	(/.f64 1 (sin.f64 v))

Compiler

Compiled 4053 to 1380 computations (66% saved)

series489.0ms (7.7%)

Error

0.0b

Counts

4 → 25

Calls

4 calls:

290.0ms	(/.f64 e (+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (/.f64 (sin.f64 v) (cos.f64 v)))))
123.0ms	(/.f64 e (/.f64 (sin.f64 v) (cos.f64 v)))
28.0ms	(/.f64 1 (sin.f64 v))
26.0ms	(/.f64 (sin.f64 v) (cos.f64 v))

Compiler

Compiled 1448 to 977 computations (32.5% saved)

simplify97.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4964	4081
1	4964	4081

prune164.0ms (2.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	196	8	204

Error

Counts

204 → 8

Compiler

Compiled 4213 to 1396 computations (66.9% saved)

regimes255.0ms (4%)

Accuracy

Total 0.1b remaining (91.4%)

Threshold costs 0.1b (91.4%)

Compiler

Compiled 2496 to 1778 computations (28.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	16	21

end0.0ms (0%)

sample2.5s (38.9%)

Algorithm

1×

intervals

Results

591.0ms	2029×	body	1024	valid
295.0ms	4460×	body	128	valid
221.0ms	1027×	body	512	valid
142.0ms	8000×	pre	128	true
68.0ms	478×	body	256	valid
3.0ms	6×	body	2048	valid

Compiler

Compiled 832 to 595 computations (28.5% saved)

Details

analyze18.0ms (0.3%)

sample60.0ms (0.9%)

simplify98.0ms (1.5%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite90.0ms (1.4%)

series397.0ms (6.2%)

simplify58.0ms (0.9%)

prune97.0ms (1.5%)

localize11.0ms (0.2%)

rewrite85.0ms (1.3%)

series708.0ms (11.1%)

simplify58.0ms (0.9%)

prune89.0ms (1.4%)

localize8.0ms (0.1%)

rewrite151.0ms (2.4%)

series490.0ms (7.7%)

simplify95.0ms (1.5%)

prune152.0ms (2.4%)

localize9.0ms (0.1%)

rewrite213.0ms (3.3%)

series489.0ms (7.7%)

simplify97.0ms (1.5%)

prune164.0ms (2.6%)

regimes255.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.5s (38.9%)

Profiling