Details

analyze116.0ms (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

Symmetry

Compiler

Compiled 15 to 12 computations (20% saved)

sample52.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	53×	body	1024	valid
11.0ms	157×	body	128	valid
5.0ms	27×	body	512	valid
5.0ms	256×	pre	128	true
3.0ms	19×	body	256	valid

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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)

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))))
0.1b	(*.f64 e (cos.f64 v))
0.1b	(*.f64 e (sin.f64 v))

rewrite79.0ms (1.3%)

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:

11.0ms	(/.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)

series343.0ms (5.4%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

169.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
75.0ms	(*.f64 e (sin.f64 v))
68.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1338 to 922 computations (31.1% saved)

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4963	1464
1	4963	1464

prune93.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	79	7	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	7	87

Error

0.0b

Counts

87 → 7

Compiler

Compiled 1624 to 743 computations (54.2% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite139.0ms (2.2%)

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` `flip3-+_binary64_1104` `flip-+_binary64_1075` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032`

Counts

3 → 117

Calls

3 calls:

8.0ms	(/.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))

Compiler

Compiled 2692 to 1120 computations (58.4% saved)

series424.0ms (6.7%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

172.0ms	(/.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))
62.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1449 to 997 computations (31.2% saved)

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5196	3861

prune156.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	147	7	154

Error

0.0b

Counts

154 → 7

Compiler

Compiled 3197 to 1392 computations (56.5% 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))))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(*.f64 (sin.f64 v) (sqrt.f64 e))
0.2b	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))

rewrite100.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

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:

9.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
7.0ms	(.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)

series426.0ms (6.8%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

186.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
69.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
68.0ms	(*.f64 e (cos.f64 v))
66.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))

Compiler

Compiled 1938 to 1280 computations (34% saved)

simplify98.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4955	1949
1	4955	1949

prune109.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Error

Counts

129 → 8

Compiler

Compiled 2459 to 975 computations (60.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite167.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`times-frac_binary64_1107`
47×	`add-sqr-sqrt_binary64_1123`
41×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
28×	`sqrt-prod_binary64_1117`
22×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-r*_binary64_1041`
8×	`pow1_binary64_1162` `associate-/r*_binary64_1045`
7×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
6×	`associate-l_binary64_1042`
4×	`prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134`
3×	`unswap-sqr_binary64_1069`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `pow-prod-down_binary64_1172` `*-commutative_binary64_1032`
1×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/r/_binary64_1047`

Counts

4 → 135

Calls

4 calls:

11.0ms	(/.f64 (sqrt.f64 e) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) (sqrt.f64 e))))
8.0ms	(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.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 3488 to 1191 computations (65.9% saved)

series476.0ms (7.6%)

Error

Counts

4 → 36

Calls

4 calls:

178.0ms	(/.f64 (sqrt.f64 e) (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) (sqrt.f64 e))))
137.0ms	(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) (sqrt.f64 e)))
63.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
59.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 2172 to 1452 computations (33.1% saved)

simplify111.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4947	4412
1	4947	4412

prune153.0ms (2.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	172	7	179

Error

Counts

179 → 7

Compiler

Compiled 3860 to 1494 computations (61.3% saved)

regimes333.0ms (5.3%)

Accuracy

Total 0.1b remaining (97.8%)

Threshold costs 0.1b (97.8%)

Compiler

Compiled 3330 to 2303 computations (30.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	16	21

Removed

()

end0.0ms (0%)

sample2.7s (43.6%)

Algorithm

1×

intervals

Results

587.0ms	1951×	body	1024	valid
336.0ms	4563×	body	128	valid
221.0ms	993×	body	512	valid
152.0ms	8000×	pre	128	true
70.0ms	488×	body	256	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 1110 to 770 computations (30.6% saved)

Details

analyze116.0ms (1.8%)

sample52.0ms (0.8%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite79.0ms (1.3%)

series343.0ms (5.4%)

simplify63.0ms (1%)

prune93.0ms (1.5%)

localize10.0ms (0.2%)

rewrite139.0ms (2.2%)

series424.0ms (6.7%)

simplify65.0ms (1%)

prune156.0ms (2.5%)

localize11.0ms (0.2%)

rewrite100.0ms (1.6%)

series426.0ms (6.8%)

simplify98.0ms (1.5%)

prune109.0ms (1.7%)

localize11.0ms (0.2%)

rewrite167.0ms (2.7%)

series476.0ms (7.6%)

simplify111.0ms (1.8%)

prune153.0ms (2.4%)

regimes333.0ms (5.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.7s (43.6%)

Profiling