Details

analyze227.0ms (7.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample43.0ms (1.4%)

Algorithm

1×

intervals

Results

12.0ms	46×	body	1024	valid
9.0ms	179×	body	128	valid
5.0ms	24×	body	1024	invalid
3.0ms	21×	body	512	valid
2.0ms	13×	body	512	invalid
1.0ms	25×	body	128	invalid
1.0ms	10×	body	256	valid
1.0ms	7×	body	256	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1123`
3×	`-un-lft-identity_binary64_1101` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041` `associate-l*_binary64_1042`
2×	`add-exp-log_binary64_1139`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

series35.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

35.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

simplify84.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5010	222

prune16.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Error

0.0b

Counts

22 → 3

Compiler

Compiled 214 to 68 computations (68.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
0.2b	(sqrt.f64 (exp.f64 re))
0.2b	(sqrt.f64 (exp.f64 re))

rewrite29.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_1123`
13×	`*-un-lft-identity_binary64_1101` `pow1_binary64_1162` `sqrt-prod_binary64_1117` `add-cube-cbrt_binary64_1136`
11×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`associate-l_binary64_1042`
8×	`sqrt-pow1_binary64_1119`
7×	`associate-r_binary64_1041`
6×	`exp-prod_binary64_1153`
4×	`cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172`
2×	`*-commutative_binary64_1032` `rem-sqrt-square_binary64_1114` `unswap-sqr_binary64_1069` `pow1/2_binary64_1181`

Counts

4 → 75

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
9.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
2.0ms	(sqrt.f64 (exp.f64 re))
2.0ms	(sqrt.f64 (exp.f64 re))

series103.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
37.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
13.0ms	(sqrt.f64 (exp.f64 re))
12.0ms	(sqrt.f64 (exp.f64 re))

simplify138.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4783	849
1	4783	849

prune190.0ms (6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	86	4	90

Error

0.0b

Counts

90 → 4

Compiler

Compiled 1184 to 288 computations (75.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (sqrt.f64 (sqrt.f64 (exp.f64 re))) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
0.2b	(sqrt.f64 (exp.f64 re))
0.2b	(sqrt.f64 (exp.f64 re))
0.2b	(sqrt.f64 (exp.f64 re))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`sqrt-prod_binary64_1117`
16×	`add-sqr-sqrt_binary64_1123`
13×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
12×	`pow1_binary64_1162` `sqrt-pow1_binary64_1119`
9×	`add-exp-log_binary64_1139` `exp-prod_binary64_1153` `add-cbrt-cube_binary64_1137` `associate-l_binary64_1042`
4×	`add-log-exp_binary64_1140`
3×	`rem-sqrt-square_binary64_1114` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172` `pow1/2_binary64_1181`
1×	`-commutative_binary64_1032` `associate-r*_binary64_1041`

Counts

4 → 72

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 (sqrt.f64 (exp.f64 re))) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
2.0ms	(sqrt.f64 (exp.f64 re))
2.0ms	(sqrt.f64 (exp.f64 re))
2.0ms	(sqrt.f64 (exp.f64 re))

series128.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(.f64 (sqrt.f64 (sqrt.f64 (exp.f64 re))) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
13.0ms	(sqrt.f64 (exp.f64 re))
12.0ms	(sqrt.f64 (exp.f64 re))
12.0ms	(sqrt.f64 (exp.f64 re))

simplify99.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4990	809
1	4990	809

prune73.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	83	5	88

Error

Counts

88 → 5

Compiler

Compiled 1666 to 440 computations (73.6% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
0.3b	(cbrt.f64 (exp.f64 re))
0.3b	(cbrt.f64 (exp.f64 re))
0.3b	(cbrt.f64 (exp.f64 re))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1132`
23×	`add-sqr-sqrt_binary64_1123`
15×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
11×	`pow1_binary64_1162`
9×	`pow1/3_binary64_1183`
6×	`add-exp-log_binary64_1139` `swap-sqr_binary64_1068` `associate-r_binary64_1041` `associate-l_binary64_1042`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
2×	`pow-prod-up_binary64_1171` `pow-sqr_binary64_1074` `pow-prod-down_binary64_1172`
1×	`pow-plus_binary64_1164` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow2_binary64_1182`

Counts

4 → 73

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
2.0ms	(cbrt.f64 (exp.f64 re))
2.0ms	(cbrt.f64 (exp.f64 re))
2.0ms	(cbrt.f64 (exp.f64 re))

series284.0ms (9%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
72.0ms	(cbrt.f64 (exp.f64 re))
63.0ms	(cbrt.f64 (exp.f64 re))
59.0ms	(cbrt.f64 (exp.f64 re))

simplify111.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5129	631

prune60.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Error

Counts

90 → 5

Compiler

Compiled 1357 to 334 computations (75.4% saved)

regimes111.0ms (3.5%)

Accuracy

Total 0.0b remaining (59.3%)

Threshold costs 0.0b (59.3%)

Compiler

Compiled 857 to 540 computations (37% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.3s (41.9%)

Algorithm

1×

intervals

Results

308.0ms	1324×	body	1024	valid
268.0ms	5699×	body	128	valid
110.0ms	631×	body	1024	invalid
92.0ms	628×	body	512	valid
39.0ms	837×	body	128	invalid
38.0ms	315×	body	512	invalid
31.0ms	347×	body	256	valid
13.0ms	154×	body	256	invalid
1.0ms	2×	body	2048	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 178 to 115 computations (35.4% saved)

Details

analyze227.0ms (7.2%)

sample43.0ms (1.4%)

simplify10.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite7.0ms (0.2%)

series35.0ms (1.1%)

simplify84.0ms (2.7%)

prune16.0ms (0.5%)

localize7.0ms (0.2%)

rewrite29.0ms (0.9%)

series103.0ms (3.3%)

simplify138.0ms (4.4%)

prune190.0ms (6%)

localize9.0ms (0.3%)

rewrite27.0ms (0.9%)

series128.0ms (4.1%)

simplify99.0ms (3.1%)

prune73.0ms (2.3%)

localize8.0ms (0.3%)

rewrite21.0ms (0.7%)

series284.0ms (9%)

simplify111.0ms (3.5%)

prune60.0ms (1.9%)

regimes111.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (41.9%)

Profiling