Details

analyze132.0ms (4.7%)

Algorithm

1×

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)

sample44.0ms (1.6%)

Algorithm

1×

intervals

Results

8.0ms	189×	body	80	valid
8.0ms	21×	body	1280	valid
5.0ms	23×	body	640	valid
3.0ms	13×	body	1280	invalid
3.0ms	16×	body	640	invalid
2.0ms	13×	body	320	valid
1.0ms	27×	body	80	invalid
1.0ms	10×	body	160	valid
0.0ms	6×	body	160	invalid
0.0ms	4×	body	320	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune3.0ms (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

Merged 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))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`add-exp-log_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

6.0ms

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

series11.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify84.0ms (3%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4952	222
1	4952	222

prune16.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	4	22

Merged error: 0.0b

Counts

22 → 4

Compiler

Compiled 234 to 76 computations (67.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`sqrt-pow1_binary64`
7×	`associate-r_binary64`
6×	`exp-prod_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`pow1/2_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
7.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
2.0ms	(sqrt.f64 (exp.f64 re))
2.0ms	(sqrt.f64 (exp.f64 re))

series23.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
8.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
3.0ms	(sqrt.f64 (exp.f64 re))
3.0ms	(sqrt.f64 (exp.f64 re))

simplify123.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4785	853
1	4785	853

prune43.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Merged error: 0.0b

Counts

91 → 4

Compiler

Compiled 1165 to 279 computations (76.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
12×	`sqrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `prod-exp_binary64`
2×	`sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow1/2_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 64

Calls

4 calls:

11.0ms	(.f64 (.f64 (sin.f64 im) (fabs.f64 (cbrt.f64 (exp.f64 re)))) (sqrt.f64 (cbrt.f64 (exp.f64 re))))
2.0ms	(sqrt.f64 (cbrt.f64 (exp.f64 re)))
2.0ms	(cbrt.f64 (exp.f64 re))
2.0ms	(cbrt.f64 (exp.f64 re))

series56.0ms (2%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(.f64 (.f64 (sin.f64 im) (fabs.f64 (cbrt.f64 (exp.f64 re)))) (sqrt.f64 (cbrt.f64 (exp.f64 re))))
12.0ms	(sqrt.f64 (cbrt.f64 (exp.f64 re)))
12.0ms	(cbrt.f64 (exp.f64 re))
12.0ms	(cbrt.f64 (exp.f64 re))

simplify108.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5464	1007

prune36.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

Compiler

Compiled 1531 to 343 computations (77.6% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
0.4b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.4b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.4b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

series86.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
20.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
18.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
18.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

simplify81.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5304	791

prune29.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	69	5	74

Merged error: 0b

Counts

74 → 5

Compiler

Compiled 1471 to 254 computations (82.7% saved)

regimes149.0ms (5.4%)

Compiler: Compiled 387 to 245 computations (36.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.6s (58.9%)

Algorithm

1×

intervals

Results

389.0ms	1056×	body	1280	valid
238.0ms	5478×	body	80	valid
178.0ms	842×	body	640	valid
122.0ms	468×	body	1280	invalid
74.0ms	410×	body	640	invalid
50.0ms	399×	body	320	valid
35.0ms	779×	body	80	invalid
27.0ms	223×	body	320	invalid
19.0ms	225×	body	160	valid
10.0ms	111×	body	160	invalid

Compiler

Compiled 84 to 56 computations (33.3% saved)

Details

analyze132.0ms (4.7%)

sample44.0ms (1.6%)

simplify13.0ms (0.5%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite6.0ms (0.2%)

series11.0ms (0.4%)

simplify84.0ms (3%)

prune16.0ms (0.6%)

localize10.0ms (0.3%)

rewrite24.0ms (0.8%)

series23.0ms (0.8%)

simplify123.0ms (4.4%)

prune43.0ms (1.5%)

localize11.0ms (0.4%)

rewrite19.0ms (0.7%)

series56.0ms (2%)

simplify108.0ms (3.9%)

prune36.0ms (1.3%)

localize9.0ms (0.3%)

rewrite19.0ms (0.7%)

series86.0ms (3.1%)

simplify81.0ms (2.9%)

prune29.0ms (1%)

regimes149.0ms (5.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.6s (58.9%)

Profiling