Details

analyze129.0ms (3.4%)

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)

sample39.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms	44×	body	1024	valid
7.0ms	175×	body	128	valid
4.0ms	23×	body	1024	invalid
3.0ms	27×	body	512	valid
1.0ms	26×	body	128	invalid
1.0ms	8×	body	512	invalid
1.0ms	10×	body	256	valid
0.0ms	4×	body	256	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify92.0ms (2.4%)

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%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-sqr-sqrt_binary64_441`
3×	`pow1_binary64_480` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-l_binary64_360` `associate-r*_binary64_359`
2×	`add-exp-log_binary64_457`
1×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `add-log-exp_binary64_458` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

1 → 18

Calls

1 calls:

6.0ms

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

Compiler

Compiled 192 to 54 computations (71.9% saved)

series83.0ms (2.2%)

Error

0.0b

Counts

1 → 11

Calls

1 calls:

76.0ms

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

Compiler

Compiled 269 to 174 computations (35.3% saved)

simplify82.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4902	321
1	4902	321

prune21.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Error

0.0b

Counts

30 → 4

Compiler

Compiled 286 to 105 computations (63.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))
0.6b	(cbrt.f64 (sin.f64 im))
0.6b	(cbrt.f64 (sin.f64 im))
0.6b	(cbrt.f64 (sin.f64 im))

rewrite72.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_450`
23×	`add-sqr-sqrt_binary64_441`
15×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
11×	`pow1_binary64_480`
9×	`pow1/3_binary64_501`
6×	`add-exp-log_binary64_457` `swap-sqr_binary64_386` `associate-l_binary64_360` `associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `unswap-sqr_binary64_387`
2×	`pow-prod-down_binary64_490` `pow-prod-up_binary64_489` `pow-sqr_binary64_392`
1×	`pow2_binary64_500` `pow-plus_binary64_482` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))
1.0ms	(cbrt.f64 (sin.f64 im))
1.0ms	(cbrt.f64 (sin.f64 im))
1.0ms	(cbrt.f64 (sin.f64 im))

Compiler

Compiled 1438 to 293 computations (79.6% saved)

series332.0ms (8.7%)

Error

Counts

4 → 17

Calls

4 calls:

97.0ms	(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))
74.0ms	(cbrt.f64 (sin.f64 im))
73.0ms	(cbrt.f64 (sin.f64 im))
72.0ms	(cbrt.f64 (sin.f64 im))

Compiler

Compiled 810 to 534 computations (34.1% saved)

simplify78.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4905	798
1	4905	798

prune65.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	89	5	94

Error

Counts

94 → 5

Compiler

Compiled 1520 to 411 computations (73% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (exp.f64 re) (pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)) (cbrt.f64 (sin.f64 im)))
0.3b	(pow.f64 (sin.f64 im) 2)
0.6b	(cbrt.f64 (sin.f64 im))
14.6b	(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)

rewrite95.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-exp-log_binary64_457`
14×	`unpow-prod-down_binary64_498`
12×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
11×	`prod-exp_binary64_468`
9×	`pow-exp_binary64_487`
8×	`add-cbrt-cube_binary64_455`
7×	`pow1_binary64_480`
6×	`pow-unpow_binary64_496` `cbrt-prod_binary64_450` `associate-r_binary64_359`
5×	`pow-to-exp_binary64_488` `cbrt-unprod_binary64_452`
4×	`add-log-exp_binary64_458`
3×	`sqr-pow_binary64_391`
2×	`unpow2_binary64_484` `pow-pow_binary64_491` `unpow1/3_binary64_486`
1×	`pow1/3_binary64_501` `pow-prod-down_binary64_490` `associate-l_binary64_360` `*-commutative_binary64_350`

Counts

4 → 79

Calls

4 calls:

10.0ms	(.f64 (.f64 (exp.f64 re) (pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)) (cbrt.f64 (sin.f64 im)))
4.0ms	(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
3.0ms	(pow.f64 (sin.f64 im) 2)
1.0ms	(cbrt.f64 (sin.f64 im))

Compiler

Compiled 1502 to 777 computations (48.3% saved)

series287.0ms (7.6%)

Error

Counts

4 → 25

Calls

4 calls:

105.0ms	(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
72.0ms	(.f64 (.f64 (exp.f64 re) (pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)) (cbrt.f64 (sin.f64 im)))
63.0ms	(cbrt.f64 (sin.f64 im))
28.0ms	(pow.f64 (sin.f64 im) 2)

Compiler

Compiled 900 to 663 computations (26.3% saved)

simplify92.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4899	985
1	4899	985

prune73.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	104	5	109

Error

Counts

109 → 5

Compiler

Compiled 1407 to 616 computations (56.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (sin.f64 im) (exp.f64 re))
0.0b	(exp.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
2.7b	(log.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`add-sqr-sqrt_binary64_441`
6×	`add-log-exp_binary64_458` `pow1_binary64_480` `add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
5×	`add-cbrt-cube_binary64_455`
4×	`add-exp-log_binary64_457`
3×	`log-pow_binary64_508` `log-prod_binary64_505` `associate-l_binary64_360` `associate-r_binary64_359`
2×	`exp-to-pow_binary64_481` `exp-prod_binary64_471`
1×	`rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

3 → 42

Calls

3 calls:

5.0ms	(*.f64 (sin.f64 im) (exp.f64 re))
2.0ms	(exp.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
2.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))))

Compiler

Compiled 530 to 139 computations (73.8% saved)

series446.0ms (11.7%)

Error

Counts

3 → 33

Calls

3 calls:

253.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
98.0ms	(exp.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
71.0ms	(*.f64 (sin.f64 im) (exp.f64 re))

Compiler

Compiled 1092 to 690 computations (36.8% saved)

simplify92.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4958	937
1	4958	937

prune42.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	76	4	80

Error

Counts

80 → 4

Compiler

Compiled 793 to 272 computations (65.7% saved)

regimes130.0ms (3.4%)

Accuracy

Total 0.0b remaining (37.9%)

Threshold costs 0.0b (37.9%)

Compiler

Compiled 817 to 680 computations (16.8% 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%)

sample1.5s (38.4%)

Algorithm

1×

intervals

Results

320.0ms	1408×	body	1024	valid
254.0ms	5621×	body	128	valid
112.0ms	667×	body	1024	invalid
88.0ms	671×	body	512	valid
42.0ms	337×	body	512	invalid
40.0ms	838×	body	128	invalid
25.0ms	298×	body	256	valid
13.0ms	164×	body	256	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 170 to 143 computations (15.9% saved)

Details

analyze129.0ms (3.4%)

sample39.0ms (1%)

simplify92.0ms (2.4%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite18.0ms (0.5%)

series83.0ms (2.2%)

simplify82.0ms (2.1%)

prune21.0ms (0.6%)

localize10.0ms (0.3%)

rewrite72.0ms (1.9%)

series332.0ms (8.7%)

simplify78.0ms (2.1%)

prune65.0ms (1.7%)

localize11.0ms (0.3%)

rewrite95.0ms (2.5%)

series287.0ms (7.6%)

simplify92.0ms (2.4%)

prune73.0ms (1.9%)

localize7.0ms (0.2%)

rewrite35.0ms (0.9%)

series446.0ms (11.7%)

simplify92.0ms (2.4%)

prune42.0ms (1.1%)

regimes130.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (38.4%)

Profiling