Details

analyze544.0ms (10.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4936	36
1	4936	36
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample81.0ms (1.6%)

Algorithm

1×

intervals

Results

22.0ms	65×	body	1024	valid
18.0ms	82×	body	1024	invalid
8.0ms	153×	body	128	valid
7.0ms	43×	body	512	invalid
4.0ms	25×	body	512	valid
2.0ms	19×	body	256	invalid
1.0ms	25×	body	128	invalid
1.0ms	12×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify129.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5290	18

prune6.0ms (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 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite48.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `*-un-lft-identity_binary64_760`
4×	`add-log-exp_binary64_799` `associate-r_binary64_700`
3×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `add-cube-cbrt_binary64_795` `cbrt-unprod_binary64_793` `add-sqr-sqrt_binary64_782`
2×	`flip3-+_binary64_763` `associate-*r/_binary64_702` `flip-+_binary64_734` `distribute-lft-out_binary64_711`
1×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `associate-l_binary64_701` `*-commutative_binary64_691` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

2 → 35

Calls

2 calls:

10.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 692 to 227 computations (67.2% saved)

series195.0ms (3.9%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

153.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
23.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 740 to 530 computations (28.4% saved)

simplify90.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4922	964
1	4922	964

prune46.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	2	54

Error

Counts

54 → 2

Compiler

Compiled 861 to 345 computations (59.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 3)))
0.0b	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 3))
0.0b	(pow.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 3)

rewrite155.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`cbrt-prod_binary64_791`
28×	`*-un-lft-identity_binary64_760`
19×	`associate-r_binary64_700`
15×	`unpow-prod-down_binary64_839` `cube-prod_binary64_788`
14×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
10×	`pow1_binary64_821` `add-exp-log_binary64_798`
8×	`add-cbrt-cube_binary64_796`
7×	`cosh-undef_binary64_954` `distribute-lft-out_binary64_711`
6×	`add-log-exp_binary64_799` `cube-div_binary64_789`
4×	`flip3-+_binary64_763` `flip-+_binary64_734` `cbrt-div_binary64_792`
3×	`pow-unpow_binary64_837` `unpow3_binary64_826` `cube-mult_binary64_790` `sqr-pow_binary64_732` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
2×	`associate-*r/_binary64_702`
1×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `associate-l_binary64_701` `*-commutative_binary64_691` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 105

Calls

4 calls:

14.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 3)))
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 3))
6.0ms	(pow.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 3)
4.0ms	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))

Compiler

Compiled 2442 to 1058 computations (56.7% saved)

series298.0ms (6%)

Error

Counts

4 → 30

Calls

4 calls:

161.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 3)))
63.0ms	(pow.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 3)
23.0ms	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
22.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 3))

Compiler

Compiled 1174 to 898 computations (23.5% saved)

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5247	2267

prune116.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	135	2	137

Error

Counts

137 → 2

Compiler

Compiled 2414 to 1080 computations (55.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (*.f64 (cbrt.f64 8) (cosh.f64 im)))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`pow1_binary64_821` `add-exp-log_binary64_798`
11×	`add-cbrt-cube_binary64_796`
8×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
2×	`associate-*r/_binary64_702`
1×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `-un-lft-identity_binary64_760` `cosh-def_binary64_946` `associate-l_binary64_701` `associate-r_binary64_700` `-commutative_binary64_691`

Counts

1 → 23

Calls

1 calls:

7.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (*.f64 (cbrt.f64 8) (cosh.f64 im)))

Compiler

Compiled 407 to 261 computations (35.9% saved)

series198.0ms (4%)

Error

Counts

1 → 12

Calls

1 calls:

183.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (*.f64 (cbrt.f64 8) (cosh.f64 im)))

Compiler

Compiled 579 to 402 computations (30.6% saved)

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5148	645

prune25.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	35	2	37

Error

Counts

37 → 2

Compiler

Compiled 466 to 270 computations (42.1% saved)

regimes163.0ms (3.3%)

Accuracy

Total 0.0b remaining (75.1%)

Threshold costs 0.0b (75.1%)

Compiler

Compiled 1413 to 1132 computations (19.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample2.7s (54.9%)

Algorithm

1×

intervals

Results

706.0ms	2013×	body	1024	valid
455.0ms	1987×	body	1024	invalid
251.0ms	4477×	body	128	valid
178.0ms	1002×	body	512	valid
161.0ms	973×	body	512	invalid
61.0ms	501×	body	256	valid
56.0ms	507×	body	256	invalid
47.0ms	731×	body	128	invalid
5.0ms	7×	body	2048	valid

Compiler

Compiled 239 to 195 computations (18.4% saved)

Details

analyze544.0ms (10.9%)

sample81.0ms (1.6%)

simplify129.0ms (2.6%)

prune6.0ms (0.1%)

localize9.0ms (0.2%)

rewrite48.0ms (1%)

series195.0ms (3.9%)

simplify90.0ms (1.8%)

prune46.0ms (0.9%)

localize12.0ms (0.2%)

rewrite155.0ms (3.1%)

series298.0ms (6%)

simplify51.0ms (1%)

prune116.0ms (2.3%)

localize8.0ms (0.2%)

rewrite29.0ms (0.6%)

series198.0ms (4%)

simplify44.0ms (0.9%)

prune25.0ms (0.5%)

regimes163.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (54.9%)

Profiling