Details

analyze460.0ms (10.3%)

Algorithm

1×

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 14 to 11 computations (21.4% saved)

sample70.0ms (1.6%)

Algorithm

1×

intervals

Results

22.0ms	68×	body	1024	valid
13.0ms	60×	body	1024	invalid
7.0ms	132×	body	128	valid
6.0ms	35×	body	512	valid
3.0ms	20×	body	512	invalid
2.0ms	21×	body	256	valid
1.0ms	11×	body	256	invalid
1.0ms	19×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify126.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

533×	`associate-/l*_binary64`
430×	`unswap-sqr_binary64`
374×	`times-frac_binary64`
340×	`associate-/r/_binary64`
318×	`associate-/l/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	28	18
2	63	18
3	83	18
4	130	18
5	231	18
6	472	18
7	824	18
8	3187	18
9	3032	18
10	3749	18
11	3945	18
12	4370	18
13	4808	18
14	4906	18
15	4947	18

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite65.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`*-un-lft-identity_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64`

Counts

3 → 46

Calls

3 calls:

9.0ms	(.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))
1.0ms	(exp.f64 im)

Compiler

Compiled 805 to 274 computations (66% saved)

series70.0ms (1.6%)

Error

0.0b

Counts

3 → 24

Calls

3 calls:

34.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
8.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
7.0ms	(exp.f64 im)

Compiler

Compiled 967 to 666 computations (31.1% saved)

simplify98.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

373×	`times-frac_binary64`
371×	`*-commutative_binary64`
339×	`distribute-rgt-in_binary64`
308×	`distribute-lft-in_binary64`
289×	`sub-neg_binary64`

Counts

70 → 49

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1337
1	414	1156
2	1371	1089
3	3455	1089
4	4795	1089
5	4945	1089

prune36.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Error

Counts

50 → 3

Alt Table

Status	Error	Program
▶	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	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	0.8b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 2 (*.f64 im im)))

Compiler

Compiled 741 to 334 computations (54.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
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)

rewrite115.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`cbrt-prod_binary64`
28×	`*-un-lft-identity_binary64`
19×	`associate-r_binary64`
15×	`unpow-prod-down_binary64` `cube-prod_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`

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	(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))
4.0ms	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))

Compiler

Compiled 1913 to 815 computations (57.4% saved)

series98.0ms (2.2%)

Error

Counts

4 → 30

Calls

4 calls:

33.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 3)))
14.0ms	(pow.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 3)
12.0ms	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
8.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 3))

Compiler

Compiled 1205 to 878 computations (27.1% saved)

simplify120.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

550×	`distribute-rgt-in_binary64`
516×	`distribute-lft-in_binary64`
276×	`exp-prod_binary64`
273×	`unswap-sqr_binary64`
210×	`associate-l_binary64`

Counts

135 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	2644
1	500	2301
2	1797	2213
3	4756	2213
4	5078	2213

prune57.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	108	2	110

Error

Counts

110 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (cbrt.f64 (*.f64 8 (pow.f64 (cosh.f64 im) 3))))

Compiler

Compiled 1216 to 590 computations (51.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (cbrt.f64 (*.f64 8 (pow.f64 (cosh.f64 im) 3))))
0.0b	(cosh.f64 im)
0.0b	(cbrt.f64 (*.f64 8 (pow.f64 (cosh.f64 im) 3)))
0.0b	(pow.f64 (cosh.f64 im) 3)

rewrite73.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`pow1_binary64` `add-exp-log_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `cosh-def_binary64` `associate-r_binary64`
3×	`unpow-prod-down_binary64` `pow-unpow_binary64` `cube-div_binary64` `cube-prod_binary64` `associate-*r/_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`cbrt-div_binary64` `cbrt-prod_binary64`

Counts

4 → 62

Calls

4 calls:

6.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (cbrt.f64 (*.f64 8 (pow.f64 (cosh.f64 im) 3))))
3.0ms	(cbrt.f64 (*.f64 8 (pow.f64 (cosh.f64 im) 3)))
2.0ms	(pow.f64 (cosh.f64 im) 3)
1.0ms	(cosh.f64 im)

Compiler

Compiled 998 to 679 computations (32% saved)

series113.0ms (2.5%)

Error

Counts

4 → 30

Calls

4 calls:

39.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (cbrt.f64 (*.f64 8 (pow.f64 (cosh.f64 im) 3))))
19.0ms	(pow.f64 (cosh.f64 im) 3)
13.0ms	(cbrt.f64 (*.f64 8 (pow.f64 (cosh.f64 im) 3)))
12.0ms	(cosh.f64 im)

Compiler

Compiled 1366 to 1026 computations (24.9% saved)

simplify108.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

449×	`*-commutative_binary64`
283×	`exp-prod_binary64`
265×	`sub-neg_binary64`
260×	`log-prod_binary64`
233×	`associate-+l+_binary64`

Counts

92 → 71

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	190	1627
1	452	1468
2	1481	1248
3	3533	1198
4	4655	1191
5	4994	1191

prune49.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	71	2	73

Error

Counts

73 → 2

Alt Table

Status	Error	Program
	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (cbrt.f64 (*.f64 8 (pow.f64 (cosh.f64 im) 3))))

Compiler

Compiled 860 to 562 computations (34.7% saved)

regimes352.0ms (7.9%)

Accuracy

Total -0.0b remaining (-4.8%)

Threshold costs -0.0b (-4.8%)

Compiler

Compiled 3905 to 2969 computations (24% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end1.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample2.4s (53.9%)

Algorithm

1×

intervals

Results

668.0ms	1953×	body	1024	valid
461.0ms	2047×	body	1024	invalid
251.0ms	4505×	body	128	valid
199.0ms	1030×	body	512	valid
165.0ms	1023×	body	512	invalid
61.0ms	505×	body	256	valid
52.0ms	479×	body	256	invalid
46.0ms	713×	body	128	invalid
4.0ms	7×	body	2048	valid

Compiler

Compiled 50 to 40 computations (20% saved)

Details

analyze460.0ms (10.3%)

sample70.0ms (1.6%)

simplify126.0ms (2.8%)

prune2.0ms (0%)

localize13.0ms (0.3%)

rewrite65.0ms (1.5%)

series70.0ms (1.6%)

simplify98.0ms (2.2%)

prune36.0ms (0.8%)

localize12.0ms (0.3%)

rewrite115.0ms (2.6%)

series98.0ms (2.2%)

simplify120.0ms (2.7%)

prune57.0ms (1.3%)

localize10.0ms (0.2%)

rewrite73.0ms (1.7%)

series113.0ms (2.5%)

simplify108.0ms (2.4%)

prune49.0ms (1.1%)

regimes352.0ms (7.9%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample2.4s (53.9%)

Profiling