Details

analyze898.0ms (8.9%)

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)

sample119.0ms (1.2%)

Algorithm

1×

intervals

Results

35.0ms	64×	body	1024	valid
21.0ms	59×	body	1024	invalid
19.0ms	146×	body	128	valid
9.0ms	31×	body	512	valid
6.0ms	25×	body	512	invalid
3.0ms	15×	body	256	valid
3.0ms	15×	body	256	invalid
2.0ms	19×	body	128	invalid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify238.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (227.0ms)

Iter	Nodes	Cost
0	5290	18

prune9.0ms (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)

localize18.0ms (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)))

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

19.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
10.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series331.0ms (3.3%)

Counts

2 → 18

Calls

2 calls:

287.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
43.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 404 to 334 computations (17.3% saved)

simplify155.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4922	964
1	4922	964

prune84.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	3	54

Error

Counts

54 → 3

Compiler

Compiled 859 to 358 computations (58.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite66.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_760`
12×	`log-prod_binary64_846`
11×	`pow1_binary64_821`
9×	`add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `add-sqr-sqrt_binary64_782`
8×	`add-exp-log_binary64_798` `exp-sum_binary64_806`
7×	`associate-r_binary64_700`
6×	`log-div_binary64_847` `add-log-exp_binary64_799`
4×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `exp-prod_binary64_812` `exp-diff_binary64_808` `flip-+_binary64_734`
3×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
2×	`log-pow_binary64_849` `associate-*r/_binary64_702`
1×	`rem-exp-log_binary64_800` `+-commutative_binary64_690` `sum-log_binary64_851` `associate-l_binary64_701` `rem-log-exp_binary64_801` `*-commutative_binary64_691`

Counts

4 → 69

Calls

4 calls:

22.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
15.0ms	(exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
10.0ms	(log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
9.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series923.0ms (9.2%)

Counts

4 → 29

Calls

4 calls:

547.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
190.0ms	(exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
142.0ms	(log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
44.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 730 to 636 computations (12.9% saved)

simplify143.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5005	1611

prune148.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Error

Counts

101 → 3

Compiler

Compiled 1668 to 672 computations (59.7% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.3b	(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))
0.4b	(pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)

rewrite67.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_760`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821` `add-sqr-sqrt_binary64_782`
8×	`associate-*r/_binary64_702`
7×	`add-cube-cbrt_binary64_795`
6×	`add-log-exp_binary64_799`
4×	`flip3-+_binary64_763` `flip-+_binary64_734` `associate-r_binary64_700` `cube-div_binary64_789`
3×	`associate-l_binary64_701` `pow-unpow_binary64_837`
2×	`distribute-lft-out_binary64_711` `prod-exp_binary64_809` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `cbrt-div_binary64_792` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `pow-pow_binary64_832`
1×	`pow1/3_binary64_842` `cube-mult_binary64_790` `unswap-sqr_binary64_728` `unpow3_binary64_826` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `pow-to-exp_binary64_829` `+-commutative_binary64_690` `sum-log_binary64_851` `cbrt-prod_binary64_791` `sqr-pow_binary64_732` `cube-prod_binary64_788` `*-commutative_binary64_691` `unpow-prod-down_binary64_839`

Counts

4 → 70

Calls

4 calls:

18.0ms	(pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
18.0ms	(*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
11.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
8.0ms	(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))

series1.2s (11.9%)

Counts

4 → 42

Calls

4 calls:

660.0ms	(pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
271.0ms	(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))
216.0ms	(*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
48.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 1458 to 1158 computations (20.6% saved)

simplify165.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4985	2723
1	4985	2723

prune215.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	112	3	115

Error

Counts

115 → 3

Compiler

Compiled 2459 to 1099 computations (55.3% saved)

regimes222.0ms (2.2%)

Accuracy

Total 0.0b remaining (88.4%)

Threshold costs 0.0b (88.4%)

Compiler

Compiled 722 to 614 computations (15% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

end0.0ms (0%)

sample5.0s (49.6%)

Algorithm

1×

intervals

Results

1.3s	1955×	body	1024	valid
852.0ms	2005×	body	1024	invalid
471.0ms	4530×	body	128	valid
344.0ms	1028×	body	512	valid
304.0ms	970×	body	512	invalid
106.0ms	483×	body	256	valid
101.0ms	498×	body	256	invalid
80.0ms	715×	body	128	invalid
5.0ms	4×	body	2048	valid
1.0ms	2×	body	2048	invalid

Compiler

Compiled 137 to 118 computations (13.9% saved)

Details

analyze898.0ms (8.9%)

sample119.0ms (1.2%)

simplify238.0ms (2.4%)

prune9.0ms (0.1%)

localize18.0ms (0.2%)

rewrite34.0ms (0.3%)

series331.0ms (3.3%)

simplify155.0ms (1.5%)

prune84.0ms (0.8%)

localize21.0ms (0.2%)

rewrite66.0ms (0.7%)

series923.0ms (9.2%)

simplify143.0ms (1.4%)

prune148.0ms (1.5%)

localize24.0ms (0.2%)

rewrite67.0ms (0.7%)

series1.2s (11.9%)

simplify165.0ms (1.6%)

prune215.0ms (2.1%)

regimes222.0ms (2.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample5.0s (49.6%)

Profiling