Details

analyze400.0ms (12.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4931	40
1	4931	40
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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
31.2%	50%	18.8%	7
40.6%	37.5%	22%	8
45.3%	26.5%	28.2%	9
46.8%	19.5%	33.7%	10
48.8%	14%	37.2%	11
51.7%	10.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	5.1%	41.6%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify166.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (160.0ms)

Iter	Nodes	Cost
0	4956	20
1	4956	20

prune5.0ms (0.2%)

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

7.3b

Counts

2 → 2

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 x.im x.im) -3)
8.3b	(.f64 x.re (.f64 (*.f64 x.im x.im) -3))

rewrite61.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

7.3b

Rules

16×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
5×	`add-sqr-sqrt_binary64_2487`
4×	`add-cube-cbrt_binary64_2500` `-un-lft-identity_binary64_2465` `associate-l_binary64_2406` `associate-r*_binary64_2405`
2×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396`
1×	`unswap-sqr_binary64_2433`

Counts

2 → 40

Calls

2 calls:

8.0ms	(.f64 x.re (.f64 (*.f64 x.im x.im) -3))
6.0ms	(.f64 (.f64 x.im x.im) -3)

Compiler

Compiled 674 to 389 computations (42.3% saved)

series118.0ms (3.8%)

Error

7.3b

Counts

2 → 9

Calls

2 calls:

83.0ms	(.f64 x.re (.f64 (*.f64 x.im x.im) -3))
28.0ms	(.f64 (.f64 x.im x.im) -3)

Compiler

Compiled 297 to 254 computations (14.5% saved)

simplify54.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4894	564
1	4894	564

prune56.0ms (1.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	45	6	51

Error

7.3b

Counts

51 → 6

Compiler

Compiled 774 to 581 computations (24.9% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 x.im (.f64 -3 x.im))
8.3b	(.f64 x.re (.f64 x.im (*.f64 -3 x.im)))

rewrite49.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
6×	`associate-l_binary64_2406`
4×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
2×	`add-log-exp_binary64_2504` `associate-r_binary64_2405` `*-commutative_binary64_2396`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 x.re (.f64 x.im (*.f64 -3 x.im)))
5.0ms	(.f64 x.im (.f64 -3 x.im))

Compiler

Compiled 659 to 421 computations (36.1% saved)

series118.0ms (3.8%)

Error

7.3b

Counts

2 → 9

Calls

2 calls:

84.0ms	(.f64 x.re (.f64 x.im (*.f64 -3 x.im)))
27.0ms	(.f64 x.im (.f64 -3 x.im))

Compiler

Compiled 297 to 254 computations (14.5% saved)

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5218	544

prune49.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Error

0.0b

Counts

54 → 6

Compiler

Compiled 734 to 546 computations (25.6% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 (.f64 x.im x.re) (*.f64 -3 x.im))

rewrite32.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
1×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `-un-lft-identity_binary64_2465` `associate-l_binary64_2406` `associate-r_binary64_2405` `-commutative_binary64_2396`

Counts

1 → 22

Calls

1 calls:

7.0ms

(*.f64 (*.f64 x.im x.re) (*.f64 -3 x.im))

Compiler

Compiled 388 to 221 computations (43% saved)

series84.0ms (2.7%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

80.0ms

(*.f64 (*.f64 x.im x.re) (*.f64 -3 x.im))

Compiler

Compiled 198 to 170 computations (14.1% saved)

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5080	369

prune30.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	28	6	34

Error

0.0b

Counts

34 → 6

Compiler

Compiled 442 to 329 computations (25.6% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 x.im (.f64 -3 (*.f64 x.im x.re)))
0.3b	(.f64 -3 (.f64 x.im x.re))

rewrite53.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
6×	`associate-l_binary64_2406`
4×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
2×	`add-log-exp_binary64_2504` `associate-r_binary64_2405` `*-commutative_binary64_2396`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 x.im (.f64 -3 (*.f64 x.im x.re)))
5.0ms	(.f64 -3 (.f64 x.im x.re))

Compiler

Compiled 659 to 379 computations (42.5% saved)

series151.0ms (4.8%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

84.0ms	(.f64 x.im (.f64 -3 (*.f64 x.im x.re)))
60.0ms	(.f64 -3 (.f64 x.im x.re))

Compiler

Compiled 396 to 315 computations (20.5% saved)

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5022	602

prune46.0ms (1.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	49	8	57

Error

0.0b

Counts

57 → 8

Compiler

Compiled 696 to 466 computations (33% saved)

regimes182.0ms (5.8%)

Accuracy

Total 0.1b remaining (93.9%)

Threshold costs 0.1b (93.9%)

Compiler

Compiled 1788 to 1374 computations (23.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	20
1	16	20

end0.0ms (0%)

sample1.2s (39.4%)

Algorithm

1×

intervals

Results

370.0ms	8000×	body	128	valid
19.0ms	441×	body	128	invalid

Compiler

Compiled 630 to 482 computations (23.5% saved)

Details

analyze400.0ms (12.7%)

sample21.0ms (0.7%)

simplify166.0ms (5.3%)

prune5.0ms (0.2%)

localize8.0ms (0.2%)

rewrite61.0ms (1.9%)

series118.0ms (3.8%)

simplify54.0ms (1.7%)

prune56.0ms (1.8%)

localize10.0ms (0.3%)

rewrite49.0ms (1.5%)

series118.0ms (3.8%)

simplify75.0ms (2.4%)

prune49.0ms (1.6%)

localize8.0ms (0.3%)

rewrite32.0ms (1%)

series84.0ms (2.7%)

simplify71.0ms (2.3%)

prune30.0ms (0.9%)

localize8.0ms (0.3%)

rewrite53.0ms (1.7%)

series151.0ms (4.8%)

simplify48.0ms (1.5%)

prune46.0ms (1.5%)

regimes182.0ms (5.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (39.4%)

Profiling