Details

analyze550.0ms (9.6%)

Algorithm

2×	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%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	62.4%	12.6%	6
31.2%	50%	18.8%	7
31.2%	50%	18.8%	7
40.6%	37.5%	22%	8
40.6%	37.5%	22%	8
45.3%	26.5%	28.2%	9
45.3%	26.5%	28.2%	9
46.8%	19.5%	33.7%	10
46.8%	19.5%	33.7%	10
48.8%	14%	37.2%	11
48.8%	14%	37.2%	11
51.7%	10.1%	38.1%	12
51.7%	10.1%	38.1%	12
52.8%	7.1%	40.1%	13
52.8%	7.1%	40.1%	13
53.3%	5.1%	41.6%	14
53.3%	5.1%	41.6%	14

Compiler

Compiled 40 to 24 computations (40% saved)

sample565.0ms (9.9%)

Algorithm

2×

intervals

Results

24.0ms	412×	body	128	invalid
22.0ms	512×	body	128	valid

Compiler

Compiled 8939 to 6255 computations (30% saved)

simplify144.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4956	20
1	4956	20

prune5.0ms (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

8.1b

Counts

2 → 2

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 (*.f64 x.im x.im) -3)))
0.2b	(.f64 (.f64 x.im x.im) -3)
8.5b	(.f64 x.re (.f64 (*.f64 x.im x.im) -3))

rewrite88.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

8.0b

Rules

17×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
6×	`add-sqr-sqrt_binary64_3169`
5×	`add-log-exp_binary64_3186` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
4×	`associate-l_binary64_3088` `associate-r_binary64_3087`
2×	`*-commutative_binary64_3078`
1×	`unswap-sqr_binary64_3115` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `cube-mult_binary64_3177` `distribute-lft-out_binary64_3098` `+-commutative_binary64_3077`

Counts

3 → 52

Calls

3 calls:

9.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 (*.f64 x.im x.im) -3)))
7.0ms	(.f64 x.re (.f64 (*.f64 x.im x.im) -3))
6.0ms	(.f64 (.f64 x.im x.im) -3)

Compiler

Compiled 947 to 550 computations (41.9% saved)

series401.0ms (7%)

Error

7.9b

Counts

3 → 21

Calls

3 calls:

235.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 (*.f64 x.im x.im) -3)))
110.0ms	(.f64 x.re (.f64 (*.f64 x.im x.im) -3))
40.0ms	(.f64 (.f64 x.im x.im) -3)

Compiler

Compiled 555 to 476 computations (14.2% saved)

simplify82.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4951	1038
1	4951	1038

prune84.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	69	6	75

Error

7.9b

Counts

75 → 6

Compiler

Compiled 1071 to 798 computations (25.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 x.im (*.f64 -3 x.im))))
0.1b	(.f64 x.im (.f64 -3 x.im))
8.5b	(.f64 x.re (.f64 x.im (*.f64 -3 x.im)))

rewrite80.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
6×	`associate-l_binary64_3088`
5×	`add-log-exp_binary64_3186` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
2×	`associate-r_binary64_3087` `*-commutative_binary64_3078`
1×	`sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `cube-mult_binary64_3177` `distribute-lft-out_binary64_3098` `+-commutative_binary64_3077`

Counts

3 → 51

Calls

3 calls:

9.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 x.im (*.f64 -3 x.im))))
7.0ms	(.f64 x.re (.f64 x.im (*.f64 -3 x.im)))
5.0ms	(.f64 x.im (.f64 -3 x.im))

Compiler

Compiled 932 to 604 computations (35.2% saved)

series429.0ms (7.5%)

Error

7.9b

Counts

3 → 21

Calls

3 calls:

254.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 x.im (*.f64 -3 x.im))))
120.0ms	(.f64 x.re (.f64 x.im (*.f64 -3 x.im)))
40.0ms	(.f64 x.im (.f64 -3 x.im))

Compiler

Compiled 555 to 476 computations (14.2% saved)

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5015	1018

prune74.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Error

0.0b

Counts

78 → 6

Compiler

Compiled 1054 to 785 computations (25.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.im x.re) (*.f64 -3 x.im)))
0.2b	(.f64 (.f64 x.im x.re) (*.f64 -3 x.im))

rewrite56.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
8×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
4×	`add-log-exp_binary64_3186`
2×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
1×	`associate-l_binary64_3088` `associate-r_binary64_3087` `*-commutative_binary64_3078` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077`

Counts

2 → 33

Calls

2 calls:

9.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.im x.re) (*.f64 -3 x.im)))
6.0ms	(.f64 (.f64 x.im x.re) (*.f64 -3 x.im))

Compiler

Compiled 650 to 378 computations (41.8% saved)

series390.0ms (6.8%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

256.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.im x.re) (*.f64 -3 x.im)))
121.0ms	(.f64 (.f64 x.im x.re) (*.f64 -3 x.im))

Compiler

Compiled 456 to 392 computations (14% saved)

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4964	829
1	4964	829

prune53.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	50	7	57

Error

0.0b

Counts

57 → 7

Compiler

Compiled 763 to 567 computations (25.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 -3 (*.f64 x.im x.re))))
0.2b	(.f64 x.im (.f64 -3 (*.f64 x.im x.re)))
0.3b	(.f64 -3 (.f64 x.im x.re))

rewrite84.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
6×	`associate-l_binary64_3088`
5×	`add-log-exp_binary64_3186` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
2×	`associate-r_binary64_3087` `*-commutative_binary64_3078`
1×	`sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077`

Counts

3 → 50

Calls

3 calls:

12.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 -3 (*.f64 x.im x.re))))
7.0ms	(.f64 x.im (.f64 -3 (*.f64 x.im x.re)))
7.0ms	(.f64 -3 (.f64 x.im x.re))

Compiler

Compiled 921 to 536 computations (41.8% saved)

series435.0ms (7.6%)

Error

0.0b

Counts

3 → 24

Calls

3 calls:

225.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 -3 (*.f64 x.im x.re))))
107.0ms	(.f64 x.im (.f64 -3 (*.f64 x.im x.re)))
85.0ms	(.f64 -3 (.f64 x.im x.re))

Compiler

Compiled 654 to 537 computations (17.9% saved)

simplify91.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4974	1061
1	4974	1061

prune70.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	0	4	4
Picked	1	0	1
Done	1	1	2
Total	72	9	81

Error

0.0b

Counts

81 → 9

Compiler

Compiled 1007 to 694 computations (31.1% saved)

regimes203.0ms (3.5%)

Accuracy

Total 0.2b remaining (95.1%)

Threshold costs 0.2b (95.1%)

Compiler

Compiled 1815 to 1419 computations (21.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	20
1	16	20

end0.0ms (0%)

sample1.7s (29%)

Algorithm

1×

intervals

Results

350.0ms	8000×	body	128	valid
292.0ms	6560×	body	128	invalid

Compiler

Compiled 639 to 497 computations (22.2% saved)

Details

analyze550.0ms (9.6%)

sample565.0ms (9.9%)

simplify144.0ms (2.5%)

prune5.0ms (0.1%)

localize7.0ms (0.1%)

rewrite88.0ms (1.5%)

series401.0ms (7%)

simplify82.0ms (1.4%)

prune84.0ms (1.5%)

localize7.0ms (0.1%)

rewrite80.0ms (1.4%)

series429.0ms (7.5%)

simplify69.0ms (1.2%)

prune74.0ms (1.3%)

localize7.0ms (0.1%)

rewrite56.0ms (1%)

series390.0ms (6.8%)

simplify69.0ms (1.2%)

prune53.0ms (0.9%)

localize8.0ms (0.1%)

rewrite84.0ms (1.5%)

series435.0ms (7.6%)

simplify91.0ms (1.6%)

prune70.0ms (1.2%)

regimes203.0ms (3.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.7s (29%)

Profiling