Details

analyze144.0ms (5.1%)

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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample20.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	11×	body	128	invalid

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify244.0ms (8.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	4915	20
1	4915	20

prune4.0ms (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

Merged error: 0.1b

Counts

2 → 2

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
0.2b	(.f64 (.f64 x.re x.im) 3)

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208`
9×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
4×	`-un-lft-identity_binary64_3147` `associate-r_binary64_3087` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182` `associate-l*_binary64_3088`
2×	`*-commutative_binary64_3078` `add-log-exp_binary64_3186`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
6.0ms	(.f64 (.f64 x.re x.im) 3)

series33.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

17.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
16.0ms	(.f64 (.f64 x.re x.im) 3)

simplify71.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5029	542

prune52.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	40	7	47

Merged error: 0.0b

Counts

47 → 7

Compiler

Compiled 725 to 504 computations (30.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
0.2b	(.f64 x.re (.f64 x.im 3))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208`
9×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
6×	`associate-l_binary64_3088`
4×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
2×	`-commutative_binary64_3078` `associate-r*_binary64_3087` `add-log-exp_binary64_3186`

Counts

2 → 39

Calls

2 calls:

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

series35.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

18.0ms	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
17.0ms	(.f64 x.re (.f64 x.im 3))

simplify58.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5198	537

prune47.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	43	9	52

Merged error: 0.0b

Counts

52 → 9

Compiler

Compiled 745 to 537 computations (27.9% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.1b

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

0.2b

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

0.3b

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

rewrite45.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-exp-log_binary64_3185` `pow1_binary64_3208`
40×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
36×	`add-cbrt-cube_binary64_3183`
8×	`associate-r_binary64_3087`
6×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
5×	`associate-l_binary64_3088`
3×	`*-commutative_binary64_3078` `add-log-exp_binary64_3186` `cbrt-prod_binary64_3178`

Counts

3 → 82

Calls

3 calls:

15.0ms

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

13.0ms

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

9.0ms

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

series150.0ms (5.3%)

Counts

3 → 9

Calls

3 calls:

59.0ms

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

53.0ms

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

38.0ms

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

simplify63.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4928	1212
1	4928	1212

prune90.0ms (3.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

Compiler

Compiled 1582 to 1136 computations (28.2% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
0.6b	(cbrt.f64 x.re)
0.6b	(cbrt.f64 x.re)
0.6b	(cbrt.f64 x.re)

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
15×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `associate-l_binary64_3088`
4×	`unswap-sqr_binary64_3115` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
1.0ms	(cbrt.f64 x.re)
1.0ms	(cbrt.f64 x.re)
1.0ms	(cbrt.f64 x.re)

series354.0ms (12.5%)

Counts

4 → 12

Calls

4 calls:

101.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
87.0ms	(cbrt.f64 x.re)
84.0ms	(cbrt.f64 x.re)
82.0ms	(cbrt.f64 x.re)

simplify63.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4893	662
1	4893	662

prune77.0ms (2.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

Compiler

Compiled 1754 to 833 computations (52.5% saved)

regimes95.0ms (3.4%)

Compiler: Compiled 870 to 693 computations (20.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms (0%)

sample1.1s (38.6%)

Algorithm

1×

intervals

Results

558.0ms	8000×	body	128	valid
26.0ms	575×	body	128	invalid

Compiler

Compiled 324 to 255 computations (21.3% saved)

Details

analyze144.0ms (5.1%)

sample20.0ms (0.7%)

simplify244.0ms (8.7%)

prune4.0ms (0.1%)

localize7.0ms (0.3%)

rewrite15.0ms (0.5%)

series33.0ms (1.2%)

simplify71.0ms (2.5%)

prune52.0ms (1.9%)

localize7.0ms (0.2%)

rewrite17.0ms (0.6%)

series35.0ms (1.2%)

simplify58.0ms (2.1%)

prune47.0ms (1.7%)

localize11.0ms (0.4%)

rewrite45.0ms (1.6%)

series150.0ms (5.3%)

simplify63.0ms (2.2%)

prune90.0ms (3.2%)

localize11.0ms (0.4%)

rewrite14.0ms (0.5%)

series354.0ms (12.5%)

simplify63.0ms (2.2%)

prune77.0ms (2.7%)

regimes95.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (38.6%)

Profiling