Details

analyze358.0ms (12.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5194	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%	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)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify151.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4915	20
1	4915	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

0.1b

Counts

2 → 2

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite29.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208`
12×	`cancel-sign-sub-inv_binary64_3113`
9×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
8×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
5×	`add-log-exp_binary64_3186`
4×	`associate-r_binary64_3087` `associate-l_binary64_3088`
3×	`unpow-prod-down_binary64_3226` `cube-prod_binary64_3175`
2×	`*-commutative_binary64_3078`
1×	`flip--_binary64_3122` `flip3--_binary64_3151` `sub-neg_binary64_3140` `sqr-pow_binary64_3119` `cube-mult_binary64_3177` `diff-log_binary64_3239` `unpow3_binary64_3213`

Counts

3 → 62

Calls

3 calls:

12.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
7.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
5.0ms	(.f64 (.f64 x.re x.im) 3)

series86.0ms (3%)

Counts

3 → 9

Calls

3 calls:

52.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
18.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
16.0ms	(.f64 (.f64 x.re x.im) 3)

simplify94.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4911	985
1	4911	985

prune76.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	66	7	73

Error

0.0b

Counts

73 → 7

Compiler

Compiled 1107 to 763 computations (31.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208`
12×	`cancel-sign-sub-inv_binary64_3113`
9×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
8×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
6×	`associate-l_binary64_3088`
5×	`add-log-exp_binary64_3186`
3×	`unpow-prod-down_binary64_3226` `cube-prod_binary64_3175`
2×	`-commutative_binary64_3078` `associate-r*_binary64_3087`
1×	`flip--_binary64_3122` `flip3--_binary64_3151` `sub-neg_binary64_3140` `sqr-pow_binary64_3119` `cube-mult_binary64_3177` `diff-log_binary64_3239` `unpow3_binary64_3213`

Counts

3 → 62

Calls

3 calls:

10.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
7.0ms	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
5.0ms	(.f64 x.re (.f64 x.im 3))

series84.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

52.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
17.0ms	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
15.0ms	(.f64 x.re (.f64 x.im 3))

simplify91.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4908	980
1	4908	980

prune65.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	71	7	78

Error

0.0b

Counts

78 → 7

Compiler

Compiled 1098 to 788 computations (28.2% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite68.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-exp-log_binary64_3185` `pow1_binary64_3208`
40×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
37×	`add-cbrt-cube_binary64_3183`
12×	`cancel-sign-sub-inv_binary64_3113`
10×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
8×	`associate-r_binary64_3087`
6×	`add-log-exp_binary64_3186`
5×	`associate-l_binary64_3088`
3×	`*-commutative_binary64_3078` `unpow-prod-down_binary64_3226` `cube-prod_binary64_3175` `cbrt-prod_binary64_3178`
1×	`flip--_binary64_3122` `flip3--_binary64_3151` `sub-neg_binary64_3140` `sqr-pow_binary64_3119` `cube-mult_binary64_3177` `diff-log_binary64_3239` `unpow3_binary64_3213`

Counts

4 → 105

Calls

4 calls:

18.0ms	(-.f64 (.f64 x.re (.f64 (.f64 (.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))) (pow.f64 x.im 3))
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)))

series244.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

97.0ms	(-.f64 (.f64 x.re (.f64 (.f64 (.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))) (pow.f64 x.im 3))
56.0ms	(.f64 x.re (.f64 (.f64 (.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
52.0ms	(.f64 (.f64 (.f64 x.re x.im) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
39.0ms	(.f64 (.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

simplify88.0ms (3%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4955	1673
1	4955	1673

prune121.0ms (4.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	117	7	124

Error

0.0b

Counts

124 → 7

Compiler

Compiled 2060 to 1497 computations (27.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 x.im (pow.f64 x.re 2)) 3) (pow.f64 x.im 3))
0.2b	(.f64 (.f64 x.im (pow.f64 x.re 2)) 3)
6.5b	(*.f64 x.im (pow.f64 x.re 2))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_3185`
16×	`add-sqr-sqrt_binary64_3169`
12×	`cancel-sign-sub-inv_binary64_3113`
11×	`associate-r_binary64_3087`
10×	`*-un-lft-identity_binary64_3147` `add-cbrt-cube_binary64_3183` `prod-exp_binary64_3196` `add-cube-cbrt_binary64_3182`
7×	`unpow-prod-down_binary64_3226`
5×	`pow1_binary64_3208` `add-log-exp_binary64_3186`
4×	`unswap-sqr_binary64_3115` `cbrt-unprod_binary64_3180` `associate-l_binary64_3088`
3×	`cube-prod_binary64_3175` `sqr-pow_binary64_3119`
2×	`*-commutative_binary64_3078` `pow-exp_binary64_3215` `unpow2_binary64_3212` `pow-to-exp_binary64_3216`
1×	`flip--_binary64_3122` `pow-prod-down_binary64_3218` `flip3--_binary64_3151` `sub-neg_binary64_3140` `cube-mult_binary64_3177` `diff-log_binary64_3239` `unpow3_binary64_3213`

Counts

3 → 69

Calls

3 calls:

9.0ms	(-.f64 (.f64 (.f64 x.im (pow.f64 x.re 2)) 3) (pow.f64 x.im 3))
6.0ms	(*.f64 x.im (pow.f64 x.re 2))
6.0ms	(.f64 (.f64 x.im (pow.f64 x.re 2)) 3)

series87.0ms (3%)

Counts

3 → 9

Calls

3 calls:

34.0ms	(-.f64 (.f64 (.f64 x.im (pow.f64 x.re 2)) 3) (pow.f64 x.im 3))
27.0ms	(.f64 (.f64 x.im (pow.f64 x.re 2)) 3)
25.0ms	(*.f64 x.im (pow.f64 x.re 2))

simplify74.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4934	1062
1	4934	1062

prune69.0ms (2.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	3	3
Picked	0	1	1
Done	1	2	3
Total	77	8	85

Error

0.0b

Counts

85 → 8

Compiler

Compiled 1132 to 823 computations (27.3% saved)

regimes98.0ms (3.4%)

Accuracy

Total 0.2b remaining (94.9%)

Threshold costs 0.2b (94.9%)

Compiler

Compiled 888 to 714 computations (19.6% 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%)

sample904.0ms (31.3%)

Algorithm

1×

intervals

Results

352.0ms	8000×	body	128	valid
24.0ms	574×	body	128	invalid

Compiler

Compiled 330 to 262 computations (20.6% saved)

Details

analyze358.0ms (12.4%)

sample19.0ms (0.6%)

simplify151.0ms (5.2%)

prune5.0ms (0.2%)

localize7.0ms (0.2%)

rewrite29.0ms (1%)

series86.0ms (3%)

simplify94.0ms (3.2%)

prune76.0ms (2.6%)

localize7.0ms (0.2%)

rewrite25.0ms (0.9%)

series84.0ms (2.9%)

simplify91.0ms (3.1%)

prune65.0ms (2.2%)

localize10.0ms (0.4%)

rewrite68.0ms (2.4%)

series244.0ms (8.4%)

simplify88.0ms (3%)

prune121.0ms (4.2%)

localize7.0ms (0.2%)

rewrite27.0ms (0.9%)

series87.0ms (3%)

simplify74.0ms (2.6%)

prune69.0ms (2.4%)

regimes98.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample904.0ms (31.3%)

Profiling