Details

analyze133.0ms (3.5%)

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)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	15×	body	128	invalid

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify249.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize10.0ms (0.3%)

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)

rewrite25.0ms (0.6%)

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:

9.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
6.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
5.0ms	(.f64 (.f64 x.re x.im) 3)

series288.0ms (7.5%)

Counts

3 → 24

Calls

3 calls:

154.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
77.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
56.0ms	(.f64 (.f64 x.re x.im) 3)

Compiler

Compiled 432 to 387 computations (10.4% saved)

simplify109.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4911	1162
1	4911	1162

prune83.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	83	5	88

Error

0.0b

Counts

88 → 5

Compiler

Compiled 1211 to 827 computations (31.7% 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))

rewrite26.0ms (0.7%)

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))

series290.0ms (7.6%)

Counts

3 → 24

Calls

3 calls:

160.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
76.0ms	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
54.0ms	(.f64 x.re (.f64 x.im 3))

Compiler

Compiled 432 to 387 computations (10.4% saved)

simplify101.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4908	1157
1	4908	1157

prune73.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Error

0.0b

Counts

91 → 6

Compiler

Compiled 1220 to 867 computations (28.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite51.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208`
19×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
13×	`associate-r_binary64_3087`
12×	`*-un-lft-identity_binary64_3147` `cancel-sign-sub-inv_binary64_3113` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
6×	`add-log-exp_binary64_3186` `sqrt-prod_binary64_3163`
5×	`associate-l_binary64_3088`
3×	`*-commutative_binary64_3078` `unpow-prod-down_binary64_3226` `cube-prod_binary64_3175`
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 → 92

Calls

4 calls:

13.0ms	(-.f64 (.f64 x.re (.f64 (.f64 (.f64 x.re x.im) (sqrt.f64 3)) (sqrt.f64 3))) (pow.f64 x.im 3))
11.0ms	(.f64 x.re (.f64 (.f64 (.f64 x.re x.im) (sqrt.f64 3)) (sqrt.f64 3)))
10.0ms	(.f64 (.f64 (*.f64 x.re x.im) (sqrt.f64 3)) (sqrt.f64 3))
9.0ms	(.f64 (.f64 x.re x.im) (sqrt.f64 3))

series610.0ms (15.9%)

Counts

4 → 30

Calls

4 calls:

240.0ms	(-.f64 (.f64 x.re (.f64 (.f64 (.f64 x.re x.im) (sqrt.f64 3)) (sqrt.f64 3))) (pow.f64 x.im 3))
153.0ms	(.f64 x.re (.f64 (.f64 (.f64 x.re x.im) (sqrt.f64 3)) (sqrt.f64 3)))
119.0ms	(.f64 (.f64 (*.f64 x.re x.im) (sqrt.f64 3)) (sqrt.f64 3))
98.0ms	(.f64 (.f64 x.re x.im) (sqrt.f64 3))

Compiler

Compiled 729 to 660 computations (9.5% saved)

simplify93.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4943	1633
1	4943	1633

prune114.0ms (3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	122	6	128

Error

0.0b

Counts

128 → 6

Compiler

Compiled 1922 to 1352 computations (29.7% saved)

localize11.0ms (0.3%)

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)

rewrite15.0ms (0.4%)

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)

series321.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
79.0ms	(cbrt.f64 x.re)
77.0ms	(cbrt.f64 x.re)
73.0ms	(cbrt.f64 x.re)

Compiler

Compiled 490 to 382 computations (22% saved)

simplify86.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4874	647
1	4874	647

prune81.0ms (2.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	84	7	91

Error

0.0b

Counts

91 → 7

Compiler

Compiled 1743 to 901 computations (48.3% saved)

regimes110.0ms (2.9%)

Accuracy

Total 0.2b remaining (92.4%)

Threshold costs 0.2b (92.4%)

Compiler

Compiled 921 to 741 computations (19.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms (0%)

sample919.0ms (23.9%)

Algorithm

1×

intervals

Results

360.0ms	8000×	body	128	valid
24.0ms	542×	body	128	invalid

Compiler

Compiled 341 to 271 computations (20.5% saved)

Details

analyze133.0ms (3.5%)

sample18.0ms (0.5%)

simplify249.0ms (6.5%)

prune4.0ms (0.1%)

localize10.0ms (0.3%)

rewrite25.0ms (0.6%)

series288.0ms (7.5%)

simplify109.0ms (2.8%)

prune83.0ms (2.2%)

localize7.0ms (0.2%)

rewrite26.0ms (0.7%)

series290.0ms (7.6%)

simplify101.0ms (2.6%)

prune73.0ms (1.9%)

localize9.0ms (0.2%)

rewrite51.0ms (1.3%)

series610.0ms (15.9%)

simplify93.0ms (2.4%)

prune114.0ms (3%)

localize11.0ms (0.3%)

rewrite15.0ms (0.4%)

series321.0ms (8.4%)

simplify86.0ms (2.2%)

prune81.0ms (2.1%)

regimes110.0ms (2.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample919.0ms (23.9%)

Profiling