Details

analyze131.0ms (3.2%)

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	20×	body	128	invalid

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify243.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

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)

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

rewrite29.0ms (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`
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))
9.0ms	(.f64 (.f64 x.re x.im) 3)
6.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))

series286.0ms (7.1%)

Counts

3 → 24

Calls

3 calls:

162.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
76.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
48.0ms	(.f64 (.f64 x.re x.im) 3)

Compiler

Compiled 432 to 387 computations (10.4% saved)

simplify96.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4911	1162
1	4911	1162

prune88.0ms (2.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	78	8	86
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	79	9	88

Error

0.0b

Counts

88 → 9

Compiler

Compiled 1285 to 890 computations (30.7% 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 (0.6%)

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`
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))

series276.0ms (6.8%)

Counts

3 → 24

Calls

3 calls:

154.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
69.0ms	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
53.0ms	(.f64 x.re (.f64 x.im 3))

Compiler

Compiled 432 to 387 computations (10.4% saved)

simplify91.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4908	1157
1	4908	1157

prune74.0ms (1.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	86	9	95

Error

0.0b

Counts

95 → 9

Compiler

Compiled 1276 to 918 computations (28.1% saved)

localize13.0ms (0.3%)

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))

rewrite65.0ms (1.6%)

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:

17.0ms	(-.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)))
14.0ms	(.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)))

series736.0ms (18.3%)

Counts

4 → 30

Calls

4 calls:

263.0ms	(-.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))
177.0ms	(.f64 x.re (.f64 (.f64 (.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
167.0ms	(.f64 (.f64 (.f64 x.re x.im) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
129.0ms	(.f64 (.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

Compiler

Compiled 753 to 684 computations (9.2% saved)

simplify94.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4955	1892
1	4955	1892

prune137.0ms (3.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	135	9	144

Error

0.0b

Counts

144 → 9

Compiler

Compiled 2291 to 1660 computations (27.5% 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)

series310.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
77.0ms	(cbrt.f64 x.re)
76.0ms	(cbrt.f64 x.re)
69.0ms	(cbrt.f64 x.re)

Compiler

Compiled 490 to 382 computations (22% saved)

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4874	647
1	4874	647

prune78.0ms (1.9%)

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

Error

0.0b

Counts

94 → 9

Compiler

Compiled 1743 to 817 computations (53.1% saved)

regimes132.0ms (3.3%)

Accuracy

Total 0.2b remaining (91.1%)

Threshold costs 0.2b (91.1%)

Compiler

Compiled 1179 to 966 computations (18.1% 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%)

sample986.0ms (24.5%)

Algorithm

1×

intervals

Results

350.0ms	8000×	body	128	valid
24.0ms	562×	body	128	invalid

Compiler

Compiled 427 to 346 computations (19% saved)

Details

analyze131.0ms (3.2%)

sample18.0ms (0.5%)

simplify243.0ms (6%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite29.0ms (0.7%)

series286.0ms (7.1%)

simplify96.0ms (2.4%)

prune88.0ms (2.2%)

localize7.0ms (0.2%)

rewrite26.0ms (0.6%)

series276.0ms (6.8%)

simplify91.0ms (2.3%)

prune74.0ms (1.8%)

localize13.0ms (0.3%)

rewrite65.0ms (1.6%)

series736.0ms (18.3%)

simplify94.0ms (2.3%)

prune137.0ms (3.4%)

localize11.0ms (0.3%)

rewrite15.0ms (0.4%)

series310.0ms (7.7%)

simplify77.0ms (1.9%)

prune78.0ms (1.9%)

regimes132.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample986.0ms (24.5%)

Profiling