Details

analyze38.0ms (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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	231×	body	128	valid
1.0ms	7×	body	512	valid
1.0ms	8×	body	2048	valid
1.0ms	8×	body	1024	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify21.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	292	10
1	292	10

prune2.0ms (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 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `associate-+r-_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 13

Calls

1 calls:

10.0ms

(+.f64 x (/.f64 (-.f64 x y) 2))

series48.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

48.0ms

(+.f64 x (/.f64 (-.f64 x y) 2))

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5173	228

prune54.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	6	17

Merged error: 0.0b

Counts

17 → 6

Compiler

Compiled 810 to 550 computations (32.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x 3/2) (.f64 y 1/2))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 12

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x 3/2) (*.f64 y 1/2))

series54.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

54.0ms

(-.f64 (*.f64 x 3/2) (*.f64 y 1/2))

simplify75.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4951	213
1	4951	213

prune22.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	16	5	21

Merged error: 0.0b

Counts

21 → 5

Compiler

Compiled 358 to 267 computations (25.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

rewrite71.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

26.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
13.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

series1.1s (26.8%)

Counts

4 → 12

Calls

4 calls:

308.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
256.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
254.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
244.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4853	2396
1	4853	2396

prune256.0ms (6.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	102	10	112

Merged error: 0.0b

Counts

112 → 10

Compiler

Compiled 5347 to 3319 computations (37.9% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))

rewrite53.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`cbrt-prod_binary64`
17×	`*-un-lft-identity_binary64`
10×	`cbrt-div_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 59

Calls

4 calls:

13.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
11.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

series1.1s (26.8%)

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
270.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
261.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
257.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

simplify103.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4971	1366
1	4971	1366

prune155.0ms (3.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	71	10	81

Merged error: 0.0b

Counts

81 → 10

Compiler

Compiled 3527 to 2176 computations (38.3% saved)

regimes75.0ms (1.9%)

Compiler: Compiled 780 to 551 computations (29.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample612.0ms (15.4%)

Algorithm

1×

intervals

Results

174.0ms	7402×	body	128	valid
19.0ms	162×	body	2048	valid
17.0ms	223×	body	1024	valid
8.0ms	136×	body	512	valid
3.0ms	77×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 276 to 199 computations (27.9% saved)

Details

analyze38.0ms (1%)

sample18.0ms (0.4%)

simplify21.0ms (0.5%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite11.0ms (0.3%)

series48.0ms (1.2%)

simplify56.0ms (1.4%)

prune54.0ms (1.4%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series54.0ms (1.4%)

simplify75.0ms (1.9%)

prune22.0ms (0.6%)

localize9.0ms (0.2%)

rewrite71.0ms (1.8%)

series1.1s (26.8%)

simplify77.0ms (1.9%)

prune256.0ms (6.5%)

localize15.0ms (0.4%)

rewrite53.0ms (1.3%)

series1.1s (26.8%)

simplify103.0ms (2.6%)

prune155.0ms (3.9%)

regimes75.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample612.0ms (15.4%)

Profiling