Details

analyze149.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	20
1	75	20
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
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify15.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	48	10
1	48	10

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x 4/29)
0.0b	(*.f64 (-.f64 x 4/29) 3)
0.1b	(.f64 (.f64 (-.f64 x 4/29) 3) y)

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_18514`
11×	`*-un-lft-identity_binary64_18492`
10×	`add-exp-log_binary64_18530` `pow1_binary64_18553` `add-cbrt-cube_binary64_18528`
7×	`add-cube-cbrt_binary64_18527`
6×	`associate-l_binary64_18433` `associate-r_binary64_18432` `associate-*l/_binary64_18435`
5×	`add-log-exp_binary64_18531`
4×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `pow-prod-down_binary64_18563`
3×	`flip--_binary64_18467` `flip3--_binary64_18496` `cancel-sign-sub-inv_binary64_18458`
2×	`distribute-lft-out--_binary64_18444` `*-commutative_binary64_18423` `difference-of-squares_binary64_18461`
1×	`diff-log_binary64_18584` `unswap-sqr_binary64_18460` `sub-neg_binary64_18485`

Counts

3 → 58

Calls

3 calls:

8.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
7.0ms	(*.f64 (-.f64 x 4/29) 3)
4.0ms	(-.f64 x 4/29)

series59.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

26.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
21.0ms	(*.f64 (-.f64 x 4/29) 3)
12.0ms	(-.f64 x 4/29)

simplify75.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4877	620
1	4877	620

prune62.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	7	68

Error

0.0b

Counts

68 → 7

Compiler

Compiled 812 to 624 computations (23.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x 4/29)
0.3b	(.f64 (-.f64 x 4/29) (.f64 3 y))

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
7×	`add-exp-log_binary64_18530` `pow1_binary64_18553` `add-cbrt-cube_binary64_18528`
5×	`associate-l_binary64_18433`
4×	`add-cube-cbrt_binary64_18527` `add-log-exp_binary64_18531`
3×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `cancel-sign-sub-inv_binary64_18458` `pow-prod-down_binary64_18563`
2×	`flip--_binary64_18467` `distribute-lft-out--_binary64_18444` `flip3--_binary64_18496` `difference-of-squares_binary64_18461` `associate-*l/_binary64_18435`
1×	`diff-log_binary64_18584` `sub-neg_binary64_18485` `-commutative_binary64_18423` `associate-r*_binary64_18432`

Counts

2 → 38

Calls

2 calls:

8.0ms	(.f64 (-.f64 x 4/29) (.f64 3 y))
4.0ms	(-.f64 x 4/29)

series38.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

26.0ms	(.f64 (-.f64 x 4/29) (.f64 3 y))
12.0ms	(-.f64 x 4/29)

simplify79.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4908	411
1	4908	411

prune38.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	44	7	51

Error

0.0b

Counts

51 → 7

Compiler

Compiled 554 to 429 computations (22.6% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cbrt.f64 (.f64 (-.f64 x 4/29) 3)) (cbrt.f64 (*.f64 (-.f64 x 4/29) 3)))
0.2b	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
0.2b	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
0.2b	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))

rewrite31.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*l/_binary64_18435`
18×	`cbrt-div_binary64_18524`
11×	`pow1_binary64_18553`
10×	`add-sqr-sqrt_binary64_18514`
9×	`pow1/3_binary64_18574` `flip--_binary64_18467` `flip3--_binary64_18496`
8×	`add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
7×	`cbrt-prod_binary64_18523`
6×	`add-exp-log_binary64_18530`
4×	`add-cbrt-cube_binary64_18528` `associate-l_binary64_18433` `frac-times_binary64_18502` `add-log-exp_binary64_18531` `associate-r_binary64_18432` `swap-sqr_binary64_18459`
2×	`pow-prod-up_binary64_18562` `associate-*r/_binary64_18434` `pow-sqr_binary64_18465` `pow-prod-down_binary64_18563`
1×	`pow2_binary64_18573` `unswap-sqr_binary64_18460` `pow-plus_binary64_18555` `*-commutative_binary64_18423` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 x 4/29) 3)) (cbrt.f64 (*.f64 (-.f64 x 4/29) 3)))
6.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
5.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
5.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))

series184.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 x 4/29) 3)) (cbrt.f64 (*.f64 (-.f64 x 4/29) 3)))
43.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
40.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
38.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))

simplify72.0ms (3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4986	1419
1	4986	1419

prune136.0ms (5.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	84	7	91

Error

0.0b

Counts

91 → 7

Compiler

Compiled 2351 to 1918 computations (18.4% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
0.2b	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
0.8b	(*.f64 (cbrt.f64 (-.f64 x 4/29)) (cbrt.f64 3))
0.8b	(cbrt.f64 (-.f64 x 4/29))

rewrite30.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_18514`
19×	`cbrt-prod_binary64_18523`
13×	`*-un-lft-identity_binary64_18492`
9×	`add-cube-cbrt_binary64_18527`
8×	`associate-l_binary64_18433` `cbrt-div_binary64_18524`
6×	`add-exp-log_binary64_18530` `pow1_binary64_18553` `associate-r_binary64_18432` `associate-*l/_binary64_18435`
5×	`pow1/3_binary64_18574`
4×	`add-cbrt-cube_binary64_18528` `flip--_binary64_18467` `unswap-sqr_binary64_18460` `flip3--_binary64_18496` `add-log-exp_binary64_18531`
2×	`distribute-lft-out--_binary64_18444` `pow-prod-down_binary64_18563` `difference-of-squares_binary64_18461`
1×	`*-commutative_binary64_18423` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`

Counts

4 → 69

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 (-.f64 x 4/29)) (cbrt.f64 3))
6.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
5.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
3.0ms	(cbrt.f64 (-.f64 x 4/29))

series157.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(*.f64 (cbrt.f64 (-.f64 x 4/29)) (cbrt.f64 3))
44.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
39.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
29.0ms	(cbrt.f64 (-.f64 x 4/29))

simplify74.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4959	1282
1	4959	1282

prune140.0ms (5.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	81	7	88

Error

0.0b

Counts

88 → 7

Compiler

Compiled 2415 to 1998 computations (17.3% saved)

regimes176.0ms (7.3%)

Accuracy

Total 0.2b remaining (95.8%)

Threshold costs 0.2b (95.8%)

Compiler

Compiled 1516 to 1379 computations (9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	10
1	22	10

end0.0ms (0%)

sample799.0ms (33.2%)

Algorithm

1×

intervals

Results

249.0ms	8000×	body	128	valid
6.0ms	76×	body	128	invalid

Compiler

Compiled 318 to 291 computations (8.5% saved)

Details

analyze149.0ms (6.2%)

sample15.0ms (0.6%)

simplify15.0ms (0.6%)

prune4.0ms (0.2%)

localize5.0ms (0.2%)

rewrite22.0ms (0.9%)

series59.0ms (2.5%)

simplify75.0ms (3.1%)

prune62.0ms (2.6%)

localize5.0ms (0.2%)

rewrite14.0ms (0.6%)

series38.0ms (1.6%)

simplify79.0ms (3.3%)

prune38.0ms (1.6%)

localize9.0ms (0.4%)

rewrite31.0ms (1.3%)

series184.0ms (7.6%)

simplify72.0ms (3%)

prune136.0ms (5.7%)

localize15.0ms (0.6%)

rewrite30.0ms (1.3%)

series157.0ms (6.5%)

simplify74.0ms (3.1%)

prune140.0ms (5.8%)

regimes176.0ms (7.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample799.0ms (33.2%)

Profiling