Details

analyze157.0ms (6.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	20
1	54	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
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

prune6.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 (*.f64 x 3) y) y)
0.2b	(.f64 (.f64 x 3) y)

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_16484` `pow1_binary64_16507` `add-cbrt-cube_binary64_16482`
9×	`pow-prod-down_binary64_16517` `cbrt-unprod_binary64_16479` `prod-exp_binary64_16495`
6×	`associate-r_binary64_16386`
4×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446` `add-sqr-sqrt_binary64_16468`
2×	`-commutative_binary64_16377` `add-log-exp_binary64_16485` `associate-l*_binary64_16387`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 (.f64 (*.f64 x 3) y) y)
6.0ms	(.f64 (.f64 x 3) y)

series43.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

27.0ms	(.f64 (.f64 (*.f64 x 3) y) y)
16.0ms	(.f64 (.f64 x 3) y)

simplify52.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5058	451

prune38.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	6	46

Error

0.0b

Counts

46 → 6

Compiler

Compiled 505 to 312 computations (38.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 x (*.f64 3 y)) y)
0.2b	(.f64 x (.f64 3 y))

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_16484` `pow1_binary64_16507` `add-cbrt-cube_binary64_16482`
9×	`pow-prod-down_binary64_16517` `cbrt-unprod_binary64_16479` `prod-exp_binary64_16495`
4×	`add-cube-cbrt_binary64_16481` `-un-lft-identity_binary64_16446` `associate-r_binary64_16386` `add-sqr-sqrt_binary64_16468` `associate-l*_binary64_16387`
2×	`*-commutative_binary64_16377` `add-log-exp_binary64_16485`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
6.0ms	(.f64 x (.f64 3 y))

series43.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

27.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
16.0ms	(.f64 x (.f64 3 y))

simplify48.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4936	452
1	4936	452

prune38.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	42	9	51

Error

0.0b

Counts

51 → 9

Compiler

Compiled 537 to 361 computations (32.8% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
12.1b	(cbrt.f64 (.f64 (.f64 x 3) y))
12.1b	(cbrt.f64 (.f64 (.f64 x 3) y))
12.1b	(cbrt.f64 (.f64 (.f64 x 3) y))

rewrite22.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_16507`
10×	`add-sqr-sqrt_binary64_16468`
9×	`pow1/3_binary64_16528`
8×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
7×	`cbrt-prod_binary64_16477`
6×	`add-exp-log_binary64_16484`
4×	`add-log-exp_binary64_16485` `swap-sqr_binary64_16413` `add-cbrt-cube_binary64_16482` `associate-r_binary64_16386` `associate-l_binary64_16387`
2×	`pow-sqr_binary64_16419` `pow-prod-down_binary64_16517` `pow-prod-up_binary64_16516`
1×	`pow-plus_binary64_16509` `unswap-sqr_binary64_16414` `cbrt-unprod_binary64_16479` `*-commutative_binary64_16377` `prod-exp_binary64_16495` `pow2_binary64_16527`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))

series361.0ms (15.7%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
85.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
83.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
81.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))

simplify52.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5246	741

prune81.0ms (3.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	70	9	79

Error

0.0b

Counts

79 → 9

Compiler

Compiled 1678 to 1174 computations (30% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_16477`
23×	`add-sqr-sqrt_binary64_16468`
15×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
11×	`pow1_binary64_16507`
9×	`pow1/3_binary64_16528`
6×	`add-exp-log_binary64_16484` `swap-sqr_binary64_16413` `associate-r_binary64_16386` `associate-l_binary64_16387`
4×	`unswap-sqr_binary64_16414` `add-log-exp_binary64_16485` `add-cbrt-cube_binary64_16482`
2×	`pow-sqr_binary64_16419` `pow-prod-down_binary64_16517` `pow-prod-up_binary64_16516`
1×	`pow-plus_binary64_16509` `cbrt-unprod_binary64_16479` `*-commutative_binary64_16377` `prod-exp_binary64_16495` `pow2_binary64_16527`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series370.0ms (16%)

Counts

4 → 12

Calls

4 calls:

104.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
90.0ms	(cbrt.f64 x)
89.0ms	(cbrt.f64 x)
85.0ms	(cbrt.f64 x)

simplify61.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune63.0ms (2.8%)

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 1414 to 656 computations (53.6% saved)

regimes122.0ms (5.3%)

Accuracy

Total 0.3b remaining (91.3%)

Threshold costs 0.3b (91.3%)

Compiler

Compiled 896 to 716 computations (20.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample649.0ms (28.2%)

Algorithm

1×

intervals

Results

201.0ms	8000×	body	128	valid
4.0ms	183×	body	128	invalid

Compiler

Compiled 240 to 193 computations (19.6% saved)

Details

analyze157.0ms (6.8%)

sample13.0ms (0.6%)

simplify8.0ms (0.4%)

prune6.0ms (0.3%)

localize5.0ms (0.2%)

rewrite16.0ms (0.7%)

series43.0ms (1.9%)

simplify52.0ms (2.2%)

prune38.0ms (1.7%)

localize5.0ms (0.2%)

rewrite15.0ms (0.7%)

series43.0ms (1.9%)

simplify48.0ms (2.1%)

prune38.0ms (1.7%)

localize9.0ms (0.4%)

rewrite22.0ms (1%)

series361.0ms (15.7%)

simplify52.0ms (2.3%)

prune81.0ms (3.5%)

localize9.0ms (0.4%)

rewrite15.0ms (0.7%)

series370.0ms (16%)

simplify61.0ms (2.6%)

prune63.0ms (2.8%)

regimes122.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample649.0ms (28.2%)

Profiling