Details

analyze75.0ms (4.9%)

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
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

sample13.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify20.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	380	7
1	380	7

prune5.0ms (0.3%)

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

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1.0 y))

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x y) (-.f64 1.0 y))

series10.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(*.f64 (*.f64 x y) (-.f64 1.0 y))

simplify43.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5044	220

prune45.0ms (2.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	6	28

Merged error: 0.0b

Counts

28 → 6

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cbrt.f64 (-.f64 1.0 y)) (cbrt.f64 (-.f64 1.0 y)))
0.1b	(cbrt.f64 (-.f64 1.0 y))
0.1b	(cbrt.f64 (-.f64 1.0 y))
0.1b	(cbrt.f64 (-.f64 1.0 y))

rewrite26.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_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 → 101

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 1.0 y)) (cbrt.f64 (-.f64 1.0 y)))
3.0ms	(cbrt.f64 (-.f64 1.0 y))
3.0ms	(cbrt.f64 (-.f64 1.0 y))
3.0ms	(cbrt.f64 (-.f64 1.0 y))

series33.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 (-.f64 1.0 y)) (cbrt.f64 (-.f64 1.0 y)))
8.0ms	(cbrt.f64 (-.f64 1.0 y))
8.0ms	(cbrt.f64 (-.f64 1.0 y))
8.0ms	(cbrt.f64 (-.f64 1.0 y))

simplify50.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5024	1193

prune163.0ms (10.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	113	6	119

Merged error: 0.0b

Counts

119 → 6

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 1.0 y))
2.7b	(.f64 x (.f64 y (-.f64 1.0 y)))

rewrite17.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`sub-neg_binary64` `associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 48

Calls

2 calls:

9.0ms	(.f64 x (.f64 y (-.f64 1.0 y)))
6.0ms	(*.f64 y (-.f64 1.0 y))

series16.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(.f64 x (.f64 y (-.f64 1.0 y)))
6.0ms	(*.f64 y (-.f64 1.0 y))

simplify58.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4933	399
1	4933	399

prune68.0ms (4.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

localize13.0ms (0.9%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (pow.f64 1.0 3) (pow.f64 y 3))

0.5b

(*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3)))

5.6b

(/.f64 (*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3))) (+.f64 (*.f64 1.0 1.0) (+.f64 (*.f64 y y) (*.f64 1.0 y))))

rewrite56.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
32×	`difference-of-squares_binary64`
26×	`*-un-lft-identity_binary64`
25×	`associate-r_binary64`
24×	`unpow-prod-down_binary64` `cube-prod_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`sqr-pow_binary64`
10×	`distribute-lft-out--_binary64`
8×	`pow1_binary64`
6×	`cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64`
4×	`associate-*r/_binary64`
3×	`pow-prod-down_binary64` `associate-/r*_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `div-exp_binary64` `flip--_binary64`
2×	`difference-cubes_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

3 → 104

Calls

3 calls:

22.0ms

(/.f64 (*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3))) (+.f64 (*.f64 1.0 1.0) (+.f64 (*.f64 y y) (*.f64 1.0 y))))

19.0ms

(*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3)))

11.0ms

(-.f64 (pow.f64 1.0 3) (pow.f64 y 3))

series76.0ms (5%)

Counts

3 → 9

Calls

3 calls:

42.0ms

(/.f64 (*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3))) (+.f64 (*.f64 1.0 1.0) (+.f64 (*.f64 y y) (*.f64 1.0 y))))

26.0ms

(*.f64 (*.f64 x y) (-.f64 (pow.f64 1.0 3) (pow.f64 y 3)))

8.0ms

(-.f64 (pow.f64 1.0 3) (pow.f64 y 3))

simplify35.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5610	1642

prune223.0ms (14.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

regimes136.0ms (9%)

Accuracy

Total 0.1b remaining (78.6%)

Threshold costs 0.1b (78.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms (0%)

sample309.0ms (20.4%)

Algorithm

1×

intervals

Results

182.0ms	8000×	body	80	valid
3.0ms	160×	body	80	invalid

Details

analyze75.0ms (4.9%)

sample13.0ms (0.8%)

simplify20.0ms (1.3%)

prune5.0ms (0.3%)

localize4.0ms (0.3%)

rewrite9.0ms (0.6%)

series10.0ms (0.6%)

simplify43.0ms (2.9%)

prune45.0ms (2.9%)

localize8.0ms (0.5%)

rewrite26.0ms (1.7%)

series33.0ms (2.2%)

simplify50.0ms (3.3%)

prune163.0ms (10.8%)

localize4.0ms (0.3%)

rewrite17.0ms (1.1%)

series16.0ms (1.1%)

simplify58.0ms (3.8%)

prune68.0ms (4.5%)

localize13.0ms (0.9%)

rewrite56.0ms (3.7%)

series76.0ms (5%)

simplify35.0ms (2.3%)

prune223.0ms (14.7%)

regimes136.0ms (9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample309.0ms (20.4%)

Profiling