Details

analyze3.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

sample13.0ms (1.1%)

Algorithm

1×

intervals

Results

5.0ms	224×	body	80	valid
1.0ms	10×	body	1280	valid
1.0ms	10×	body	640	valid
1.0ms	9×	body	320	valid
0.0ms	3×	body	160	valid

simplify26.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	482	9
1	482	9

prune5.0ms (0.4%)

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

Merged error: 0.2b

Counts

2 → 1

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 2.0 (*.f64 x 3.0))
0.1b	(.f64 3.0 (-.f64 2.0 (.f64 x 3.0)))
0.1b	(.f64 (.f64 3.0 (-.f64 2.0 (*.f64 x 3.0))) x)

rewrite17.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-l*_binary64` `prod-exp_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `flip--_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64`

Counts

3 → 53

Calls

3 calls:

7.0ms	(.f64 (.f64 3.0 (-.f64 2.0 (*.f64 x 3.0))) x)
6.0ms	(.f64 3.0 (-.f64 2.0 (.f64 x 3.0)))
3.0ms	(-.f64 2.0 (*.f64 x 3.0))

series24.0ms (2%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(.f64 (.f64 3.0 (-.f64 2.0 (*.f64 x 3.0))) x)
8.0ms	(-.f64 2.0 (*.f64 x 3.0))
6.0ms	(.f64 3.0 (-.f64 2.0 (.f64 x 3.0)))

simplify54.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4944	551
1	4944	551

prune98.0ms (8.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	52	10	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	10	63

Merged error: 0.0b

Counts

63 → 10

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 6.0 (.f64 x 9.0)))

rewrite6.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 6.0 (*.f64 x 9.0)))

series8.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.f64 x (-.f64 6.0 (*.f64 x 9.0)))

simplify52.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4987	218
1	4987	218

prune44.0ms (3.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	7	2	9
Picked	0	1	1
Done	0	0	0
Total	29	6	35

Merged error: 0.0b

Counts

35 → 6

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 2.0 (*.f64 3.0 x))
0.1b	(.f64 x (-.f64 2.0 (.f64 3.0 x)))
0.1b	(.f64 3.0 (.f64 x (-.f64 2.0 (*.f64 3.0 x))))

rewrite18.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`sub-neg_binary64`
6×	`-un-lft-identity_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`*-commutative_binary64`
1×	`diff-log_binary64` `unswap-sqr_binary64`

Counts

3 → 57

Calls

3 calls:

7.0ms	(.f64 3.0 (.f64 x (-.f64 2.0 (*.f64 3.0 x))))
6.0ms	(.f64 x (-.f64 2.0 (.f64 3.0 x)))
3.0ms	(-.f64 2.0 (*.f64 3.0 x))

series22.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(.f64 3.0 (.f64 x (-.f64 2.0 (*.f64 3.0 x))))
8.0ms	(.f64 x (-.f64 2.0 (.f64 3.0 x)))
4.0ms	(-.f64 2.0 (*.f64 3.0 x))

simplify55.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4945	604
1	4945	604

prune82.0ms (6.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize8.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2.0 (*.f64 3.0 x))
0.1b	(.f64 x (-.f64 2.0 (.f64 3.0 x)))
0.4b	(.f64 (.f64 x (-.f64 2.0 (*.f64 3.0 x))) (sqrt.f64 3.0))
0.4b	(.f64 (sqrt.f64 3.0) (.f64 (.f64 x (-.f64 2.0 (.f64 3.0 x))) (sqrt.f64 3.0)))

rewrite32.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64`
8×	`associate-*r/_binary64`
6×	`add-log-exp_binary64` `sqrt-prod_binary64`
4×	`flip3--_binary64` `flip--_binary64` `associate-*l/_binary64`
3×	`sub-neg_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64`

Counts

4 → 82

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 3.0) (.f64 (.f64 x (-.f64 2.0 (.f64 3.0 x))) (sqrt.f64 3.0)))
8.0ms	(.f64 (.f64 x (-.f64 2.0 (*.f64 3.0 x))) (sqrt.f64 3.0))
6.0ms	(.f64 x (-.f64 2.0 (.f64 3.0 x)))
3.0ms	(-.f64 2.0 (*.f64 3.0 x))

series52.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(.f64 (sqrt.f64 3.0) (.f64 (.f64 x (-.f64 2.0 (.f64 3.0 x))) (sqrt.f64 3.0)))
14.0ms	(.f64 (.f64 x (-.f64 2.0 (*.f64 3.0 x))) (sqrt.f64 3.0))
8.0ms	(.f64 x (-.f64 2.0 (.f64 3.0 x)))
4.0ms	(-.f64 2.0 (*.f64 3.0 x))

simplify72.0ms (6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4944	922
1	4944	922

prune113.0ms (9.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	93	7	100

Merged error: 0b

Counts

100 → 7

regimes38.0ms (3.1%)

Accuracy

Total 0.2b remaining (93.4%)

Threshold costs 0.2b (93.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

end0.0ms (0%)

sample337.0ms (28.2%)

Algorithm

1×

intervals

Results

176.0ms	7179×	body	80	valid
33.0ms	309×	body	1280	valid
25.0ms	287×	body	640	valid
10.0ms	157×	body	320	valid
3.0ms	68×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms (0.3%)

sample13.0ms (1.1%)

simplify26.0ms (2.2%)

prune5.0ms (0.4%)

localize6.0ms (0.5%)

rewrite17.0ms (1.4%)

series24.0ms (2%)

simplify54.0ms (4.5%)

prune98.0ms (8.2%)

localize4.0ms (0.4%)

rewrite6.0ms (0.5%)

series8.0ms (0.7%)

simplify52.0ms (4.3%)

prune44.0ms (3.7%)

localize6.0ms (0.5%)

rewrite18.0ms (1.5%)

series22.0ms (1.9%)

simplify55.0ms (4.6%)

prune82.0ms (6.9%)

localize8.0ms (0.7%)

rewrite32.0ms (2.7%)

series52.0ms (4.4%)

simplify72.0ms (6%)

prune113.0ms (9.4%)

regimes38.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample337.0ms (28.2%)

Profiling