Details

analyze4.0ms

Algorithm

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
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.4%	13
66.6%	0%	33.4%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify121.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4719	9
1	4719	9

prune2.0ms

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: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`-un-lft-identity_binary64` `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` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

simplify43.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5169	264

prune36.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	22	4	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	4	27

Merged error: 0.0b

Counts

27 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
0.0b	(*.f64 (pow.f64 x 3) -2)
0.2b	(.f64 (.f64 x x) 3)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `associate-l_binary64`
10×	`add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
6×	`associate-r_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64` `unswap-sqr_binary64`
4×	`cbrt-unprod_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`pow-prod-down_binary64`
2×	`sqr-pow_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

3 → 61

Calls

3 calls:

6.0ms	(+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
6.0ms	(*.f64 (pow.f64 x 3) -2)
6.0ms	(.f64 (.f64 x x) 3)

series19.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
4.0ms	(*.f64 (pow.f64 x 3) -2)
5.0ms	(.f64 (.f64 x x) 3)

simplify75.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4914	500
1	4914	500

prune60.0ms

Filtered

43 candidates to 70 candidates (-62.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Merged error: 0b

Counts

74 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (-.f64 3 (.f64 x 2)))
0.2b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

6.0ms	(.f64 x (-.f64 3 (.f64 x 2)))
7.0ms	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(.f64 x (-.f64 3 (.f64 x 2)))
7.0ms	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))

simplify61.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4930	472
1	4930	472

prune42.0ms

Filtered

30 candidates to 52 candidates (-73.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	52	5	57

Merged error: 0b

Counts

57 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 x 3) -2)
0.3b	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
0.4b	(*.f64 x (sqrt.f64 3))
0.4b	(*.f64 x (sqrt.f64 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1_binary64`
29×	`add-sqr-sqrt_binary64`
25×	`add-exp-log_binary64`
22×	`add-cbrt-cube_binary64`
19×	`pow-prod-down_binary64` `associate-l_binary64`
16×	`associate-r_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`prod-exp_binary64`
11×	`cbrt-unprod_binary64`
8×	`unswap-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `pow-prod-up_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `pow-sqr_binary64` `*-commutative_binary64`
2×	`sqr-pow_binary64` `pow-plus_binary64`
1×	`pow-to-exp_binary64` `swap-sqr_binary64` `pow-exp_binary64` `pow2_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 109

Calls

4 calls:

6.0ms	(*.f64 (pow.f64 x 3) -2)
9.0ms	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
5.0ms	(*.f64 x (sqrt.f64 3))
5.0ms	(*.f64 x (sqrt.f64 3))

series22.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(*.f64 (pow.f64 x 3) -2)
7.0ms	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
4.0ms	(*.f64 x (sqrt.f64 3))
6.0ms	(*.f64 x (sqrt.f64 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4946	621
1	4946	621

prune77.0ms

Filtered

60 candidates to 121 candidates (-101.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	121	5	126

Merged error: 0b

Counts

126 → 5

regimes34.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	11	11

end0.0ms

sample280.0ms

Algorithm

intervals

Results

191.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze4.0ms

sample13.0ms

simplify121.0ms

prune2.0ms

localize6.0ms

rewrite9.0ms

series7.0ms

simplify43.0ms

prune36.0ms

localize7.0ms

rewrite20.0ms

series19.0ms

simplify75.0ms

prune60.0ms

localize5.0ms

rewrite14.0ms

series13.0ms

simplify61.0ms

prune42.0ms

localize8.0ms

rewrite28.0ms

series22.0ms

simplify53.0ms

prune77.0ms

regimes34.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample280.0ms

Profiling