Details

analyze13.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

sample21.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify518.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4811	6
1	4811	6

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 27.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (pow.f64 x 2.0) 2)
27.1b	(sqrt.f64 (*.f64 (pow.f64 x 2.0) 2))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
7×	`add-exp-log_binary64` `associate-l_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
3×	`pow1_binary64` `associate-r_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `sqrt-prod_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

5.0ms	(*.f64 (pow.f64 x 2.0) 2)
15.0ms	(sqrt.f64 (*.f64 (pow.f64 x 2.0) 2))

series135.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(*.f64 (pow.f64 x 2.0) 2)
72.0ms	(sqrt.f64 (*.f64 (pow.f64 x 2.0) 2))

simplify67.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4935	288
1	4935	288

prune53.0ms

Filtered

30 candidates to 41 candidates (-36.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	6	42

Merged error: 14.0b

Counts

42 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (pow.f64 x 2.0) (sqrt.f64 2))
0.3b	(.f64 (.f64 (pow.f64 x 2.0) (sqrt.f64 2)) (sqrt.f64 2))
27.1b	(sqrt.f64 (.f64 (.f64 (pow.f64 x 2.0) (sqrt.f64 2)) (sqrt.f64 2)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
18×	`add-exp-log_binary64`
12×	`associate-r_binary64`
10×	`add-cbrt-cube_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow1_binary64` `associate-l_binary64`
6×	`unswap-sqr_binary64`
5×	`unpow-prod-down_binary64`
4×	`cbrt-unprod_binary64`
3×	`add-log-exp_binary64` `sqr-pow_binary64`
2×	`pow-to-exp_binary64` `pow-prod-down_binary64` `sqrt-pow1_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64`

Counts

3 → 64

Calls

3 calls:

7.0ms	(*.f64 (pow.f64 x 2.0) (sqrt.f64 2))
8.0ms	(.f64 (.f64 (pow.f64 x 2.0) (sqrt.f64 2)) (sqrt.f64 2))
6.0ms	(sqrt.f64 (.f64 (.f64 (pow.f64 x 2.0) (sqrt.f64 2)) (sqrt.f64 2)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(*.f64 (pow.f64 x 2.0) (sqrt.f64 2))
66.0ms	(.f64 (.f64 (pow.f64 x 2.0) (sqrt.f64 2)) (sqrt.f64 2))
64.0ms	(sqrt.f64 (.f64 (.f64 (pow.f64 x 2.0) (sqrt.f64 2)) (sqrt.f64 2)))

simplify53.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5155	558

prune59.0ms

Filtered

41 candidates to 73 candidates (-78.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	72	7	79

Merged error: 14.0b

Counts

79 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (pow.f64 x 2.0) (sqrt.f64 2))
0.3b	(.f64 (sqrt.f64 (.f64 (pow.f64 x 2.0) (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
27.1b	(sqrt.f64 (*.f64 (pow.f64 x 2.0) (sqrt.f64 2)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
20×	`sqrt-prod_binary64`
15×	`associate-r_binary64`
11×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
10×	`add-exp-log_binary64`
9×	`unswap-sqr_binary64`
8×	`pow1_binary64`
7×	`add-cbrt-cube_binary64`
5×	`unpow-prod-down_binary64`
4×	`prod-exp_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `pow1/2_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64`
2×	`cbrt-unprod_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `sqrt-unprod_binary64` `pow-exp_binary64`

Counts

3 → 71

Calls

3 calls:

7.0ms	(*.f64 (pow.f64 x 2.0) (sqrt.f64 2))
10.0ms	(.f64 (sqrt.f64 (.f64 (pow.f64 x 2.0) (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
4.0ms	(sqrt.f64 (*.f64 (pow.f64 x 2.0) (sqrt.f64 2)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(*.f64 (pow.f64 x 2.0) (sqrt.f64 2))
63.0ms	(.f64 (sqrt.f64 (.f64 (pow.f64 x 2.0) (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
65.0ms	(sqrt.f64 (*.f64 (pow.f64 x 2.0) (sqrt.f64 2)))

simplify65.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4893	784
1	4893	784

prune72.0ms

Filtered

49 candidates to 80 candidates (-63.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	81	6	87

Merged error: 13.9b

Counts

87 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (sqrt.f64 (pow.f64 x 2.0)) (sqrt.f64 (sqrt.f64 2)))
0.3b	(.f64 (.f64 (sqrt.f64 (pow.f64 x 2.0)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
27.0b	(sqrt.f64 (pow.f64 x 2.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

53×	`sqrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`unswap-sqr_binary64`
11×	`associate-l_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64`
7×	`pow-prod-down_binary64`
6×	`pow1/2_binary64` `sqr-pow_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`add-log-exp_binary64` `sqrt-unprod_binary64` `rem-sqrt-square_binary64`
2×	`*-commutative_binary64`
1×	`sqrt-pow1_binary64`

Counts

3 → 89

Calls

3 calls:

9.0ms	(*.f64 (sqrt.f64 (pow.f64 x 2.0)) (sqrt.f64 (sqrt.f64 2)))
11.0ms	(.f64 (.f64 (sqrt.f64 (pow.f64 x 2.0)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
2.0ms	(sqrt.f64 (pow.f64 x 2.0))

series185.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(*.f64 (sqrt.f64 (pow.f64 x 2.0)) (sqrt.f64 (sqrt.f64 2)))
63.0ms	(.f64 (.f64 (sqrt.f64 (pow.f64 x 2.0)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
57.0ms	(sqrt.f64 (pow.f64 x 2.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4950	951
1	4950	951

prune77.0ms

Filtered

58 candidates to 98 candidates (-69.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	97	7	104

Merged error: 0.1b

Counts

104 → 7

regimes99.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms

sample502.0ms

Algorithm

intervals

Results

404.0ms

8000×

body

valid

Details

analyze13.0ms

sample21.0ms

simplify518.0ms

prune8.0ms

localize6.0ms

rewrite23.0ms

series135.0ms

simplify67.0ms

prune53.0ms

localize7.0ms

rewrite22.0ms

series194.0ms

simplify53.0ms

prune59.0ms

localize7.0ms

rewrite23.0ms

series191.0ms

simplify65.0ms

prune72.0ms

localize7.0ms

rewrite26.0ms

series185.0ms

simplify52.0ms

prune77.0ms

regimes99.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample502.0ms

Profiling