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
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

sample9.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

prune3.0ms

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: 28.7b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

27.6b

(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1_binary64`
2×	`associate-*r/_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1/2_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64` `flip-+_binary64`

Counts

1 → 13

Calls

1 calls:

5.0ms

(sqrt.f64 (*.f64 x (+.f64 x x)))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(sqrt.f64 (*.f64 x (+.f64 x x)))

simplify81.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5010	140

prune20.0ms

Filtered

13 candidates to 16 candidates (-23.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	6	17

Merged error: 0.2b

Counts

17 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

0.5b	(*.f64 x (sqrt.f64 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 x (sqrt.f64 2))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(*.f64 x (sqrt.f64 2))

simplify54.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5011	211

prune17.0ms

Filtered

14 candidates to 25 candidates (-78.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	22	9	31

Merged error: 0.0b

Counts

31 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.3b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64`
10×	`associate-r_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
4×	`associate-l_binary64`
3×	`sqrt-prod_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 46

Calls

2 calls:

9.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
15.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

series182.0ms

Counts

2 → 6

Calls

2 calls:

151.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
30.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify89.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4958	577
1	4958	577

prune39.0ms

Filtered

31 candidates to 52 candidates (-67.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	52	9	61

Merged error: 0.0b

Counts

61 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b

(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))

0.3b

(*.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))

0.4b

(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log_binary64`
48×	`prod-exp_binary64`
27×	`associate-r_binary64`
23×	`cbrt-prod_binary64`
22×	`cbrt-unprod_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
17×	`pow1_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64`
9×	`pow-prod-down_binary64`
7×	`sqrt-prod_binary64`
6×	`unswap-sqr_binary64`
5×	`pow-to-exp_binary64` `associate-l_binary64` `pow-exp_binary64`
3×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`unpow2_binary64` `sqr-pow_binary64`

Counts

3 → 97

Calls

3 calls:

8.0ms

(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))

20.0ms

(*.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))

15.0ms

(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

series362.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms

(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))

28.0ms

(*.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))

184.0ms

(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

simplify127.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4896	1349
1	4896	1349

prune80.0ms

Filtered

53 candidates to 106 candidates (-100.0%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	106	9	115

Merged error: 0.0b

Counts

115 → 9

regimes25.0ms

Accuracy

99% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 31.3b

bsearch18.0ms

Steps

Iters	Range		Point
10	-4.886422940191187e-296	6.572849976225947e-305	-5.45676362572406e-310

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	57
1	81	57

end0.0ms

sample255.0ms

Algorithm

intervals

Results

170.0ms

8000×

body

valid

Details

analyze4.0ms

sample9.0ms

simplify11.0ms

prune3.0ms

localize4.0ms

rewrite5.0ms

series24.0ms

simplify81.0ms

prune20.0ms

localize4.0ms

rewrite6.0ms

series23.0ms

simplify54.0ms

prune17.0ms

localize7.0ms

rewrite25.0ms

series182.0ms

simplify89.0ms

prune39.0ms

localize11.0ms

rewrite48.0ms

series362.0ms

simplify127.0ms

prune80.0ms

regimes25.0ms

bsearch18.0ms

simplify4.0ms

end0.0ms

sample255.0ms

Profiling