Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

257×

body

valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

prune9.0ms

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: 28.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

27.0b

(sqrt (* x (+ x x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1`
2×	`sqrt-pow1` `sqrt-div` `associate-*r/`
1×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `pow1/2` `pow-prod-down` `sqrt-prod` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

5.0ms

(sqrt (* x (+ x x)))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(sqrt (* x (+ x x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4740	91
1	4740	91

prune41.0ms

Filtered

13 candidates to 16 candidates (-23.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	9	7	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	10	7	17

Merged error: 0.1b

Counts

17 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

27.0b

(pow (* x (+ x x)) 1/2)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log`
3×	`pow-unpow`
2×	`add-sqr-sqrt` `add-cube-cbrt` `pow-pow` `*-un-lft-identity` `pow-exp`
1×	`pow-to-exp` `unpow-prod-down` `pow-prod-down` `prod-exp` `add-cbrt-cube` `unpow1/2` `add-log-exp` `sqr-pow`

Counts

1 → 18

Calls

1 calls:

7.0ms

(pow (* x (+ x x)) 1/2)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(pow (* x (+ x x)) 1/2)

simplify34.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5119	115

prune36.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	20	8	28

Merged error: 0.1b

Counts

28 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (* x (+ x x))))
0.5b	(* (sqrt (sqrt (* x (+ x x)))) (sqrt (sqrt (* x (+ x x)))))
27.0b	(sqrt (* x (+ x x)))
27.0b	(sqrt (* x (+ x x)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

84×	`sqrt-pow1`
71×	`pow1`
33×	`sqrt-prod`
32×	`sqrt-div`
26×	`add-sqr-sqrt`
25×	`pow-prod-down`
22×	`pow1/2`
20×	`associate-*r/`
14×	`pow-prod-up`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`flip3-+` `swap-sqr` `flip-+`
8×	`pow-sqr`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`frac-times` `add-log-exp` `unswap-sqr`
2×	`associate-*l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 124

Calls

4 calls:

6.0ms	(sqrt (sqrt (* x (+ x x))))
21.0ms	(* (sqrt (sqrt (* x (+ x x)))) (sqrt (sqrt (* x (+ x x)))))
5.0ms	(sqrt (* x (+ x x)))
5.0ms	(sqrt (* x (+ x x)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (sqrt (* x (+ x x))))
4.0ms	(* (sqrt (sqrt (* x (+ x x)))) (sqrt (sqrt (* x (+ x x)))))
4.0ms	(sqrt (* x (+ x x)))
4.0ms	(sqrt (* x (+ x x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5035	929

prune111.0ms

Filtered

70 candidates to 136 candidates (-94.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	137	7	144

Merged error: 0.1b

Counts

144 → 7

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b	(* x (sqrt 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (sqrt 2))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* x (sqrt 2))

simplify34.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5094	133

prune24.0ms

Filtered

13 candidates to 25 candidates (-92.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	23	9	32

Merged error: 0.1b

Counts

32 → 9

regimes52.0ms

Accuracy

99.1% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 30.7b

bsearch14.0ms

Steps

Iters	Range		Point
8	-7.67443757966827e-305	8.126837495347253e-308	1.9786006080648e-310

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms

sample334.0ms

Algorithm

intervals

Results

190.0ms

8006×

body

valid

Details

sample13.0ms

simplify2.0ms

prune9.0ms

localize4.0ms

rewrite6.0ms

series4.0ms

simplify43.0ms

prune41.0ms

localize6.0ms

rewrite7.0ms

series28.0ms

simplify34.0ms

prune36.0ms

localize7.0ms

rewrite44.0ms

series19.0ms

simplify46.0ms

prune111.0ms

localize3.0ms

rewrite6.0ms

series4.0ms

simplify34.0ms

prune24.0ms

regimes52.0ms

bsearch14.0ms

simplify1.0ms

end0.0ms

sample334.0ms

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