Details

sample13.0ms

Algorithm

intervals

Results

7.0ms

257×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
6.0ms	(* (/ 841.0 108.0) x)

series5.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
2.0ms	(* (/ 841.0 108.0) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5293	401

prune67.0ms

Filtered

37 candidates to 50 candidates (-35.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt (/ 841.0 108.0)) (* x (sqrt (/ 841.0 108.0)))) (/ 4.0 29.0))
0.3b	(* x (sqrt (/ 841.0 108.0)))
0.4b	(* (sqrt (/ 841.0 108.0)) (* x (sqrt (/ 841.0 108.0))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-prod`
27×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac` `associate-l`
17×	`associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`sqrt-div`
7×	`associate-*r/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`frac-add` `unswap-sqr`
2×	`frac-times` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 82

Calls

3 calls:

12.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* x (sqrt (/ 841.0 108.0)))) (/ 4.0 29.0))
7.0ms	(* x (sqrt (/ 841.0 108.0)))
11.0ms	(* (sqrt (/ 841.0 108.0)) (* x (sqrt (/ 841.0 108.0))))

series20.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* x (sqrt (/ 841.0 108.0)))) (/ 4.0 29.0))
6.0ms	(* x (sqrt (/ 841.0 108.0)))
7.0ms	(* (sqrt (/ 841.0 108.0)) (* x (sqrt (/ 841.0 108.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4921	791
1	4921	791

prune136.0ms

Filtered

69 candidates to 91 candidates (-31.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Merged error: 0b

Counts

94 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0)))) (/ 4.0 29.0))
0.1b	(* x (cbrt (/ 841.0 108.0)))
0.4b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0))))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
45×	`add-cube-cbrt` `*-un-lft-identity`
33×	`associate-r`
29×	`cbrt-div`
25×	`pow1`
20×	`add-exp-log` `associate-l`
16×	`associate-*r/` `swap-sqr`
12×	`unswap-sqr`
11×	`frac-times` `pow-prod-down` `associate-*l/` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
7×	`frac-add`
6×	`pow1/3` `add-log-exp`
5×	`div-inv`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sum-log` `flip-+`

Counts

4 → 159

Calls

4 calls:

16.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0)))) (/ 4.0 29.0))
7.0ms	(* x (cbrt (/ 841.0 108.0)))
14.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0))))
15.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series22.0ms

Counts

4 → 10

Calls

4 calls:

10.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0)))) (/ 4.0 29.0))
4.0ms	(* x (cbrt (/ 841.0 108.0)))
9.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0))))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4974	1823
1	4974	1823

prune320.0ms

Filtered

119 candidates to 169 candidates (-42.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	169	3	172

Merged error: 0b

Counts

172 → 3

regimes82.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample348.0ms

Algorithm

intervals

Results

221.0ms	8008×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid

Details

sample13.0ms

simplify3.0ms

prune6.0ms

localize5.0ms

rewrite14.0ms

series5.0ms

simplify37.0ms

prune67.0ms

localize8.0ms

rewrite33.0ms

series20.0ms

simplify50.0ms

prune136.0ms

localize9.0ms

rewrite59.0ms

series22.0ms

simplify43.0ms

prune320.0ms

regimes82.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample348.0ms

Profiling