Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

280×

body

valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	6
1	46	6
2	73	6
3	99	6
4	119	6
5	145	6
6	178	6
7	253	6
8	333	6
9	467	6
10	467	6

prune2.0ms

Filtered

1 candidates to 0 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 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* y z) 2.0)
0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `diff-log` `div-exp` `sum-log`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `associate-l/` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l`

Counts

3 → 50

Calls

3 calls:

4.0ms	(/ (* y z) 2.0)
9.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
6.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series123.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* y z) 2.0)
50.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
54.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	282	355
1	1056	330
2	5001	330

prune106.0ms

Filtered

59 candidates to 43 candidates (72.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	2	60

Merged error: 0b

Counts

60 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
0.5b	(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
0.5b	(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
0.5b	(* (cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)) (cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

8.0ms	(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
8.0ms	(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
8.0ms	(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
20.0ms	(* (cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)) (cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))

series1.5s

Counts

4 → 12

Calls

4 calls:

345.0ms	(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
344.0ms	(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
341.0ms	(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
423.0ms	(* (cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)) (cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	297	1720
1	1035	1613
2	5001	1478

prune309.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	2	109

Merged error: 0b

Counts

109 → 2

regimes154.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample619.0ms

Algorithm

intervals

Results

370.0ms	9146×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid