Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

296×

body

valid

simplify39.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `associate-+l+` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `associate-*l/` `frac-sub` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 29

Calls

2 calls:

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

series104.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
52.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	188	275
1	585	260
2	2356	255
3	5002	255

prune71.0ms

Filtered

35 candidates to 26 candidates (74.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Merged error: 0b

Counts

36 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.0b	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.3b	(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-div`
28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
11×	`flip3--` `frac-sub` `flip--`
10×	`sqrt-pow1` `pow1/2`
9×	`frac-times`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`unswap-sqr`
3×	`associate-*r/` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

6.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
6.0ms	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
6.0ms	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
17.0ms	(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

series489.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
92.0ms	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
252.0ms	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
62.0ms	(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

simplify51.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	300	1298
1	1136	1195
2	5002	1160

prune330.0ms

Filtered

121 candidates to 74 candidates (61.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	121	3	124

Merged error: 0b

Counts

124 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3)) t)
0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.1b	(pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3)
39.5b	(cbrt (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-log-exp`
6×	`cube-div` `unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow-unpow` `cbrt-div` `flip3--` `associate-*l/` `frac-sub` `flip--`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `pow-pow` `flip3-+` `pow1/3` `diff-log` `pow-exp` `sum-log` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 75

Calls

4 calls:

16.0ms	(+ (cbrt (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3)) t)
10.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
12.0ms	(pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3)
12.0ms	(cbrt (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3))

series342.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (cbrt (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3)) t)
52.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
131.0ms	(pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3)
74.0ms	(cbrt (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	387	836
1	1610	760
2	5001	752

prune163.0ms

Filtered

87 candidates to 58 candidates (66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	87	3	90

Merged error: 0b

Counts

90 → 3

regimes162.0ms

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

sample546.0ms

Algorithm

intervals

Results

310.0ms	9130×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	320	valid