Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

296×

body

valid

simplify29.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

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

series70.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(/ (* y z) 2.0)
53.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify78.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	219	247
1	805	217
2	3624	212
3	5002	212

prune91.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.0b	(sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
0.0b	(sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
0.2b	(* (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)) (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

10.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
8.0ms	(sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
8.0ms	(sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
20.0ms	(* (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)) (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
117.0ms	(sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
117.0ms	(sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
79.0ms	(* (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)) (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	309	1368
1	1145	1241
2	5001	1196

prune266.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))
0.0b	(sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))
0.2b	(* (pow (sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))) 3) (sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))))
0.3b	(pow (sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))) 3)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

121×	`sqrt-prod`
74×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`sqrt-div`
29×	`unpow-prod-down` `cube-prod`
26×	`associate-l`
25×	`add-cube-cbrt`
24×	`unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log` `associate-r`
9×	`flip3-+` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube` `distribute-lft-out`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 170

Calls

4 calls:

9.0ms	(sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))
8.0ms	(sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))
28.0ms	(* (pow (sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))) 3) (sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))))
11.0ms	(pow (sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))) 3)

series1.5s

Counts

4 → 12

Calls

4 calls:

456.0ms	(sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))
445.0ms	(sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))
83.0ms	(* (pow (sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))) 3) (sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))))
488.0ms	(pow (sqrt (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))) 3)

simplify94.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	547	2812
1	2301	2499
2	5001	2255

prune426.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes155.0ms

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

sample551.0ms

Algorithm

intervals

Results

310.0ms	9129×	body	80	valid
0.0ms	1×	body	160	valid