Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

302×

body

valid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 0.3b

localize9.0ms

Local error

Found 3 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))
0.2b	(/ (* y z) 2.0)

rewrite39.0ms

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:

29.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
5.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
3.0ms	(/ (* y z) 2.0)

series129.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
52.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
21.0ms	(/ (* y z) 2.0)

simplify35.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (8.0ms)

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

prune133.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

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)))

rewrite26.0ms

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-r/` `associate-l/` `frac-sub` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 29

Calls

2 calls:

21.0ms	(+ (- (* (/ 1.0 8.0) x) (* y (/ z 2.0))) t)
5.0ms	(- (* (/ 1.0 8.0) x) (* y (/ z 2.0)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (- (* (/ 1.0 8.0) x) (* y (/ z 2.0))) t)
53.0ms	(- (* (/ 1.0 8.0) x) (* y (/ z 2.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	196	275
1	631	260
2	2706	255
3	5001	255

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 99

Calls

3 calls:

78.0ms	(+ (- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z))) t)
14.0ms	(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
5.0ms	(/ y (/ 2.0 z))

series122.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z))) t)
53.0ms	(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
18.0ms	(/ y (/ 2.0 z))

simplify46.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	497	723
1	1847	693
2	5001	692

prune259.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series722.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt z) (cbrt z))
176.0ms	(cbrt z)
175.0ms	(cbrt z)
175.0ms	(cbrt z)

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune244.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes86.0ms

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

sample518.0ms

Algorithm

intervals

Results

294.0ms	9152×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid