Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

286×

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

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)

rewrite47.0ms

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:

36.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
6.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
4.0ms	(/ (* y z) 2.0)

series128.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
53.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
20.0ms	(/ (* y z) 2.0)

simplify46.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (8.0ms)

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

prune155.0ms

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)))
0.3b	(/ y (/ 2.0 z))

rewrite100.0ms

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)
13.0ms	(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
5.0ms	(/ y (/ 2.0 z))

series159.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z))) t)
79.0ms	(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
20.0ms	(/ y (/ 2.0 z))

simplify54.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (44.0ms)

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

prune332.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (/ 1.0 8.0) x) (/ 1 (/ (/ 2.0 z) y))) t)
0.0b	(- (* (/ 1.0 8.0) x) (/ 1 (/ (/ 2.0 z) y)))
0.3b	(/ (/ 2.0 z) y)
0.6b	(/ 1 (/ (/ 2.0 z) y))

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac`
232×	`*-un-lft-identity`
230×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`associate-/r*`
30×	`add-exp-log`
22×	`div-inv`
18×	`div-exp` `add-cbrt-cube`
16×	`associate-/l*`
11×	`add-log-exp`
9×	`cbrt-undiv`
5×	`pow1`
3×	`rec-exp` `1-exp`
2×	`sub-neg` `associate-+l+` `frac-2neg` `diff-log` `clear-num` `sum-log`
1×	`+-commutative` `associate-+l-` `flip3--` `pow-flip` `flip3-+` `associate-*l/` `associate-/r/` `frac-sub` `flip--` `flip-+` `associate-/l/` `distribute-lft-out` `inv-pow`

Counts

4 → 299

Calls

4 calls:

229.0ms	(+ (- (* (/ 1.0 8.0) x) (/ 1 (/ (/ 2.0 z) y))) t)
32.0ms	(- (* (/ 1.0 8.0) x) (/ 1 (/ (/ 2.0 z) y)))
5.0ms	(/ (/ 2.0 z) y)
13.0ms	(/ 1 (/ (/ 2.0 z) y))

series192.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (- (* (/ 1.0 8.0) x) (/ 1 (/ (/ 2.0 z) y))) t)
83.0ms	(- (* (/ 1.0 8.0) x) (/ 1 (/ (/ 2.0 z) y)))
26.0ms	(/ (/ 2.0 z) y)
21.0ms	(/ 1 (/ (/ 2.0 z) y))

simplify59.0ms

Algorithm

egg-herbie

Counts

311 → 311

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1181	2678
1	5001	2138

prune731.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes174.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample623.0ms

Algorithm

intervals

Results

325.0ms	9169×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid