Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

287×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	31	3
2	56	3
3	62	3
4	62	3

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (* y 4.0) z))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

3.0ms

(- x (* (* y 4.0) z))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(- x (* (* y 4.0) z))

simplify54.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	83	79
1	288	72
2	1507	72
3	5001	72

prune32.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
0.6b	(cbrt (- x (* (* y 4.0) z)))
0.6b	(cbrt (- x (* (* y 4.0) z)))
0.6b	(cbrt (- x (* (* y 4.0) z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

9.0ms	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
2.0ms	(cbrt (- x (* (* y 4.0) z)))
2.0ms	(cbrt (- x (* (* y 4.0) z)))
2.0ms	(cbrt (- x (* (* y 4.0) z)))

series616.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
148.0ms	(cbrt (- x (* (* y 4.0) z)))
145.0ms	(cbrt (- x (* (* y 4.0) z)))
148.0ms	(cbrt (- x (* (* y 4.0) z)))

simplify136.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	266	1035
1	914	970
2	4618	912
3	5001	906

prune233.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x))
2.1b	(- (pow x 3) (pow (* (* y 4.0) z) 3))
4.9b	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) x))
38.1b	(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
40×	`difference-of-squares`
39×	`times-frac`
33×	`*-un-lft-identity`
30×	`sqr-pow`
23×	`add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
13×	`pow1` `associate-/l*`
10×	`unpow-prod-down` `cube-prod`
8×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`difference-cubes` `distribute-lft-out--`
3×	`flip3-+` `associate-r` `associate-/r*` `flip-+`
2×	`distribute-rgt-in` `associate-+l+` `flip3--` `distribute-lft-in` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 132

Calls

4 calls:

11.0ms	(+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x))
9.0ms	(- (pow x 3) (pow (* (* y 4.0) z) 3))
11.0ms	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) x))
22.0ms	(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x))
176.0ms	(- (pow x 3) (pow (* (* y 4.0) z) 3))
44.0ms	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) x))
130.0ms	(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

simplify126.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	633	2455
1	3398	2332
2	5001	2330

prune358.0ms

Filtered

144 candidates to 104 candidates (72.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	144	3	147

Merged error: 0b

Counts

147 → 3

regimes102.0ms

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	9	3
1	9	3

end0.0ms

sample419.0ms

Algorithm

intervals

Results

225.0ms

9181×

body

valid