Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

382×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	57	4
3	63	4
4	63	4

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify64.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	99	103
1	400	93
2	1856	93
3	5002	93

prune28.0ms

Filtered

15 candidates to 10 candidates (66.7%)

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: 0.0b

Counts

16 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))
0.1b	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
2.7b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.7b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

3.0ms	(- (* x x) (* (* y 4.0) z))
11.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
3.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
7.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* x x) (* (* y 4.0) z))
47.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
64.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
70.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	225	918
1	901	842
2	5001	814

prune196.0ms

Filtered

111 candidates to 64 candidates (57.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	111	3	114

Merged error: 0.0b

Counts

114 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) z))
0.3b	(* (* (* y 4.0) z) (* (* y 4.0) z))
2.2b	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
28.4b	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

118×	`pow1`
66×	`pow-prod-down`
42×	`add-exp-log` `add-cbrt-cube`
27×	`prod-exp` `cbrt-unprod`
23×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
10×	`add-log-exp`
9×	`pow-sqr` `pow-prod-up`
5×	`distribute-lft-out`
4×	`flip3-+` `flip-+` `associate-/l*`
3×	`pow-plus` `associate-/r*` `sum-log`
2×	`+-commutative` `neg-sub0` `associate-+l-` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `neg-log` `clear-num` `*-commutative` `div-inv`

Counts

4 → 121

Calls

4 calls:

4.0ms	(+ (* x x) (* (* y 4.0) z))
10.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
11.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
11.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x x) (* (* y 4.0) z))
32.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
103.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
97.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify82.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	459	1287
1	2449	1076
2	5002	1052

prune216.0ms

Filtered

133 candidates to 63 candidates (47.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	133	3	136

Merged error: 0.0b

Counts

136 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
2.7b	(sqrt (/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z))))
2.7b	(sqrt (- (* x x) (* (* y 4.0) z)))
28.4b	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt`
21×	`sqrt-prod`
8×	`distribute-lft-out` `add-log-exp`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
3×	`rem-sqrt-square` `sqrt-div` `associate-/r*`
2×	`neg-sub0` `associate-+l-` `sqrt-pow1` `pow1/2` `sum-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-sub` `div-exp` `neg-log` `clear-num` `flip--`

Counts

4 → 95

Calls

4 calls:

7.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
9.0ms	(sqrt (/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z))))
4.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
12.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
109.0ms	(sqrt (/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z))))
70.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
98.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	387	1718
1	1747	1554
2	5001	1521

prune328.0ms

Filtered

107 candidates to 82 candidates (76.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0.0b

Counts

110 → 3

regimes128.0ms

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	10	4
1	10	4

end0.0ms

sample522.0ms

Algorithm

intervals

Results

281.0ms

12274×

body

valid