Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

421×

body

valid

simplify8.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))
0.2b	(* (* y 4.0) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--`

Counts

2 → 30

Calls

2 calls:

3.0ms	(- (* x x) (* (* y 4.0) z))
6.0ms	(* (* y 4.0) z)

series62.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (* x x) (* (* y 4.0) z))
17.0ms	(* (* y 4.0) z)

simplify133.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	173	170
1	788	150
2	4578	150
3	5001	150

prune55.0ms

Filtered

36 candidates to 21 candidates (58.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify69.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	98	103
1	447	93
2	2194	93
3	5001	93

prune30.0ms

Filtered

15 candidates to 11 candidates (73.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
1.9b	(cbrt (- (* x x) (* (* y 4.0) z)))
1.9b	(cbrt (- (* x x) (* (* y 4.0) z)))
1.9b	(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite29.0ms

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:

19.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
2.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
2.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
2.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
95.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
90.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
92.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

simplify134.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	262	1221
1	969	1142
2	4562	1071
3	5001	1064

prune242.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y 4.0) z)
0.2b	(* (* y 4.0) z)
1.8b	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
27.4b	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`pow1`
12×	`times-frac`
8×	`add-log-exp`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`distribute-lft-out`
4×	`associate-/l*`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`neg-sub0` `associate-+l-` `associate-l` `sum-log` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-sub` `div-exp` `neg-log` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

6.0ms	(* (* y 4.0) z)
6.0ms	(* (* y 4.0) z)
9.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
24.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (* y 4.0) z)
17.0ms	(* (* y 4.0) z)
106.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
94.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	352	1071
1	1836	950
2	5003	924

prune195.0ms

Filtered

98 candidates to 64 candidates (65.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes138.0ms

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

sample500.0ms

Algorithm

intervals

Results

272.0ms

12258×

body

valid