Details

sample53.0ms

Algorithm

intervals

Results

15.0ms

335×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	157	7
1	157	7

prune6.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

6.0ms

(- (* x y) (* z t))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(- (* x y) (* z t))

simplify46.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5477	149

prune25.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
2.2b	(cbrt (- (* x y) (* z t)))
2.2b	(cbrt (- (* x y) (* z t)))
2.2b	(cbrt (- (* x y) (* z t)))

rewrite25.0ms

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:

11.0ms	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
3.0ms	(cbrt (- (* x y) (* z t)))
3.0ms	(cbrt (- (* x y) (* z t)))
3.0ms	(cbrt (- (* x y) (* z t)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
39.0ms	(cbrt (- (* x y) (* z t)))
41.0ms	(cbrt (- (* x y) (* z t)))
39.0ms	(cbrt (- (* x y) (* z t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5125	1444

prune113.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

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

localize21.0ms

Local error

Found 4 expressions with local error:

5.1b	(* x (* x (* y y)))
5.4b	(* z (* t (+ (* x y) (* z t))))
8.0b	(* x (* y y))
38.0b	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* x (* x (* y y))) (* z (* t (+ (* x y) (* z t))))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`times-frac`
25×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
21×	`add-cube-cbrt`
16×	`difference-of-squares` `sqr-pow`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l` `associate-/l*`
4×	`difference-cubes` `distribute-rgt-in` `distribute-lft-in` `associate-*r/` `distribute-lft-out--` `add-log-exp`
3×	`associate-r` `associate-/r` `-commutative`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

7.0ms	(* x (* x (* y y)))
7.0ms	(* z (* t (+ (* x y) (* z t))))
5.0ms	(* x (* y y))
17.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* x (* x (* y y))) (* z (* t (+ (* x y) (* z t))))))

series83.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (* x (* y y)))
15.0ms	(* z (* t (+ (* x y) (* z t))))
7.0ms	(* x (* y y))
54.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* x (* x (* y y))) (* z (* t (+ (* x y) (* z t))))))

simplify46.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5644	3350

prune185.0ms

Filtered

86 candidates to 132 candidates (-53.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	3	135

Merged error: 0b

Counts

135 → 3

regimes368.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms

sample744.0ms

Algorithm

intervals

Results

267.0ms

10545×

body

valid

Details

sample53.0ms

simplify12.0ms

prune6.0ms

localize10.0ms

rewrite7.0ms

series12.0ms

simplify46.0ms

prune25.0ms

localize13.0ms

rewrite25.0ms

series170.0ms

simplify50.0ms

prune113.0ms

localize21.0ms

rewrite42.0ms

series83.0ms

simplify46.0ms

prune185.0ms

regimes368.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample744.0ms

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