Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

343×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	18	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) (* z t))

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 y) (* z t))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	78
1	285	71
2	895	71
3	2136	71
4	5001	71

prune30.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) (* z t))
0.3b	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
1.5b	(sqrt (- (* x y) (* z t)))
1.5b	(sqrt (- (* x y) (* z t)))

rewrite23.0ms

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 y) (* z t))
10.0ms	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
3.0ms	(sqrt (- (* x y) (* z t)))
3.0ms	(sqrt (- (* x y) (* z t)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* x y) (* z t))
41.0ms	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
84.0ms	(sqrt (- (* x y) (* z t)))
85.0ms	(sqrt (- (* x y) (* z t)))

simplify182.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	246	792
1	954	714
2	4965	686
3	5001	686

prune171.0ms

Filtered

111 candidates to 64 candidates (57.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

114 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
1.7b	(- (pow (* x y) 3) (pow (* z t) 3))
3.4b	(* (* z t) (+ (* z t) (* x y)))
38.6b	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`times-frac`
20×	`difference-of-squares` `sqr-pow`
19×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `associate-/l*`
8×	`add-log-exp`
5×	`difference-cubes` `distribute-lft-out--`
3×	`flip3-+` `associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod` `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 → 109

Calls

4 calls:

8.0ms	(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
7.0ms	(- (pow (* x y) 3) (pow (* z t) 3))
7.0ms	(* (* z t) (+ (* z t) (* x y)))
16.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

series473.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
202.0ms	(- (pow (* x y) 3) (pow (* z t) 3))
50.0ms	(* (* z t) (+ (* z t) (* x y)))
135.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

simplify129.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	556	1992
1	3251	1869
2	5003	1864

prune295.0ms

Filtered

121 candidates to 92 candidates (76.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0b

Counts

124 → 3

regimes124.0ms

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

sample537.0ms

Algorithm

intervals

Results

283.0ms

10470×

body

valid

Details

sample23.0ms

simplify6.0ms

prune2.0ms

localize5.0ms

rewrite4.0ms

series39.0ms

simplify74.0ms

prune30.0ms

localize8.0ms

rewrite23.0ms

series247.0ms

simplify182.0ms

prune171.0ms

localize15.0ms

rewrite42.0ms

series473.0ms

simplify129.0ms

prune295.0ms

regimes124.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample537.0ms

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