Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

336×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	18	3

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify72.0ms

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

prune34.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
1.7b	(cbrt (- (* x y) (* z t)))
1.7b	(cbrt (- (* x y) (* z t)))
1.7b	(cbrt (- (* x y) (* z t)))

rewrite22.0ms

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:

10.0ms	(* (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)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
113.0ms	(cbrt (- (* x y) (* z t)))
115.0ms	(cbrt (- (* x y) (* z t)))
112.0ms	(cbrt (- (* x y) (* z t)))

simplify97.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	313	1067
1	1066	1000
2	4165	924
3	5001	915

prune256.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (- (* x y) (* z t)))
1.7b	(cbrt (- (* x y) (* z t)))
1.7b	(cbrt (- (* x y) (* z t)))
1.7b	(cbrt (- (* x y) (* z t)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

3.0ms	(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)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (- (* x y) (* z t)))
115.0ms	(cbrt (- (* x y) (* z t)))
120.0ms	(cbrt (- (* x y) (* z t)))
113.0ms	(cbrt (- (* x y) (* z t)))

simplify95.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (89.0ms)

Iter	Nodes	Cost
0	182	576
1	496	540
2	1453	516
3	3371	512
4	5001	504

prune250.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
2.7b	(- (pow (* x y) 3) (pow (* z t) 3))
3.1b	(* (* z t) (+ (* z t) (* x y)))
38.2b	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

rewrite46.0ms

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:

9.0ms	(+ (* (* 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)))
20.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

series479.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
206.0ms	(- (pow (* x y) 3) (pow (* z t) 3))
52.0ms	(* (* z t) (+ (* z t) (* x y)))
136.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

simplify140.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (123.0ms)

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

prune342.0ms

Filtered

121 candidates to 92 candidates (76.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes171.0ms

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

sample491.0ms

Algorithm

intervals

Results

235.0ms

10479×

body

valid