Details

sample29.0ms

Algorithm

intervals

Results

18.0ms

347×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+ (* x y) (* z t))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(+ (* x y) (* z t))

simplify115.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	100	74
1	363	67
2	1051	67
3	2931	67
4	5001	67

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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))))
1.3b	(sqrt (+ (* x y) (* z t)))
1.3b	(sqrt (+ (* x y) (* z t)))

rewrite31.0ms

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×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

2.0ms	(+ (* x y) (* z t))
19.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
3.0ms	(sqrt (+ (* x y) (* z t)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x y) (* z t))
34.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
74.0ms	(sqrt (+ (* x y) (* z t)))
74.0ms	(sqrt (+ (* x y) (* z t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	237	768
1	959	698
2	5002	674

prune221.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
1.8b	(* (* z t) (- (* z t) (* x y)))
2.5b	(+ (pow (* x y) 3) (pow (* z t) 3))
37.5b	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

11.0ms	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
12.0ms	(* (* z t) (- (* z t) (* x y)))
8.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
40.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

series477.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
54.0ms	(* (* z t) (- (* z t) (* x y)))
195.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
139.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

simplify109.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	437	1484
1	2562	1357
2	5001	1352

prune265.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes127.0ms

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	3
1	10	3

end0.0ms

sample814.0ms

Algorithm

intervals

Results

551.0ms

10424×

body

valid