Details

sample19.0ms

Algorithm

intervals

Results

6.0ms

323×

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

prune1.0ms

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))

rewrite8.0ms

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:

7.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify127.0ms

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

prune29.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
1.8b	(* (* z t) (- (* z t) (* x y)))
2.4b	(+ (pow (* x y) 3) (pow (* z t) 3))
35.6b	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

rewrite154.0ms

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:

31.0ms	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
33.0ms	(* (* z t) (- (* z t) (* x y)))
12.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
75.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

series507.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
60.0ms	(* (* z t) (- (* z t) (* x y)))
197.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
156.0ms	(/ (+ (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 (95.0ms)

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

prune239.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (* z t) (- (* z t) (* x y)))
21.9b	(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
21.9b	(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
23.1b	(/ (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
14×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`sqrt-div` `associate-/r*`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`distribute-rgt-in` `sub-neg` `rem-sqrt-square` `distribute-lft-in` `associate-*r/` `associate-/r/` `associate-/l/` `pow-div`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `associate-l` `clear-num` `*-commutative` `flip--` `div-inv`

Counts

4 → 99

Calls

4 calls:

32.0ms	(* (* z t) (- (* z t) (* x y)))
36.0ms	(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
36.0ms	(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
110.0ms	(/ (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))))

series425.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* z t) (- (* z t) (* x y)))
124.0ms	(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
120.0ms	(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
122.0ms	(/ (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	364	2007
1	1866	1727
2	5001	1715

prune278.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes129.0ms

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

sample541.0ms

Algorithm

intervals

Results

202.0ms

10358×

body

valid