Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

394×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	5
1	25	5
2	27	5
3	27	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

3.0ms	(+ (* x y) (* z t))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series90.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* x y) (* z t))
57.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify79.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	187	190
1	747	179
2	2644	177
3	5001	177

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
0.0b	(+ (* x y) (* z t))
0.3b	(pow (+ (* x y) (* z t)) 3)
31.6b	(cbrt (pow (+ (* x y) (* z t)) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sum-log` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 70

Calls

4 calls:

9.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
4.0ms	(+ (* x y) (* z t))
4.0ms	(pow (+ (* x y) (* z t)) 3)
4.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

series247.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
33.0ms	(+ (* x y) (* z t))
127.0ms	(pow (+ (* x y) (* z t)) 3)
32.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

simplify57.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	340	578
1	1694	519
2	5002	513

prune201.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (pow (* a b) 3) (pow (+ (* x y) (* z t)) 3))
1.8b	(+ (pow (+ (* x y) (* z t)) 2) (* (* a b) (- (* a b) (+ (* x y) (* z t)))))
3.1b	(* (* a b) (- (* a b) (+ (* x y) (* z t))))
36.0b	(/ (+ (pow (* a b) 3) (pow (+ (* x y) (* z t)) 3)) (+ (pow (+ (* x y) (* z t)) 2) (* (* a b) (- (* a b) (+ (* x y) (* z t))))))

rewrite49.0ms

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-+r+` `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:

10.0ms	(+ (pow (* a b) 3) (pow (+ (* x y) (* z t)) 3))
8.0ms	(+ (pow (+ (* x y) (* z t)) 2) (* (* a b) (- (* a b) (+ (* x y) (* z t)))))
10.0ms	(* (* a b) (- (* a b) (+ (* x y) (* z t))))
19.0ms	(/ (+ (pow (* a b) 3) (pow (+ (* x y) (* z t)) 3)) (+ (pow (+ (* x y) (* z t)) 2) (* (* a b) (- (* a b) (+ (* x y) (* z t))))))

series4.1s

Counts

4 → 12

Calls

4 calls:

3.0s	(+ (pow (* a b) 3) (pow (+ (* x y) (* z t)) 3))
673.0ms	(+ (pow (+ (* x y) (* z t)) 2) (* (* a b) (- (* a b) (+ (* x y) (* z t)))))
87.0ms	(* (* a b) (- (* a b) (+ (* x y) (* z t))))
367.0ms	(/ (+ (pow (* a b) 3) (pow (+ (* x y) (* z t)) 3)) (+ (pow (+ (* x y) (* z t)) 2) (* (* a b) (- (* a b) (+ (* x y) (* z t))))))

simplify87.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	507	1963
1	2541	1789
2	5001	1786

prune360.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes250.0ms

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	16	5
1	16	5

end0.0ms

sample810.0ms

Algorithm

intervals

Results

401.0ms

11987×

body

valid