Details

sample29.0ms

Algorithm

intervals

Results

17.0ms

350×

body

valid

simplify5.0ms

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

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` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

2.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify78.0ms

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

prune33.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* t z))
0.2b	(pow (- (* x y) (* t z)) 3)
36.2b	(cbrt (pow (- (* x y) (* t z)) 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 60

Calls

3 calls:

2.0ms	(- (* x y) (* t z))
5.0ms	(pow (- (* x y) (* t z)) 3)
4.0ms	(cbrt (pow (- (* x y) (* t z)) 3))

series219.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (* x y) (* t z))
134.0ms	(pow (- (* x y) (* t z)) 3)
41.0ms	(cbrt (pow (- (* x y) (* t z)) 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	251	435
1	1097	414
2	5001	408

prune121.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) (* t z))
0.1b	(* (pow (- (* x y) (* t z)) 2) (- (* x y) (* t z)))
0.3b	(pow (- (* x y) (* t z)) 2)
36.2b	(cbrt (* (pow (- (* x y) (* t z)) 2) (- (* x y) (* t z))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
7×	`unpow-prod-down`
6×	`pow1` `add-cbrt-cube` `add-log-exp`
5×	`unpow2`
4×	`associate-*r/` `unswap-sqr`
3×	`sub-neg` `pow-unpow` `flip3--` `associate-r` `prod-exp` `flip--` `sqr-pow`
2×	`distribute-rgt-in` `pow-to-exp` `cbrt-div` `distribute-lft-in` `pow3` `pow-exp`
1×	`cbrt-prod` `pow-pow` `pow-plus` `pow1/3` `diff-log` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

2.0ms	(- (* x y) (* t z))
25.0ms	(* (pow (- (* x y) (* t z)) 2) (- (* x y) (* t z)))
4.0ms	(pow (- (* x y) (* t z)) 2)
8.0ms	(cbrt (* (pow (- (* x y) (* t z)) 2) (- (* x y) (* t z))))

series286.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* x y) (* t z))
137.0ms	(* (pow (- (* x y) (* t z)) 2) (- (* x y) (* t z)))
63.0ms	(pow (- (* x y) (* t z)) 2)
42.0ms	(cbrt (* (pow (- (* x y) (* t z)) 2) (- (* x y) (* t z))))

simplify48.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	309	713
1	1329	547
2	5001	527

prune197.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (* (* x y) x) (* (* 2 t) (* x z)))
4.7b	(* y (- (* (* x y) x) (* (* 2 t) (* x z))))
7.7b	(* (* 2 t) (* x z))
36.2b	(cbrt (* (+ (* (* t z) (* t z)) (* y (- (* (* x y) x) (* (* 2 t) (* x z))))) (- (* x y) (* t z))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `cbrt-div`
6×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`flip3--` `flip--`
4×	`frac-times` `associate-r/` `associate-r` `associate-l*`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative`
1×	`cbrt-prod` `pow1/3` `diff-log` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

7.0ms	(- (* (* x y) x) (* (* 2 t) (* x z)))
23.0ms	(* y (- (* (* x y) x) (* (* 2 t) (* x z))))
9.0ms	(* (* 2 t) (* x z))
18.0ms	(cbrt (* (+ (* (* t z) (* t z)) (* y (- (* (* x y) x) (* (* 2 t) (* x z))))) (- (* x y) (* t z))))

series394.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* (* x y) x) (* (* 2 t) (* x z)))
91.0ms	(* y (- (* (* x y) x) (* (* 2 t) (* x z))))
33.0ms	(* (* 2 t) (* x z))
209.0ms	(cbrt (* (+ (* (* t z) (* t z)) (* y (- (* (* x y) x) (* (* 2 t) (* x z))))) (- (* x y) (* t z))))

simplify89.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	533	1085
1	2444	999
2	5003	991

prune240.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes113.0ms

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

sample704.0ms

Algorithm

intervals

Results

450.0ms

10467×

body

valid