Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

334×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	3
1	34	3
2	72	3
3	100	3
4	108	3
5	108	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (* x y) (* z y))
6.4b	(* (- (* x y) (* z y)) t)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`flip3--` `distribute-rgt-out--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

3.0ms	(- (* x y) (* z y))
6.0ms	(* (- (* x y) (* z y)) t)

series83.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- (* x y) (* z y))
48.0ms	(* (- (* x y) (* z y)) t)

simplify105.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	157	205
1	644	173
2	3801	169
3	5001	169

prune107.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
6.5b	(* y (* (- x z) t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`associate-l`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

6.0ms	(* (- x z) t)
7.0ms	(* y (* (- x z) t))

series72.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- x z) t)
43.0ms	(* y (* (- x z) t))

simplify108.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	183	193
1	784	160
2	4688	160
3	5001	160

prune110.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

6.4b	(* (- (* x y) (* z y)) t)
6.9b	(cbrt (* (- (* x y) (* z y)) t))
6.9b	(cbrt (* (- (* x y) (* z y)) t))
6.9b	(cbrt (* (- (* x y) (* z y)) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*l/`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube`
4×	`flip3--` `associate-l` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`distribute-rgt-out--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

6.0ms	(* (- (* x y) (* z y)) t)
5.0ms	(cbrt (* (- (* x y) (* z y)) t))
5.0ms	(cbrt (* (- (* x y) (* z y)) t))
5.0ms	(cbrt (* (- (* x y) (* z y)) t))

series607.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- (* x y) (* z y)) t)
184.0ms	(cbrt (* (- (* x y) (* z y)) t))
188.0ms	(cbrt (* (- (* x y) (* z y)) t))
190.0ms	(cbrt (* (- (* x y) (* z y)) t))

simplify41.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	296	593
1	1082	540
2	5001	526

prune275.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.0b	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
2.7b	(* (* (* y (- x z)) (cbrt t)) (cbrt t))
3.1b	(* (* y (- x z)) (cbrt t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`associate-r`
16×	`add-cbrt-cube`
12×	`cbrt-prod` `associate-*l/`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*r/`
4×	`add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
1×	`pow1/3`

Counts

4 → 89

Calls

4 calls:

1.0ms	(cbrt t)
14.0ms	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
11.0ms	(* (* (* y (- x z)) (cbrt t)) (cbrt t))
8.0ms	(* (* y (- x z)) (cbrt t))

series623.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt t)
74.0ms	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
202.0ms	(* (* (* y (- x z)) (cbrt t)) (cbrt t))
157.0ms	(* (* y (- x z)) (cbrt t))

simplify67.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	402	713
1	2102	562
2	5001	516

prune227.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes370.0ms

Accuracy

74.4% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 6.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample586.0ms

Algorithm

intervals

Results

314.0ms

10679×

body

valid