Details

sample31.0ms

Algorithm

intervals

Results

20.0ms

359×

body

valid

simplify12.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x y) (* z y))
5.2b	(* (- (* x y) (* z y)) t)

rewrite12.0ms

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:

2.0ms	(- (* x y) (* z y))
9.0ms	(* (- (* x y) (* z y)) t)

series77.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- (* x y) (* z y))
43.0ms	(* (- (* x y) (* z y)) t)

simplify100.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (23.0ms)

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

prune93.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (- (* x y) (* z y)) t)
5.4b	(cbrt (* (- (* x y) (* z y)) t))
5.4b	(cbrt (* (- (* x y) (* z y)) t))
5.4b	(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:

9.0ms	(* (- (* x y) (* z y)) t)
4.0ms	(cbrt (* (- (* x y) (* z y)) t))
4.0ms	(cbrt (* (- (* x y) (* z y)) t))
4.0ms	(cbrt (* (- (* x y) (* z y)) t))

series562.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (- (* x y) (* z y)) t)
172.0ms	(cbrt (* (- (* x y) (* z y)) t))
176.0ms	(cbrt (* (- (* x y) (* z y)) t))
173.0ms	(cbrt (* (- (* x y) (* z y)) t))

simplify38.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (31.0ms)

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

prune256.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.8b	(* (* y (- x z)) (cbrt t))
1.9b	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
2.2b	(* (* (* y (- x z)) (cbrt t)) (cbrt t))

rewrite252.0ms

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:

0.0ms	(cbrt t)
15.0ms	(* (* y (- x z)) (cbrt t))
185.0ms	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
49.0ms	(* (* (* y (- x z)) (cbrt t)) (cbrt t))

series571.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt t)
131.0ms	(* (* y (- x z)) (cbrt t))
70.0ms	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
193.0ms	(* (* (* y (- x z)) (cbrt t)) (cbrt t))

simplify59.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	402	713
1	2103	562
2	5002	516

prune217.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* (* (* y (- x z)) (cbrt t)) (cbrt (* (cbrt t) (cbrt t)))) (cbrt (cbrt t)))
1.5b	(* (* (* y (- x z)) (cbrt t)) (cbrt (* (cbrt t) (cbrt t))))
1.8b	(* (* y (- x z)) (cbrt t))
1.9b	(* (* (* (* (* y (- x z)) (cbrt t)) (cbrt (* (cbrt t) (cbrt t)))) (cbrt (cbrt t))) (cbrt t))

rewrite979.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1` `add-exp-log`
34×	`pow-prod-down` `prod-exp` `cbrt-unprod`
25×	`associate-r`
22×	`add-cbrt-cube`
20×	`associate-*l/`
16×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-*r/`
4×	`flip3--` `associate-l` `*-commutative` `flip--` `add-log-exp`

Counts

4 → 111

Calls

4 calls:

198.0ms	(* (* (* (* y (- x z)) (cbrt t)) (cbrt (* (cbrt t) (cbrt t)))) (cbrt (cbrt t)))
50.0ms	(* (* (* y (- x z)) (cbrt t)) (cbrt (* (cbrt t) (cbrt t))))
14.0ms	(* (* y (- x z)) (cbrt t))
708.0ms	(* (* (* (* (* y (- x z)) (cbrt t)) (cbrt (* (cbrt t) (cbrt t)))) (cbrt (cbrt t))) (cbrt t))

series782.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (* (* (* y (- x z)) (cbrt t)) (cbrt (* (cbrt t) (cbrt t)))) (cbrt (cbrt t)))
340.0ms	(* (* (* y (- x z)) (cbrt t)) (cbrt (* (cbrt t) (cbrt t))))
145.0ms	(* (* y (- x z)) (cbrt t))
96.0ms	(* (* (* (* (* y (- x z)) (cbrt t)) (cbrt (* (cbrt t) (cbrt t)))) (cbrt (cbrt t))) (cbrt t))

simplify136.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	567	1471
1	3189	1242
2	5001	1201

prune324.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes338.0ms

Accuracy

82.3% (1.3b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 7.1b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample877.0ms

Algorithm

intervals

Results

609.0ms

10774×

body

valid