Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

336×

body

valid

simplify209.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	84	4
3	206	4
4	406	4
5	540	4
6	706	4
7	957	4
8	1458	4
9	2384	4
10	3658	4
11	4031	4
12	4429	4
13	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize6.0ms

Local error

Found 1 expressions with local error:

2.4b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

7.0ms

(* x (- 1.0 (* (- 1.0 y) z)))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* x (- 1.0 (* (- 1.0 y) z)))

simplify71.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	139	165
1	584	143
2	2608	137
3	5003	137

prune49.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.8b	(* (* x z) (- y 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `add-log-exp`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
11.0ms	(* (* x z) (- y 1.0))

series112.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
47.0ms	(* (* x z) (- y 1.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	257	266
1	1177	224
2	5002	219

prune88.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

2.8b	(* (* x z) (- y 1.0))
5.8b	(cbrt (* (* x z) (- y 1.0)))
5.8b	(cbrt (* (* x z) (- y 1.0)))
5.8b	(cbrt (* (* x z) (- y 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`add-cube-cbrt` `associate-r`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 59

Calls

4 calls:

11.0ms	(* (* x z) (- y 1.0))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))

series639.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* x z) (- y 1.0))
196.0ms	(cbrt (* (* x z) (- y 1.0)))
193.0ms	(cbrt (* (* x z) (- y 1.0)))
198.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	356	735
1	1382	659
2	5001	650

prune238.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
1.2b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
1.5b	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-*r/`
4×	`associate-r` `add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
22.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
9.0ms	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

series543.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt x)
182.0ms	(cbrt x)
65.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
112.0ms	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	334	759
1	1441	577
2	5001	498

prune182.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes233.0ms

Accuracy

83.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	15
1	28	15

end0.0ms

sample427.0ms

Algorithm

intervals

Results

230.0ms

10204×

body

valid