Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

313×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	25	3
2	36	3
3	40	3
4	46	3
5	58	3
6	93	3
7	130	3
8	163	3
9	273	3
10	507	3
11	1618	3
12	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

12.0ms	(* y (+ z x))
2.0ms	(+ x (* y (+ z x)))

series49.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* y (+ z x))
26.0ms	(+ x (* y (+ z x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	186	164
1	769	149
2	3884	149
3	5001	149

prune71.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

2.0ms	(+ (* y z) (* y x))
7.0ms	(+ x (+ (* y z) (* y x)))

series52.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (* y z) (* y x))
26.0ms	(+ x (+ (* y z) (* y x)))

simplify86.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	171	168
1	679	149
2	2849	147
3	5001	147

prune65.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series709.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt y) (cbrt y))
170.0ms	(cbrt y)
169.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify84.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune188.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* y z) (* y x))) (cbrt (+ (* y z) (* y x))))
3.0b	(cbrt (+ (* y z) (* y x)))
3.0b	(cbrt (+ (* y z) (* y x)))
3.0b	(cbrt (+ (* y z) (* y x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

18.0ms	(* (cbrt (+ (* y z) (* y x))) (cbrt (+ (* y z) (* y x))))
2.0ms	(cbrt (+ (* y z) (* y x)))
2.0ms	(cbrt (+ (* y z) (* y x)))
2.0ms	(cbrt (+ (* y z) (* y x)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (cbrt (+ (* y z) (* y x))) (cbrt (+ (* y z) (* y x))))
109.0ms	(cbrt (+ (* y z) (* y x)))
103.0ms	(cbrt (+ (* y z) (* y x)))
103.0ms	(cbrt (+ (* y z) (* y x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	278	1043
1	941	971
2	3464	887
3	5001	876

prune312.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes75.0ms

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	11	4
1	11	4

end0.0ms

sample394.0ms

Algorithm

intervals

Results

196.0ms

10155×

body

valid