Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

385×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.5b	(* (* a z) b)

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

24.0ms	(+ (+ x (* y z)) (* t a))
6.0ms	(+ x (* y z))
91.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
18.0ms	(* (* a z) b)

series163.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (+ x (* y z)) (* t a))
21.0ms	(+ x (* y z))
74.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
23.0ms	(* (* a z) b)

simplify48.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	335	378
1	1670	347
2	5002	342

prune290.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.3b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.4b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

2.0ms	(cbrt b)
2.0ms	(cbrt b)
121.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
37.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series503.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt b)
179.0ms	(cbrt b)
41.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
100.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify49.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	258	535
1	1318	385
2	5001	337

prune383.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* a z) b)
15.4b	(cbrt (* (* a z) b))
15.4b	(cbrt (* (* a z) b))
15.4b	(cbrt (* (* a z) b))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

18.0ms	(* (* a z) b)
13.0ms	(cbrt (* (* a z) b))
13.0ms	(cbrt (* (* a z) b))
13.0ms	(cbrt (* (* a z) b))

series286.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* a z) b)
88.0ms	(cbrt (* (* a z) b))
88.0ms	(cbrt (* (* a z) b))
86.0ms	(cbrt (* (* a z) b))

simplify76.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	181	286
1	716	238
2	3196	229
3	5001	210

prune438.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* a z) b)
15.4b	(cbrt (* (* a z) b))
15.4b	(cbrt (* (* a z) b))
15.4b	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

19.0ms	(* (* a z) b)
13.0ms	(cbrt (* (* a z) b))
13.0ms	(cbrt (* (* a z) b))
100.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* a z) b)
85.0ms	(cbrt (* (* a z) b))
82.0ms	(cbrt (* (* a z) b))
85.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

simplify74.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	196	341
1	753	283
2	3300	271
3	5001	215

prune701.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes255.0ms

Accuracy

-21.7% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.1b

bsearch69.0ms

Steps

Iters	Range		Point
9	4.483219134845768e+127	3.6371470708009874e+132	1.0788850138771907e+132

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

end0.0ms

sample844.0ms

Algorithm

intervals

Results

454.0ms

11889×

body

valid