Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

378×

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
5.2b	(* (* a z) b)

rewrite58.0ms

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:

39.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
9.0ms	(+ (+ x (* y z)) (* t a))
7.0ms	(* (* a z) b)

series171.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms	(+ x (* y z))
42.0ms	(+ (+ x (* y z)) (* t a))
25.0ms	(* (* a z) b)

simplify47.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (42.0ms)

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

prune168.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
5.2b	(* (* a z) b)
5.2b	(* (* a z) b)
5.2b	(* (* a z) b)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `associate-l` `*-commutative`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 67

Calls

4 calls:

21.0ms	(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
6.0ms	(* (* a z) b)
8.0ms	(* (* a z) b)
6.0ms	(* (* a z) b)

series231.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
27.0ms	(* (* a z) b)
25.0ms	(* (* a z) b)
25.0ms	(* (* a z) b)

simplify43.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	272	431
1	1093	383
2	5002	374

prune230.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (* a z) b)
13.8b	(cbrt (* (* a z) b))
13.8b	(cbrt (* (* a z) b))
13.8b	(cbrt (* (* a z) b))

rewrite22.0ms

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:

6.0ms	(* (* a z) b)
5.0ms	(cbrt (* (* a z) b))
5.0ms	(cbrt (* (* a z) b))
5.0ms	(cbrt (* (* a z) b))

series286.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* a z) b)
87.0ms	(cbrt (* (* a z) b))
87.0ms	(cbrt (* (* a z) b))
87.0ms	(cbrt (* (* a z) b))

simplify74.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (67.0ms)

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

prune245.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (* a z) b)
5.2b	(* (* a z) b)
5.2b	(* (* a z) b)
5.2b	(* (* a z) b)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (* a z) b)
8.0ms	(* (* a z) b)
6.0ms	(* (* a z) b)
6.0ms	(* (* a z) b)

series101.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* a z) b)
25.0ms	(* (* a z) b)
24.0ms	(* (* a z) b)
25.0ms	(* (* a z) b)

simplify59.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	98	280
1	486	220
2	2390	220
3	5002	220

prune250.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes221.0ms

Accuracy

65.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.2b

bsearch91.0ms

Steps

Iters	Range		Point
9	9.44878571180241e+129	5.416906886348369e+135	7.394757241471236e+132
6	-8.439753275619243e+115	-7.068952241906446e+114	-7.48864513222409e+114

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms

sample821.0ms

Algorithm

intervals

Results

419.0ms

11832×

body

valid