Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

361×

body

valid

simplify12.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

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))
4.9b	(* (* a z) b)

rewrite61.0ms

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))
4.0ms	(+ x (* y z))
9.0ms	(+ (+ x (* y z)) (* t a))
7.0ms	(* (* a z) b)

series172.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
23.0ms	(+ x (* y z))
45.0ms	(+ (+ x (* y z)) (* t a))
25.0ms	(* (* a z) b)

simplify68.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (61.0ms)

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

prune172.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt b)
0.6b	(* (cbrt b) (cbrt b))
1.0b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.0b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1`
36×	`add-exp-log`
23×	`add-sqr-sqrt` `pow-prod-down`
22×	`cbrt-prod` `prod-exp` `cbrt-unprod`
21×	`add-cbrt-cube`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
8×	`associate-l`
7×	`pow1/3`
6×	`swap-sqr`
4×	`add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 103

Calls

4 calls:

0.0ms	(cbrt b)
6.0ms	(* (cbrt b) (cbrt b))
55.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
14.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt b)
193.0ms	(* (cbrt b) (cbrt b))
43.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
103.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify58.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	309	667
1	1671	487
2	5001	440

prune282.0ms

Filtered

115 candidates to 68 candidates (59.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt b))
0.6b	(* (cbrt b) (cbrt b))
1.0b	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
4.0b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

92×	`pow1`
87×	`add-exp-log`
64×	`pow-prod-down`
63×	`prod-exp` `cbrt-unprod`
49×	`add-cbrt-cube`
25×	`cbrt-prod`
22×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `associate-l`
7×	`pow1/3`
6×	`swap-sqr`
4×	`add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 131

Calls

4 calls:

1.0ms	(cbrt (cbrt b))
6.0ms	(* (cbrt b) (cbrt b))
103.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
14.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series599.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt (cbrt b))
200.0ms	(* (cbrt b) (cbrt b))
43.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
100.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify102.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	450	1501
1	2197	971
2	5001	693

prune299.0ms

Filtered

143 candidates to 65 candidates (45.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt b))
0.5b	(cbrt (cbrt b))
1.0b	(* (* (* a z) (* (* (cbrt b) (* (cbrt (cbrt b)) (cbrt (cbrt b)))) (cbrt (cbrt b)))) (cbrt b))
4.0b	(* (* a z) (* (* (cbrt b) (* (cbrt (cbrt b)) (cbrt (cbrt b)))) (cbrt (cbrt b))))

rewrite727.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt (cbrt b))
1.0ms	(cbrt (cbrt b))
571.0ms	(* (* (* a z) (* (* (cbrt b) (* (cbrt (cbrt b)) (cbrt (cbrt b)))) (cbrt (cbrt b)))) (cbrt b))
149.0ms	(* (* a z) (* (* (cbrt b) (* (cbrt (cbrt b)) (cbrt (cbrt b)))) (cbrt (cbrt b))))

series621.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(cbrt (cbrt b))
236.0ms	(cbrt (cbrt b))
49.0ms	(* (* (* a z) (* (* (cbrt b) (* (cbrt (cbrt b)) (cbrt (cbrt b)))) (cbrt (cbrt b)))) (cbrt b))
100.0ms	(* (* a z) (* (* (cbrt b) (* (cbrt (cbrt b)) (cbrt (cbrt b)))) (cbrt (cbrt b))))

simplify68.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	414	1506
1	1966	1008
2	5002	826

prune300.0ms

Filtered

116 candidates to 65 candidates (56.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes217.0ms

Accuracy

14.1% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.9b

bsearch60.0ms

Steps

Iters	Range		Point
10	-1.6824595120069966e-190	-2.0013469747844532e-202	-1.6607943700588965e-190

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	14
1	29	14

end0.0ms

sample803.0ms

Algorithm

intervals

Results

418.0ms

11880×

body

valid