Details

sample80.0ms

Algorithm

intervals

Results

34.0ms

520×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	67	15
1	225	13
2	823	12
3	3028	12
4	5001	12

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* x 18.0) y)
0.7b	(* (* j 27.0) k)
4.6b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

17.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
54.0ms	(* (* (* x 18.0) y) z)
185.0ms	(* (* (* (* x 18.0) y) z) t)

series106.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
25.0ms	(* (* (* x 18.0) y) z)
45.0ms	(* (* (* (* x 18.0) y) z) t)

simplify74.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	368	453
1	2149	350
2	5001	350

prune372.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.5b	(* (* x 18.0) y)
4.6b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

17.0ms	(* (* x 4.0) i)
19.0ms	(* (* x 18.0) y)
53.0ms	(* (* (* x 18.0) y) z)
202.0ms	(* (* (* (* x 18.0) y) z) t)

series106.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* x 4.0) i)
19.0ms	(* (* x 18.0) y)
29.0ms	(* (* (* x 18.0) y) z)
40.0ms	(* (* (* (* x 18.0) y) z) t)

simplify72.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	363	453
1	2140	350
2	5002	350

prune388.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.5b	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
3.4b	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))
4.6b	(* (* (* x 18.0) y) z)

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

87×	`pow1` `add-exp-log`
63×	`pow-prod-down` `prod-exp` `cbrt-unprod`
62×	`add-cbrt-cube`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`pow1/3`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt t)
760.0ms	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
203.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))
54.0ms	(* (* (* x 18.0) y) z)

series483.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt t)
80.0ms	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
177.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))
30.0ms	(* (* (* x 18.0) y) z)

simplify104.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	451	1089
1	2600	745
2	5001	674

prune500.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.8b

localize33.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (* (* (* (* x 18.0) y) z) (cbrt t)) (cbrt t)) (cbrt t))
1.7b	(* (* (* (* x 18.0) y) z) (cbrt t))
1.9b	(* (* (* (* (* x 18.0) y) z) (cbrt t)) (cbrt t))
4.6b	(* (* (* x 18.0) y) z)

rewrite3.5s

Algorithm

rewrite-expression-head

Rules

74×	`pow1` `add-exp-log`
52×	`pow-prod-down` `prod-exp` `cbrt-unprod`
46×	`add-cbrt-cube`
21×	`associate-r`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 119

Calls

4 calls:

2.6s	(* (* (* (* (* (* x 18.0) y) z) (cbrt t)) (cbrt t)) (cbrt t))
180.0ms	(* (* (* (* x 18.0) y) z) (cbrt t))
675.0ms	(* (* (* (* (* x 18.0) y) z) (cbrt t)) (cbrt t))
56.0ms	(* (* (* x 18.0) y) z)

series388.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (* (* (* (* (* x 18.0) y) z) (cbrt t)) (cbrt t)) (cbrt t))
122.0ms	(* (* (* (* x 18.0) y) z) (cbrt t))
167.0ms	(* (* (* (* (* x 18.0) y) z) (cbrt t)) (cbrt t))
27.0ms	(* (* (* x 18.0) y) z)

simplify116.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	469	1050
1	2867	827
2	5002	800

prune536.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.8b

regimes1.1s

Accuracy

31.5% (3.3b remaining)

Error of 4.0b against oracle of 0.7b and baseline of 5.5b

bsearch290.0ms

Steps

Iters	Range		Point
7	2.0901279045605123e-14	7.485948591812079e-13	1.2263438546550774e-13
10	-1.4592331296234937e+66	-3.6597854604479168e+53	-4.192460273727297e+53

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	51
1	77	51

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s

16311×

body

valid