Details

sample75.0ms

Algorithm

intervals

Results

38.0ms

525×

body

valid

simplify137.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* x 18.0) y)
0.5b	(* (* x 4.0) i)
4.5b	(* (* (* x 18.0) y) z)
5.8b	(* (* (* (* x 18.0) y) z) t)

rewrite31.0ms

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×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
7.0ms	(* (* x 4.0) i)
7.0ms	(* (* (* x 18.0) y) z)
9.0ms	(* (* (* (* x 18.0) y) z) t)

series107.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
22.0ms	(* (* x 4.0) i)
25.0ms	(* (* (* x 18.0) y) z)
41.0ms	(* (* (* (* x 18.0) y) z) t)

simplify67.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	355	423
1	2132	320
2	5001	320

prune287.0ms

Filtered

93 candidates to 46 candidates (49.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.6b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.4b	(* (* x 18.0) y)
0.5b	(* (* x 4.0) i)
10.2b	(* (* (* x 18.0) y) (* z t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

5.0ms	(* (* j 27.0) k)
5.0ms	(* (* x 18.0) y)
5.0ms	(* (* x 4.0) i)
9.0ms	(* (* (* x 18.0) y) (* z t))

series98.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (* j 27.0) k)
19.0ms	(* (* x 18.0) y)
22.0ms	(* (* x 4.0) i)
41.0ms	(* (* (* x 18.0) y) (* z t))

simplify62.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	421	417
1	2195	309
2	5001	309

prune284.0ms

Filtered

94 candidates to 45 candidates (47.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.4b	(* (* x 18.0) y)
0.5b	(* (* x 4.0) i)
10.2b	(* (* (* x 18.0) y) (* z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

4.0ms	(* j (* 27.0 k))
5.0ms	(* (* x 18.0) y)
5.0ms	(* (* x 4.0) i)
9.0ms	(* (* (* x 18.0) y) (* z t))

series101.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* j (* 27.0 k))
19.0ms	(* (* x 18.0) y)
18.0ms	(* (* x 4.0) i)
44.0ms	(* (* (* x 18.0) y) (* z t))

simplify60.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	413	416
1	2084	308
2	5001	308

prune315.0ms

Filtered

94 candidates to 46 candidates (48.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.5b	(* (* x 4.0) i)
5.1b	(* y (* z t))
5.9b	(* (* x 18.0) (* y (* z t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

4.0ms	(* j (* 27.0 k))
5.0ms	(* (* x 4.0) i)
5.0ms	(* y (* z t))
9.0ms	(* (* x 18.0) (* y (* z t)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* j (* 27.0 k))
19.0ms	(* (* x 4.0) i)
21.0ms	(* y (* z t))
46.0ms	(* (* x 18.0) (* y (* z t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	404	413
1	1907	305
2	5001	305

prune275.0ms

Filtered

94 candidates to 48 candidates (51.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

regimes968.0ms

Accuracy

66.2% (1.8b remaining)

Error of 2.0b against oracle of 0.2b and baseline of 5.6b

bsearch262.0ms

Steps

Iters	Range		Point
9	1.0954468849478197e-98	2.9587187397732723e-93	5.627715647319951e-96
8	-9.624605052387945e+24	-1.062806651124364e+22	-4.6679080250309635e+24

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	30
1	66	30

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

16069×

body

valid