Details

sample105.0ms

Algorithm

intervals

Results

68.0ms

530×

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* j 27.0) k)
0.7b	(* (* x 18.0) y)
4.7b	(* (* (* x 18.0) y) z)
5.1b	(* (* (* (* x 18.0) y) z) t)

rewrite110.0ms

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:

6.0ms	(* (* j 27.0) k)
6.0ms	(* (* x 18.0) y)
20.0ms	(* (* (* x 18.0) y) z)
75.0ms	(* (* (* (* x 18.0) y) z) t)

series108.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* j 27.0) k)
19.0ms	(* (* x 18.0) y)
26.0ms	(* (* (* x 18.0) y) z)
44.0ms	(* (* (* (* x 18.0) y) z) t)

simplify67.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	360	423
1	2141	320
2	5001	320

prune284.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* j (* 27.0 k))
0.7b	(* (* x 18.0) y)
4.7b	(* (* (* x 18.0) y) z)
5.1b	(* (* (* (* x 18.0) y) z) t)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(* j (* 27.0 k))
8.0ms	(* (* x 18.0) y)
20.0ms	(* (* (* x 18.0) y) z)
77.0ms	(* (* (* (* x 18.0) y) z) t)

series106.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* j (* 27.0 k))
21.0ms	(* (* x 18.0) y)
25.0ms	(* (* (* x 18.0) y) z)
42.0ms	(* (* (* (* x 18.0) y) z) t)

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	352	422
1	2030	319
2	5002	319

prune296.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.1b

localize32.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* (* (cbrt (* (* (* x 18.0) y) z)) (cbrt (* (* (* x 18.0) y) z))) (cbrt (* (* (* x 18.0) y) z))) t)
15.0b	(cbrt (* (* (* x 18.0) y) z))
15.0b	(cbrt (* (* (* x 18.0) y) z))
15.0b	(cbrt (* (* (* x 18.0) y) z))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

89.0ms	(* (* (* (cbrt (* (* (* x 18.0) y) z)) (cbrt (* (* (* x 18.0) y) z))) (cbrt (* (* (* x 18.0) y) z))) t)
33.0ms	(cbrt (* (* (* x 18.0) y) z))
29.0ms	(cbrt (* (* (* x 18.0) y) z))
18.0ms	(cbrt (* (* (* x 18.0) y) z))

series432.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* (* (cbrt (* (* (* x 18.0) y) z)) (cbrt (* (* (* x 18.0) y) z))) (cbrt (* (* (* x 18.0) y) z))) t)
108.0ms	(cbrt (* (* (* x 18.0) y) z))
110.0ms	(cbrt (* (* (* x 18.0) y) z))
110.0ms	(cbrt (* (* (* x 18.0) y) z))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	243	664
1	984	490
2	5002	414

prune334.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.1b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1` `add-exp-log` `add-cbrt-cube`
27×	`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 → 85

Calls

4 calls:

6.0ms	(* (* x 4.0) i)
6.0ms	(* j (* 27.0 k))
32.0ms	(* (* (* x 18.0) (* y z)) t)
10.0ms	(* (* x 18.0) (* y z))

series109.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 4.0) i)
17.0ms	(* j (* 27.0 k))
42.0ms	(* (* (* x 18.0) (* y z)) t)
31.0ms	(* (* x 18.0) (* y z))

simplify69.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	420	455
1	2131	336
2	5002	336

prune248.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.8b

regimes869.0ms

Accuracy

63.7% (2.0b remaining)

Error of 2.3b against oracle of 0.3b and baseline of 5.8b

bsearch321.0ms

Steps

Iters	Range		Point
10	9.841908220783252e-65	1.3551000965633995e-48	1.3371642120911437e-48
8	-3.4721697353572904e+90	-2.5320055468108804e+86	-2.5984752602216353e+86

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	30
1	60	30

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.1s

16142×

body

valid