Details

sample72.0ms

Algorithm

intervals

Results

35.0ms

495×

body

valid

simplify149.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.4b	(* (* x 18.0) y)
3.4b	(* (* (* (* x 18.0) y) z) t)
6.4b	(* (* (* x 18.0) y) z)

rewrite120.0ms

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:

7.0ms	(* (* x 4.0) i)
7.0ms	(* (* x 18.0) y)
81.0ms	(* (* (* (* x 18.0) y) z) t)
22.0ms	(* (* (* x 18.0) y) z)

series117.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 4.0) i)
19.0ms	(* (* x 18.0) y)
44.0ms	(* (* (* (* x 18.0) y) z) t)
30.0ms	(* (* (* x 18.0) y) z)

simplify66.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	355	423
1	2124	320
2	5002	320

prune298.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.1b

localize27.0ms

Local error

Found 4 expressions with local error:

6.4b	(* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z)
14.2b	(cbrt (* (* x 18.0) y))
14.2b	(cbrt (* (* x 18.0) y))
14.2b	(cbrt (* (* x 18.0) y))

rewrite81.0ms

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:

61.0ms	(* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z)
5.0ms	(cbrt (* (* x 18.0) y))
8.0ms	(cbrt (* (* x 18.0) y))
5.0ms	(cbrt (* (* x 18.0) y))

series421.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z)
111.0ms	(cbrt (* (* x 18.0) y))
96.0ms	(cbrt (* (* x 18.0) y))
99.0ms	(cbrt (* (* x 18.0) y))

simplify117.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	212	532
1	826	394
2	4345	315
3	5002	300

prune322.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 4.0) i)
3.4b	(* (* (* x 18.0) (* y z)) t)
5.2b	(* (* x 18.0) (* y z))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

6.0ms	(* (* j 27.0) k)
7.0ms	(* (* x 4.0) i)
33.0ms	(* (* (* x 18.0) (* y z)) t)
10.0ms	(* (* x 18.0) (* y z))

series112.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* j 27.0) k)
19.0ms	(* (* x 4.0) i)
41.0ms	(* (* (* x 18.0) (* y z)) t)
30.0ms	(* (* x 18.0) (* y z))

simplify66.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	428	456
1	2242	337
2	5001	337

prune298.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.3b	(* 18.0 (* y z))
3.4b	(* (* x (* 18.0 (* y z))) t)
5.0b	(* x (* 18.0 (* y z)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (* x 4.0) i)
6.0ms	(* 18.0 (* y z))
50.0ms	(* (* x (* 18.0 (* y z))) t)
18.0ms	(* x (* 18.0 (* y z)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x 4.0) i)
17.0ms	(* 18.0 (* y z))
43.0ms	(* (* x (* 18.0 (* y z))) t)
31.0ms	(* x (* 18.0 (* y z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	347	423
1	1833	320
2	5002	320

prune303.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

Accuracy

72.6% (1.8b remaining)

Error of 2.1b against oracle of 0.4b and baseline of 6.7b

bsearch261.0ms

Steps

Iters	Range		Point
7	45264.06840193658	3853887.1751495698	52701.75695032712
9	-3.2389626356297846e-08	-3.476796662239649e-13	-9.131812771087195e-10

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	39
1	64	39

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

16194×

body

valid