Details

sample119.0ms

Algorithm

intervals

Results

84.0ms

496×

body

valid

simplify141.0ms

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: 5.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 4.0) i)
4.4b	(* (* (* x 18.0) y) z)
5.8b	(* (* (* (* x 18.0) y) z) t)

rewrite111.0ms

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 4.0) i)
20.0ms	(* (* (* x 18.0) y) z)
76.0ms	(* (* (* (* x 18.0) y) z) t)

series103.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (* j 27.0) k)
18.0ms	(* (* x 4.0) i)
25.0ms	(* (* (* x 18.0) y) z)
43.0ms	(* (* (* (* x 18.0) y) z) t)

simplify69.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	425	423
1	2313	320
2	5002	320

prune307.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 4.0) i)
4.4b	(* (* (* x 18.0) y) z)
5.8b	(* (* (* (* 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:

7.0ms	(* j (* 27.0 k))
6.0ms	(* (* x 4.0) i)
21.0ms	(* (* (* x 18.0) y) z)
77.0ms	(* (* (* (* x 18.0) y) z) t)

series104.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* j (* 27.0 k))
21.0ms	(* (* x 4.0) i)
25.0ms	(* (* (* x 18.0) y) z)
42.0ms	(* (* (* (* x 18.0) y) z) t)

simplify72.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	417	422
1	2202	319
2	5001	319

prune274.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.5b

localize27.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (* (* (* x 18.0) y) z) t)
17.7b	(cbrt (* (* (* (* x 18.0) y) z) t))
17.7b	(cbrt (* (* (* (* x 18.0) y) z) t))
17.7b	(cbrt (* (* (* (* x 18.0) y) z) t))

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`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 → 51

Calls

4 calls:

74.0ms	(* (* (* (* x 18.0) y) z) t)
72.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
72.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
73.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))

series431.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* (* (* x 18.0) y) z) t)
134.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
129.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
127.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))

simplify52.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	319	484
1	1446	406
2	5001	394

prune339.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.5b

localize42.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (* (* (* x 18.0) y) z) t)
17.0b	(cbrt (* (* (* x 18.0) y) z))
17.7b	(cbrt (* (* (* (* x 18.0) y) z) t))
17.7b	(cbrt (* (* (* (* x 18.0) y) z) t))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`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 → 51

Calls

4 calls:

74.0ms	(* (* (* (* x 18.0) y) z) t)
18.0ms	(cbrt (* (* (* x 18.0) y) z))
72.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
73.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))

series431.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* (* (* x 18.0) y) z) t)
121.0ms	(cbrt (* (* (* x 18.0) y) z))
128.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
128.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))

simplify57.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	366	465
1	1551	389
2	5001	380

prune419.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.5b

regimes1.1s

Accuracy

43.6% (2.8b remaining)

Error of 3.6b against oracle of 0.8b and baseline of 5.8b

bsearch233.0ms

Steps

Iters	Range		Point
6	1.124538295807104e+41	1.7873520698740824e+42	1.1517027347534679e+41
6	-2.748252806568223e-123	-2.5496425184203603e-124	-2.7072627093647388e-123

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	30
1	60	30

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.8s

16091×

body

valid