Details

sample77.0ms

Algorithm

intervals

Results

32.0ms

498×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

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: 5.7b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.3b	(* (* x 18.0) y)
3.5b	(* (* (* x 18.0) y) z)
8.5b	(* (* (* (* x 18.0) y) z) t)

rewrite261.0ms

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:

16.0ms	(* (* j 27.0) k)
17.0ms	(* (* x 18.0) y)
51.0ms	(* (* (* x 18.0) y) z)
174.0ms	(* (* (* (* x 18.0) y) z) t)

series116.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* j 27.0) k)
20.0ms	(* (* x 18.0) y)
28.0ms	(* (* (* x 18.0) y) z)
49.0ms	(* (* (* (* x 18.0) y) z) t)

simplify68.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (12.0ms)

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

prune377.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.3b

localize28.0ms

Local error

Found 4 expressions with local error:

8.5b	(* (* (* (* x 18.0) y) z) t)
16.5b	(cbrt (* (* (* (* x 18.0) y) z) t))
16.5b	(cbrt (* (* (* (* x 18.0) y) z) t))
16.5b	(cbrt (* (* (* (* x 18.0) y) z) t))

rewrite666.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 59

Calls

4 calls:

173.0ms	(* (* (* (* x 18.0) y) z) t)
162.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
163.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
166.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))

series488.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* (* (* x 18.0) y) z) t)
146.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
145.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
146.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))

simplify51.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	323	530
1	1456	452
2	5001	440

prune452.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.3b

localize40.0ms

Local error

Found 4 expressions with local error:

8.5b	(* (* (* (* x 18.0) y) z) t)
16.5b	(cbrt (* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t)))
16.5b	(cbrt (* (* (* (* x 18.0) y) z) t))
16.5b	(cbrt (* (* (* (* x 18.0) y) z) t))

rewrite1.2s

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 59

Calls

4 calls:

174.0ms	(* (* (* (* x 18.0) y) z) t)
676.0ms	(cbrt (* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t)))
164.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
166.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))

series514.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* (* (* x 18.0) y) z) t)
171.0ms	(cbrt (* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t)))
148.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
149.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))

simplify54.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	349	597
1	1513	509
2	5001	494

prune530.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
2.8b	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
3.5b	(* (* (* x 18.0) y) z)
5.8b	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

rewrite951.0ms

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)
699.0ms	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
52.0ms	(* (* (* x 18.0) y) z)
192.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

series481.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt t)
80.0ms	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
29.0ms	(* (* (* x 18.0) y) z)
174.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

simplify92.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (82.0ms)

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

prune466.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.3b

regimes1.2s

Accuracy

49.5% (2.4b remaining)

Error of 3.2b against oracle of 0.7b and baseline of 5.5b

bsearch6.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	63
1	70	63
2	76	63
3	76	63

end0.0ms

sample2.1s

Algorithm

intervals

Results

989.0ms

16109×

body

valid