Details

sample45.0ms

Algorithm

intervals

Results

21.0ms

474×

body

valid

simplify193.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	9
1	77	9
2	230	9
3	735	9
4	1920	9
5	2994	9
6	3388	9
7	4078	9
8	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
7.6b	(* (* (+ a (* b c)) c) i)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod`
2×	`diff-log` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

3.0ms	(+ (* x y) (* z t))
19.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
8.0ms	(* (+ a (* b c)) c)
13.0ms	(* (* (+ a (* b c)) c) i)

series748.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x y) (* z t))
596.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
46.0ms	(* (+ a (* b c)) c)
65.0ms	(* (* (+ a (* b c)) c) i)

simplify61.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	436	655
1	2076	599
2	5003	591

prune276.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
5.6b	(* (+ a (* b c)) (* c i))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`associate-*l/`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`frac-sub`
3×	`associate-l` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
2×	`+-commutative` `diff-log`
1×	`sub-neg` `flip3--` `associate-r` `associate--l+` `*-commutative` `flip--`

Counts

4 → 60

Calls

4 calls:

2.0ms	(+ a (* b c))
2.0ms	(+ (* x y) (* z t))
18.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
11.0ms	(* (+ a (* b c)) (* c i))

series747.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ a (* b c))
40.0ms	(+ (* x y) (* z t))
615.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
64.0ms	(* (+ a (* b c)) (* c i))

simplify56.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	404	600
1	1775	555
2	5003	547

prune258.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt (+ a (* b c)))
1.3b	(cbrt (+ a (* b c)))
2.4b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
2.7b	(* (cbrt (+ a (* b c))) (* c i))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*l/`
30×	`pow1` `add-exp-log` `flip3-+` `flip-+`
28×	`frac-times`
18×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`associate-l`
4×	`add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 103

Calls

4 calls:

2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
48.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
12.0ms	(* (cbrt (+ a (* b c))) (* c i))

series625.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (+ a (* b c)))
114.0ms	(cbrt (+ a (* b c)))
66.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
331.0ms	(* (cbrt (+ a (* b c))) (* c i))

simplify61.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	563	1624
1	1869	1383
2	5002	1267

prune419.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.7b

localize18.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt (+ a (* b c)))
1.3b	(cbrt (+ a (* b c)))
2.4b	(* (* (cbrt (+ a (* b c))) (* 1 (cbrt (+ a (* b c))))) (* (cbrt (+ a (* b c))) (* c i)))
2.7b	(* (cbrt (+ a (* b c))) (* c i))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
57×	`add-exp-log`
45×	`pow1`
42×	`prod-exp`
34×	`associate-*l/`
30×	`flip3-+` `pow-prod-down` `cbrt-unprod` `flip-+`
28×	`frac-times` `add-cbrt-cube`
26×	`associate-*r/`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
4×	`add-log-exp`
3×	`1-exp`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 115

Calls

4 calls:

2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
71.0ms	(* (* (cbrt (+ a (* b c))) (* 1 (cbrt (+ a (* b c))))) (* (cbrt (+ a (* b c))) (* c i)))
12.0ms	(* (cbrt (+ a (* b c))) (* c i))

series678.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (+ a (* b c)))
111.0ms	(cbrt (+ a (* b c)))
64.0ms	(* (* (cbrt (+ a (* b c))) (* 1 (cbrt (+ a (* b c))))) (* (cbrt (+ a (* b c))) (* c i)))
390.0ms	(* (cbrt (+ a (* b c))) (* c i))

simplify82.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	676	1865
1	2666	1557
2	5001	1380

prune386.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.7b

regimes706.0ms

Accuracy

0% (0.8b remaining)

Error of 1.6b against oracle of 0.8b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

691.0ms

15181×

body

valid