Details

sample47.0ms

Algorithm

intervals

Results

22.0ms

476×

body

valid

simplify192.0ms

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: 4.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
5.7b	(* (* (+ a (* b c)) c) i)

rewrite24.0ms

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	(+ a (* b c))
7.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
5.0ms	(* (+ a (* b c)) c)
7.0ms	(* (* (+ a (* b c)) c) i)

series691.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ a (* b c))
559.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
47.0ms	(* (+ a (* b c)) c)
59.0ms	(* (* (+ a (* b c)) c) i)

simplify65.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	431	642
1	1992	581
2	5002	573

prune286.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
3.2b	(* (+ a (* b c)) (* c i))

rewrite22.0ms

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:

4.0ms	(+ (* x y) (* z t))
3.0ms	(+ a (* b c))
7.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
7.0ms	(* (+ a (* b c)) (* c i))

series701.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* x y) (* z t))
24.0ms	(+ a (* b c))
575.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
64.0ms	(* (+ a (* b c)) (* c i))

simplify53.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (46.0ms)

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

prune272.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
1.5b	(cbrt (+ a (* b c)))
1.5b	(cbrt (+ a (* b c)))
1.5b	(cbrt (+ a (* b c)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

18.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
3.0ms	(cbrt (+ a (* b c)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
107.0ms	(cbrt (+ a (* b c)))
108.0ms	(cbrt (+ a (* b c)))
114.0ms	(cbrt (+ a (* b c)))

simplify56.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	515	1576
1	1752	1342
2	5002	1225

prune467.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* c i)))
1.5b	(cbrt (+ a (* b c)))
1.5b	(cbrt (+ a (* b c)))
1.5b	(cbrt (+ a (* b c)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

13.0ms	(* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* c i)))
2.0ms	(cbrt (+ a (* b c)))
3.0ms	(cbrt (+ a (* b c)))
3.0ms	(cbrt (+ a (* b c)))

series632.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* c i)))
107.0ms	(cbrt (+ a (* b c)))
109.0ms	(cbrt (+ a (* b c)))
111.0ms	(cbrt (+ a (* b c)))

simplify126.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	343	797
1	1115	736
2	4680	701
3	5002	695

prune367.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.0b

regimes895.0ms

Accuracy

0% (1.2b remaining)

Error of 2.0b against oracle of 0.8b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	18
1	31	18

end0.0ms

sample1.4s

Algorithm

intervals

Results

759.0ms

14983×

body

valid