Details

sample81.0ms

Algorithm

intervals

Results

54.0ms

503×

body

valid

simplify189.0ms

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: 7.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(+ (* x y) (* z t))
0.1b	(* (+ a (* b c)) c)
8.6b	(* (* (+ a (* b c)) c) i)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

2.0ms	(+ a (* b c))
2.0ms	(+ (* x y) (* z t))
7.0ms	(* (+ a (* b c)) c)
11.0ms	(* (* (+ a (* b c)) c) i)

series166.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ a (* b c))
32.0ms	(+ (* x y) (* z t))
46.0ms	(* (+ a (* b c)) c)
63.0ms	(* (* (+ a (* b c)) c) i)

simplify42.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	317	375
1	1380	320
2	5001	316

prune230.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(+ (* x y) (* z t))
6.2b	(* (+ a (* b c)) (* c i))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`flip3-+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `associate-*l/` `sum-log`
1×	`associate-r` `*-commutative`

Counts

3 → 42

Calls

3 calls:

2.0ms	(+ a (* b c))
2.0ms	(+ (* x y) (* z t))
10.0ms	(* (+ a (* b c)) (* c i))

series122.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ a (* b c))
32.0ms	(+ (* x y) (* z t))
63.0ms	(* (+ a (* b c)) (* c i))

simplify125.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	278	266
1	1058	227
2	4533	223
3	5001	223

prune167.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.2b

localize17.0ms

Local error

Found 4 expressions with local error:

2.0b	(cbrt (+ a (* b c)))
2.0b	(cbrt (+ a (* b c)))
2.0b	(cbrt (+ a (* b c)))
3.4b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

rewrite53.0ms

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:

1.0ms	(cbrt (+ a (* b c)))
1.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
45.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (+ a (* b c)))
103.0ms	(cbrt (+ a (* b c)))
104.0ms	(cbrt (+ a (* b c)))
62.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

simplify56.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	515	1576
1	1753	1342
2	5001	1225

prune388.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.2b

localize23.0ms

Local error

Found 4 expressions with local error:

2.0b	(cbrt (+ a (* b c)))
2.0b	(cbrt (+ a (* b c)))
2.0b	(cbrt (+ a (* b c)))
3.4b	(* (* (* 1 (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

1.0ms	(cbrt (+ a (* b c)))
1.0ms	(cbrt (+ a (* b c)))
4.0ms	(cbrt (+ a (* b c)))
72.0ms	(* (* (* 1 (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (+ a (* b c)))
106.0ms	(cbrt (+ a (* b c)))
110.0ms	(cbrt (+ a (* b c)))
60.0ms	(* (* (* 1 (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

simplify82.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	637	1817
1	2786	1518
2	5001	1334

prune375.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.2b

regimes620.0ms

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

sample2.3s

Algorithm

intervals

Results

1.6s

15430×

body

valid