Details

sample51.0ms

Algorithm

intervals

Results

25.0ms

479×

body

valid

simplify197.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize14.0ms

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)
8.6b	(* (* (+ 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:

2.0ms	(+ (* x y) (* z t))
20.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
7.0ms	(* (+ a (* b c)) c)
12.0ms	(* (* (+ a (* b c)) c) i)

series710.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* x y) (* z t))
575.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
46.0ms	(* (+ a (* b c)) c)
57.0ms	(* (* (+ a (* b c)) c) i)

simplify65.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (53.0ms)

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

prune291.0ms

Filtered

81 candidates to 59 candidates (72.8%)

Pruning

10 alts after pruning (10 fresh and 0 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)))
5.4b	(* (+ a (* b c)) (* c i))

rewrite34.0ms

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))
3.0ms	(+ (* x y) (* z t))
17.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
11.0ms	(* (+ a (* b c)) (* c i))

series709.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ a (* b c))
33.0ms	(+ (* x y) (* z t))
584.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
62.0ms	(* (+ a (* b c)) (* c i))

simplify55.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (48.0ms)

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

prune255.0ms

Filtered

72 candidates to 53 candidates (73.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.7b

localize19.0ms

Local error

Found 4 expressions with local error:

5.4b	(* (+ a (* b c)) (* c i))
11.6b	(cbrt (* (+ a (* b c)) (* c i)))
11.6b	(cbrt (* (+ a (* b c)) (* c i)))
11.6b	(cbrt (* (+ a (* b c)) (* c i)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

11.0ms	(* (+ a (* b c)) (* c i))
6.0ms	(cbrt (* (+ a (* b c)) (* c i)))
6.0ms	(cbrt (* (+ a (* b c)) (* c i)))
6.0ms	(cbrt (* (+ a (* b c)) (* c i)))

series473.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (+ a (* b c)) (* c i))
139.0ms	(cbrt (* (+ a (* b c)) (* c i)))
134.0ms	(cbrt (* (+ a (* b c)) (* c i)))
140.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify44.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	321	576
1	1103	516
2	5001	500

prune331.0ms

Filtered

65 candidates to 53 candidates (81.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt (+ a (* b c)))
1.3b	(cbrt (+ a (* b c)))
2.3b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
2.4b	(* (cbrt (+ a (* b c))) (* c i))

rewrite66.0ms

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)))
45.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
12.0ms	(* (cbrt (+ a (* b c))) (* c i))

series612.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (+ a (* b c)))
110.0ms	(cbrt (+ a (* b c)))
66.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
327.0ms	(* (cbrt (+ a (* b c))) (* c i))

simplify59.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (46.0ms)

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

prune387.0ms

Filtered

115 candidates to 71 candidates (61.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.7b

regimes992.0ms

Accuracy

0% (0.9b remaining)

Error of 1.7b against oracle of 0.8b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

745.0ms

15084×

body

valid