Details

sample48.0ms

Algorithm

intervals

Results

23.0ms

475×

body

valid

simplify196.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 9.1b

localize14.0ms

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)
10.7b	(* (* (+ a (* b c)) c) i)

rewrite41.0ms

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	(+ a (* b c))
18.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
7.0ms	(* (+ a (* b c)) c)
12.0ms	(* (* (+ a (* b c)) c) i)

series730.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ a (* b c))
592.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
48.0ms	(* (+ a (* b c)) c)
64.0ms	(* (* (+ a (* b c)) c) i)

simplify63.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (56.0ms)

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

prune284.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.0b

localize19.0ms

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)))
5.2b	(* (+ 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	(+ (* x y) (* z t))
2.0ms	(+ a (* b c))
17.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
11.0ms	(* (+ a (* b c)) (* c i))

series719.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* x y) (* z t))
26.0ms	(+ a (* b c))
596.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
65.0ms	(* (+ a (* b c)) (* c i))

simplify57.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (50.0ms)

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

prune275.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.0b

localize23.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (+ a (* b c)) (* c i))
8.7b	(cbrt (* (+ a (* b c)) (* c i)))
8.7b	(cbrt (* (+ a (* b c)) (* c i)))
8.7b	(cbrt (* (+ a (* b c)) (* c i)))

rewrite29.0ms

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:

10.0ms	(* (+ 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)))

series491.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ a (* b c)) (* c i))
143.0ms	(cbrt (* (+ a (* b c)) (* c i)))
145.0ms	(cbrt (* (+ a (* b c)) (* c i)))
138.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify40.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (33.0ms)

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

prune379.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 1.0b

localize26.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (+ a (* b c)) (* c i))
8.7b	(cbrt (* (+ a (* b c)) (* c i)))
8.7b	(cbrt (* (+ a (* b c)) (* c i)))
9.4b	(cbrt (* c i))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

10.0ms	(* (+ a (* b c)) (* c i))
6.0ms	(cbrt (* (+ a (* b c)) (* c i)))
6.0ms	(cbrt (* (+ a (* b c)) (* c i)))
1.0ms	(cbrt (* c i))

series425.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (+ a (* b c)) (* c i))
143.0ms	(cbrt (* (+ a (* b c)) (* c i)))
134.0ms	(cbrt (* (+ a (* b c)) (* c i)))
88.0ms	(cbrt (* c i))

simplify43.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	361	481
1	1200	424
2	5001	406

prune325.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 1.0b

regimes1.2s

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	34	23
1	34	23

end0.0ms

sample1.3s

Algorithm

intervals

Results

711.0ms

15371×

body

valid