Details

sample67.0ms

Algorithm

intervals

Results

31.0ms

479×

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ a (* b c))
0.1b	(* (+ a (* b c)) c)
11.2b	(* (* (+ 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	(+ (* x y) (* z t))
2.0ms	(+ a (* b c))
7.0ms	(* (+ a (* b c)) c)
12.0ms	(* (* (+ a (* b c)) c) i)

series169.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x y) (* z t))
25.0ms	(+ a (* b c))
45.0ms	(* (+ a (* b c)) c)
65.0ms	(* (* (+ a (* b c)) c) i)

simplify43.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (38.0ms)

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

prune234.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
0.0b	(+ (* x y) (* z t))
0.0b	(+ a (* b c))
5.2b	(* (+ a (* b c)) (* c i))

rewrite33.0ms

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:

17.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
2.0ms	(+ (* x y) (* z t))
2.0ms	(+ a (* b c))
10.0ms	(* (+ a (* b c)) (* c i))

series705.0ms

Counts

4 → 12

Calls

4 calls:

584.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
33.0ms	(+ (* x y) (* z t))
26.0ms	(+ a (* b c))
62.0ms	(* (+ a (* b c)) (* c i))

simplify52.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (46.0ms)

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

prune253.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.6b

localize21.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (+ a (* b c)) (* c i))
6.6b	(cbrt (* (+ a (* b c)) (* c i)))
6.6b	(cbrt (* (+ a (* b c)) (* c i)))
6.6b	(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)))

series474.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (+ a (* b c)) (* c i))
135.0ms	(cbrt (* (+ a (* b c)) (* c i)))
137.0ms	(cbrt (* (+ a (* b c)) (* c i)))
140.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify38.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (32.0ms)

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

prune330.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt i)
0.6b	(cbrt i)
2.8b	(* (* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i))) (cbrt i))
8.5b	(* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

0.0ms	(cbrt i)
0.0ms	(cbrt i)
67.0ms	(* (* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i))) (cbrt i))
22.0ms	(* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i)))

series686.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt i)
180.0ms	(cbrt i)
102.0ms	(* (* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i))) (cbrt i))
223.0ms	(* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i)))

simplify56.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	357	737
1	1780	527
2	5002	473

prune308.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.6b

regimes939.0ms

Accuracy

0% (1.1b remaining)

Error of 1.9b against oracle of 0.7b and baseline of 1.9b

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

731.0ms

15106×

body

valid