Details

sample50.0ms

Algorithm

intervals

Results

18.0ms

471×

body

valid

simplify195.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize18.0ms

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

rewrite98.0ms

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:

7.0ms	(+ (* x y) (* z t))
46.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
16.0ms	(* (+ a (* b c)) c)
27.0ms	(* (* (+ a (* b c)) c) i)

series713.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* x y) (* z t))
578.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
41.0ms	(* (+ a (* b c)) c)
57.0ms	(* (* (+ a (* b c)) c) i)

simplify60.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (53.0ms)

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

prune279.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.5b

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)))
7.2b	(* (+ a (* b c)) (* c i))

rewrite85.0ms

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:

5.0ms	(+ a (* b c))
8.0ms	(+ (* x y) (* z t))
46.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
25.0ms	(* (+ a (* b c)) (* c i))

series686.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ a (* b c))
29.0ms	(+ (* x y) (* z t))
578.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
56.0ms	(* (+ a (* b c)) (* c i))

simplify55.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (47.0ms)

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

prune467.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 1.5b

localize23.0ms

Local error

Found 4 expressions with local error:

7.2b	(* (+ a (* b c)) (* c i))
11.0b	(cbrt (* (+ a (* b c)) (* c i)))
11.0b	(cbrt (* (+ a (* b c)) (* c i)))
11.0b	(cbrt (* (+ a (* b c)) (* c i)))

rewrite70.0ms

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:

27.0ms	(* (+ a (* b c)) (* c i))
13.0ms	(cbrt (* (+ a (* b c)) (* c i)))
14.0ms	(cbrt (* (+ a (* b c)) (* c i)))
14.0ms	(cbrt (* (+ a (* b c)) (* c i)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (+ a (* b c)) (* c i))
129.0ms	(cbrt (* (+ a (* b c)) (* c i)))
121.0ms	(cbrt (* (+ a (* b c)) (* c i)))
125.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify42.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (33.0ms)

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

prune335.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 1.5b

localize25.0ms

Local error

Found 4 expressions with local error:

7.2b	(* (+ a (* b c)) (* c i))
11.0b	(cbrt (* (+ a (* b c)) (* c i)))
11.0b	(cbrt (* (+ a (* b c)) (* c i)))
13.1b	(cbrt (* c i))

rewrite58.0ms

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:

26.0ms	(* (+ a (* b c)) (* c i))
14.0ms	(cbrt (* (+ a (* b c)) (* c i)))
13.0ms	(cbrt (* (+ a (* b c)) (* c i)))
3.0ms	(cbrt (* c i))

series367.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (+ a (* b c)) (* c i))
123.0ms	(cbrt (* (+ a (* b c)) (* c i)))
129.0ms	(cbrt (* (+ a (* b c)) (* c i)))
59.0ms	(cbrt (* c i))

simplify41.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (35.0ms)

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

prune316.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 1.5b

regimes980.0ms

Accuracy

39.5% (0.6b remaining)

Error of 1.5b against oracle of 0.9b and baseline of 1.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	25
1	49	25
2	49	25

end0.0ms

sample1.5s

Algorithm

intervals

Results

638.0ms

14937×

body

valid