Details

sample47.0ms

Algorithm

intervals

Results

21.0ms

491×

body

valid

simplify199.0ms

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: 4.1b

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))
0.0b	(* (+ a (* b c)) c)
5.6b	(* (* (+ a (* b c)) c) i)

rewrite43.0ms

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))
10.0ms	(* (+ a (* b c)) c)
12.0ms	(* (* (+ a (* b c)) c) i)

series705.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ a (* b c))
575.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
44.0ms	(* (+ a (* b c)) c)
60.0ms	(* (* (+ a (* b c)) c) i)

simplify73.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (58.0ms)

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

prune259.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
6.0b	(* (+ a (* b c)) (* c i))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

41.0ms	(* 2.0 (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
2.0ms	(+ a (* b c))
17.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
10.0ms	(* (+ a (* b c)) (* c i))

series1.4s

Counts

4 → 12

Calls

4 calls:

708.0ms	(* 2.0 (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
32.0ms	(+ a (* b c))
603.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
58.0ms	(* (+ a (* b c)) (* c i))

simplify74.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	494	985
1	2277	896
2	5001	884

prune294.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

6.0b	(* (+ a (* b c)) (* c i))
13.9b	(cbrt (* (+ a (* b c)) (* c i)))
13.9b	(cbrt (* (+ a (* b c)) (* c i)))
13.9b	(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)))

series488.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (+ a (* b c)) (* c i))
141.0ms	(cbrt (* (+ a (* b c)) (* c i)))
133.0ms	(cbrt (* (+ a (* b c)) (* c i)))
143.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify50.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (37.0ms)

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

prune343.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

6.0b	(* (+ a (* b c)) (* c i))
13.9b	(cbrt (* (+ a (* b c)) (* c i)))
13.9b	(cbrt (* (+ a (* b c)) (* c i)))
14.8b	(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)))
2.0ms	(cbrt (* c i))

series406.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (+ a (* b c)) (* c i))
143.0ms	(cbrt (* (+ a (* b c)) (* c i)))
135.0ms	(cbrt (* (+ a (* b c)) (* c i)))
68.0ms	(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

prune339.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.5b

regimes922.0ms

Accuracy

0% (0.9b remaining)

Error of 1.9b against oracle of 1.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

686.0ms

15150×

body

valid