Details

sample53.0ms

Algorithm

intervals

Results

24.0ms

263×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	16
1	102	16
2	292	16
3	803	16
4	2143	16
5	3616	16
6	4166	16
7	5002	16

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 99

Calls

4 calls:

67.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
25.0ms	(* (+ (* x y) z) y)
49.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
118.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series443.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
30.0ms	(* (+ (* x y) z) y)
46.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
305.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify68.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	531	1215
1	2150	1085
2	5001	1065

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 25.0b

localize33.0ms

Local error

Found 4 expressions with local error:

17.2b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
17.2b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
17.2b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
25.5b	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite553.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 78

Calls

4 calls:

12.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
11.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
14.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
515.0ms	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series781.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
158.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
158.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
312.0ms	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify56.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	393	1942
1	1265	1777
2	5001	1683

prune2.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 25.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
25.2b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
24×	`prod-exp`
22×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`1-exp` `div-exp`
9×	`associate-l`
7×	`cbrt-unprod`
6×	`rec-exp` `times-frac` `associate-*l/`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `pow-prod-down` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`-commutative` `associate-/l` `unswap-sqr`
2×	`frac-times` `pow-flip` `div-inv`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r` `un-div-inv` `inv-pow`

Counts

4 → 118

Calls

4 calls:

25.0ms	(* (+ (* x y) z) y)
49.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
11.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
156.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (+ (* x y) z) y)
50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
52.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
301.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify70.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	545	1168
1	2207	978
2	5001	910

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 25.0b

localize35.0ms

Local error

Found 4 expressions with local error:

16.3b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
16.3b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
16.3b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
21.8b	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) 1))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `cbrt-div`
11×	`add-cbrt-cube`
10×	`associate-*l/`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
8×	`associate-/r/`
6×	`prod-exp`
5×	`div-exp`
4×	`pow1` `expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `pow1/3` `cbrt-unprod` `associate-/l*`
2×	`1-exp` `associate-*r/`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 80

Calls

4 calls:

27.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
27.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
27.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
265.0ms	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) 1))

series884.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
127.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
128.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
495.0ms	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) 1))

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	405	1692
1	1423	1495
2	5001	1451

prune2.3s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 25.0b

regimes1.2s

Accuracy

0% (1.4b remaining)

Error of 29.3b against oracle of 28.0b and baseline of 29.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	29
1	45	29

end0.0ms

sample1.1s

Algorithm

intervals

Results

694.0ms

8246×

body

valid