Details

sample43.0ms

Algorithm

intervals

Results

16.0ms

265×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
24.6b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite269.0ms

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:

64.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
39.0ms	(* (+ (* (+ y a) y) b) y)
47.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
115.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series442.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
30.0ms	(* (+ (* (+ y a) y) b) y)
48.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
302.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify65.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	535	1242
1	2186	1109
2	5001	1089

prune572.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 24.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.4b	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
24.3b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite232.0ms

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:

24.0ms	(* (+ (* x y) z) y)
47.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
11.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
146.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series429.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (+ (* x y) z) y)
48.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
53.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
294.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify69.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (55.0ms)

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

prune546.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 24.2b

localize29.0ms

Local error

Found 4 expressions with local error:

21.3b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
21.3b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
21.3b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
24.6b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

25.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
25.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
24.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
277.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
193.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
193.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
458.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

simplify123.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	337	2106
1	1037	1891
2	4461	1708
3	5001	1706

prune522.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 24.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
24.6b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (* (fma (fma (+ y a) y b) y c) (cbrt y)) (cbrt y)) (cbrt y)) i))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
182.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (* (fma (fma (+ y a) y b) y c) (cbrt y)) (cbrt y)) (cbrt y)) i))

series850.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt y)
168.0ms	(cbrt y)
173.0ms	(cbrt y)
341.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (* (fma (fma (+ y a) y b) y c) (cbrt y)) (cbrt y)) (cbrt y)) i))

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	268	1068
1	935	961
2	5001	941

prune440.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 24.2b

regimes556.0ms

Accuracy

0% (1.1b remaining)

Error of 28.9b against oracle of 27.8b and baseline of 28.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	15
1	41	15
2	41	15

end0.0ms

sample1.0s

Algorithm

intervals

Results

499.0ms

8245×

body

valid