Details

sample39.0ms

Algorithm

intervals

Results

19.0ms

261×

body

valid

simplify119.0ms

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	4106	16
7	4854	16
8	5001	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
25.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite112.0ms

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:

30.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
20.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
10.0ms	(* (+ (* x y) z) y)
49.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series466.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
34.0ms	(* (+ (* x y) z) y)
316.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify64.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	531	1215
1	2150	1085
2	5002	1065

prune637.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.4b	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
25.8b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite97.0ms

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:

19.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
10.0ms	(* (+ (* x y) z) y)
4.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
60.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series441.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.0ms	(* (+ (* x y) z) y)
55.0ms	(/ 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)))

simplify67.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	545	1168
1	2207	978
2	5003	910

prune552.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.5b

localize27.0ms

Local error

Found 4 expressions with local error:

6.6b	(cbrt (+ (* x y) z))
6.6b	(cbrt (+ (* x y) z))
6.6b	(cbrt (+ (* x y) z))
25.8b	(* (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
3.0ms	(cbrt (+ (* x y) z))
287.0ms	(* (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series621.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (+ (* x y) z))
103.0ms	(cbrt (+ (* x y) z))
102.0ms	(cbrt (+ (* x y) z))
299.0ms	(* (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify57.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	464	1554
1	1688	1335
2	5001	1230

prune689.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 25.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
25.8b	(/ (+ (* (+ (* (+ (* (+ (* 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))

rewrite87.0ms

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:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
84.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

series921.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt y)
178.0ms	(cbrt y)
176.0ms	(cbrt y)
348.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify64.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (45.0ms)

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

prune475.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 25.5b

regimes568.0ms

Accuracy

0% (1.2b remaining)

Error of 29.0b against oracle of 27.8b and baseline of 29.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	19
1	40	19

end0.0ms

sample895.0ms

Algorithm

intervals

Results

535.0ms

8213×

body

valid