Details

sample40.0ms

Algorithm

intervals

Results

20.0ms

265×

body

valid

simplify89.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

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)
0.1b	(* (+ (* (+ y a) y) b) y)
28.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite99.0ms

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:

20.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
10.0ms	(* (+ (* x y) z) y)
17.0ms	(* (+ (* (+ y a) y) b) y)
49.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series452.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
38.0ms	(* (+ (* x y) z) y)
35.0ms	(* (+ (* (+ y a) y) b) y)
328.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify67.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	534	1179
1	2148	1042
2	5003	1024

prune630.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 28.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.6b	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
28.2b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite98.0ms

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:

22.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
10.0ms	(* (+ (* x y) z) y)
5.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
58.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
33.0ms	(* (+ (* x y) z) y)
59.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
318.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify68.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (55.0ms)

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

prune580.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (+ y a) y b) y c)
0.1b	(* y (fma (fma x y z) y 27464.7644705))
0.6b	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
28.2b	(* (+ (* (+ (pow (* y (fma (fma x y z) y 27464.7644705)) 1) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
23×	`prod-exp`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`1-exp` `div-exp`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
6×	`rec-exp` `times-frac` `associate-l` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `fma-udef` `associate-/l*`
2×	`frac-times` `pow-flip` `flip3-+` `associate-l/` `-commutative` `flip-+` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `clear-num` `associate-/r` `un-div-inv` `inv-pow`

Counts

4 → 106

Calls

4 calls:

0.0ms	(fma (fma (+ y a) y b) y c)
3.0ms	(* y (fma (fma x y z) y 27464.7644705))
4.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
36.0ms	(* (+ (* (+ (pow (* y (fma (fma x y z) y 27464.7644705)) 1) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(fma (fma (+ y a) y b) y c)
41.0ms	(* y (fma (fma x y z) y 27464.7644705))
60.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
225.0ms	(* (+ (* (+ (pow (* y (fma (fma x y z) y 27464.7644705)) 1) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify60.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	441	1104
1	1877	898
2	5001	852

prune537.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 28.2b

localize29.0ms

Local error

Found 4 expressions with local error:

20.3b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.3b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.3b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
28.4b	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite163.0ms

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:

7.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
7.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
7.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
140.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
198.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
195.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
457.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	424	2035
1	1313	1851
2	5002	1768

prune545.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 28.2b

regimes628.0ms

Accuracy

0% (1.1b remaining)

Error of 29.3b against oracle of 28.2b and baseline of 29.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	14
1	36	14
2	36	14

end0.0ms

sample926.0ms

Algorithm

intervals

Results

564.0ms

8268×

body

valid