Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

264×

body

valid

simplify89.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
32.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite126.0ms

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:

21.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
19.0ms	(* (+ (* (+ y a) y) b) y)
35.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
49.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series480.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
35.0ms	(* (+ (* (+ y a) y) b) y)
74.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
321.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify80.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	539	1272
1	2202	1125
2	5001	1105

prune651.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 31.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma (fma (+ y a) y b) y c) y i)
0.1b	(fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)
0.1b	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
32.0b	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

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

series534.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(fma (fma (fma (+ y a) y b) y c) y i)
93.0ms	(fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)
54.0ms	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
296.0ms	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

simplify100.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	224	538
1	677	455
2	3160	453
3	5002	451

prune361.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 31.0b

localize27.0ms

Local error

Found 4 expressions with local error:

19.5b	(cbrt (+ (* (+ y a) y) b))
19.5b	(cbrt (+ (* (+ y a) y) b))
19.5b	(cbrt (+ (* (+ y a) y) b))
32.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

rewrite188.0ms

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:

4.0ms	(cbrt (+ (* (+ y a) y) b))
4.0ms	(cbrt (+ (* (+ y a) y) b))
4.0ms	(cbrt (+ (* (+ y a) y) b))
173.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

series626.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (+ (* (+ y a) y) b))
105.0ms	(cbrt (+ (* (+ y a) y) b))
103.0ms	(cbrt (+ (* (+ y a) y) b))
315.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

simplify51.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	351	1732
1	1177	1576
2	5002	1484

prune573.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 31.0b

localize28.0ms

Local error

Found 4 expressions with local error:

20.3b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
20.3b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
20.3b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
32.0b	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite312.0ms

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:

9.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
10.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
9.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
282.0ms	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series823.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
166.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
165.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
325.0ms	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify58.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	381	2282
1	1293	2076
2	5001	1933

prune548.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 31.0b

regimes772.0ms

Accuracy

34.1% (0.8b remaining)

Error of 28.7b against oracle of 28.0b and baseline of 29.2b

bsearch98.0ms

Steps

Iters	Range		Point
9	-1.9028993193663646e+72	-1.1283018732590123e+67	-1.6997485156052504e+72

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	27
1	49	27

end0.0ms

sample937.0ms

Algorithm

intervals

Results

569.0ms

8248×

body

valid