Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

266×

body

valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	16
1	88	16
2	254	16
3	663	16
4	1615	16
5	2362	16
6	2584	16
7	3122	16
8	5001	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
26.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite255.0ms

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×	`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 → 91

Calls

4 calls:

47.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
65.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
25.0ms	(* (+ (* x y) z) y)
116.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series423.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
62.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
29.0ms	(* (+ (* x y) z) y)
287.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify66.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	505	1241
1	2228	1133
2	5002	1131

prune438.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.9b

localize26.0ms

Local error

Found 4 expressions with local error:

18.4b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
18.4b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
18.4b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
26.4b	(/ (+ (* (+ (* (* (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))

rewrite539.0ms

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` `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 → 70

Calls

4 calls:

12.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
11.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
11.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
503.0ms	(/ (+ (* (+ (* (* (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))

series753.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
147.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
155.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
300.0ms	(/ (+ (* (+ (* (* (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))

simplify46.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	371	1878
1	1209	1727
2	5001	1712

prune490.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
0.2b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
26.4b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite396.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
6×	`flip3-+` `associate-*l/` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 115

Calls

4 calls:

66.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
25.0ms	(* (+ (* x y) z) y)
58.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
243.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series451.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
30.0ms	(* (+ (* x y) z) y)
53.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
306.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify78.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	557	1656
1	2723	1472
2	5001	1446

prune474.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 25.9b

localize27.0ms

Local error

Found 4 expressions with local error:

22.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
22.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
22.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
26.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

rewrite492.0ms

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` `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 → 70

Calls

4 calls:

16.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
17.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
17.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
441.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

series676.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
125.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
120.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
307.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

simplify126.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	304	1973
1	1036	1795
2	4590	1763
3	5001	1757

prune413.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 25.9b

regimes658.0ms

Accuracy

0% (1.2b remaining)

Error of 29.3b against oracle of 28.1b and baseline of 29.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	17
1	46	17

end0.0ms

sample996.0ms

Algorithm

intervals

Results

498.0ms

8262×

body

valid