Details

sample38.0ms

Algorithm

intervals

Results

16.0ms

259×

body

valid

simplify99.0ms

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: 29.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
29.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite110.0ms

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:

32.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) 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))

series472.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
33.0ms	(* (+ (* x y) z) y)
39.0ms	(* (+ (* (+ y a) y) b) y)
318.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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: 1 (13.0ms)

Iter	Nodes	Cost
0	520	1262
1	2301	1130
2	5001	1130

prune473.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 28.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
29.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

rewrite132.0ms

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` `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 → 64

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
130.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

series1.2s

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt y)
184.0ms	(cbrt y)
184.0ms	(cbrt y)
650.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

simplify104.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	256	1138
1	869	1043
2	3761	1037
3	5001	1034

prune428.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 28.8b

localize31.0ms

Local error

Found 4 expressions with local error:

21.9b	(cbrt (+ (* (+ y a) y) b))
21.9b	(cbrt (+ (* (+ y a) y) b))
21.9b	(cbrt (+ (* (+ y a) y) b))
29.0b	(/ (+ (* (+ (* (+ (* (+ (* 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))

rewrite181.0ms

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:

4.0ms	(cbrt (+ (* (+ y a) y) b))
4.0ms	(cbrt (+ (* (+ y a) y) b))
4.0ms	(cbrt (+ (* (+ y a) y) b))
167.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

series662.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (+ (* (+ y a) y) b))
108.0ms	(cbrt (+ (* (+ y a) y) b))
113.0ms	(cbrt (+ (* (+ y a) y) b))
333.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify44.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	331	1684
1	1122	1547
2	5002	1523

prune485.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 28.8b

localize34.0ms

Local error

Found 4 expressions with local error:

21.9b	(cbrt (+ (* (+ y a) y) b))
21.9b	(cbrt (+ (* (+ y a) y) b))
21.9b	(cbrt (+ (* (+ y a) y) b))
28.7b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i)))

rewrite419.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`add-cube-cbrt` `associate-r`
13×	`add-exp-log`
11×	`times-frac`
9×	`cbrt-prod` `add-cbrt-cube`
6×	`pow1` `cbrt-div` `flip3-+` `flip-+`
4×	`prod-exp` `add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`frac-times` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 81

Calls

4 calls:

4.0ms	(cbrt (+ (* (+ y a) y) b))
4.0ms	(cbrt (+ (* (+ y a) y) b))
4.0ms	(cbrt (+ (* (+ y a) y) b))
403.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i)))

series680.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (+ (* (+ y a) y) b))
111.0ms	(cbrt (+ (* (+ y a) y) b))
113.0ms	(cbrt (+ (* (+ y a) y) b))
342.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i)))

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	457	1868
1	1977	1661
2	5003	1640

prune490.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 28.8b

regimes511.0ms

Accuracy

0% (1.2b remaining)

Error of 29.6b against oracle of 28.5b and baseline of 29.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	21
1	45	21

end0.0ms

sample919.0ms

Algorithm

intervals

Results

549.0ms

8249×

body

valid