Details

sample41.0ms

Algorithm

intervals

Results

18.0ms

266×

body

valid

simplify107.0ms

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: 31.4b

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)
30.6b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite98.0ms

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:

19.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
10.0ms	(* (+ (* x y) z) y)
17.0ms	(* (+ (* (+ y a) y) b) y)
48.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series449.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
38.0ms	(* (+ (* x y) z) y)
34.0ms	(* (+ (* (+ y a) y) b) y)
324.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify70.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	509	1200
1	2222	1083
2	5001	1081

prune476.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 30.4b

localize28.0ms

Local error

Found 4 expressions with local error:

21.7b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
21.7b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
21.7b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
30.6b	(/ (+ (* (+ (* (* (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))

rewrite232.0ms

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:

5.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
5.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
5.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
217.0ms	(/ (+ (* (+ (* (* (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))

series838.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
170.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
168.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
329.0ms	(/ (+ (* (+ (* (* (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))

simplify49.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (32.0ms)

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

prune504.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 30.4b

localize37.0ms

Local error

Found 4 expressions with local error:

21.7b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
21.7b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
21.7b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
25.8b	(/ (* (cbrt (+ (* (+ (* (* (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)) (cbrt (+ (* (+ (* (* (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) (cbrt (+ (* (+ (* (* (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))))

rewrite581.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`cbrt-prod`
24×	`associate-/r*`
22×	`cbrt-div`
16×	`add-exp-log`
11×	`flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

5.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
5.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
5.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
563.0ms	(/ (* (cbrt (+ (* (+ (* (* (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)) (cbrt (+ (* (+ (* (* (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) (cbrt (+ (* (+ (* (* (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))))

series832.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
168.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
164.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
333.0ms	(/ (* (cbrt (+ (* (+ (* (* (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)) (cbrt (+ (* (+ (* (* (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) (cbrt (+ (* (+ (* (* (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))))

simplify116.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	639	7675
1	2569	7108
2	5001	6756

prune908.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 30.4b

localize51.0ms

Local error

Found 4 expressions with local error:

21.7b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
21.7b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
21.7b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
21.7b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
5.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
5.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
5.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))

series683.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
171.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
172.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
170.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))

simplify56.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	170	652
1	440	608
2	1772	588
3	5002	584

prune638.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 30.4b

regimes630.0ms

Accuracy

0% (1.0b remaining)

Error of 28.7b against oracle of 27.7b and baseline of 28.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	16
1	41	16

end0.0ms

sample934.0ms

Algorithm

intervals

Results

566.0ms

8243×

body

valid