Details

sample41.0ms

Algorithm

intervals

Results

20.0ms

261×

body

valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 26.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
25.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite61.0ms

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:

13.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
13.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms	(* (+ (* x y) z) y)
26.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series497.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
54.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
37.0ms	(* (+ (* x y) z) y)
336.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify63.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (51.0ms)

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

prune505.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.5b

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)
0.4b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
25.8b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite64.0ms

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:

12.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms	(* (+ (* x y) z) y)
13.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series475.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
35.0ms	(* (+ (* x y) z) y)
57.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
325.0ms	(* (+ (* (+ (* (+ (* (+ (* 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	550	1633
1	2657	1447
2	5001	1421

prune507.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 25.5b

localize32.0ms

Local error

Found 4 expressions with local error:

6.6b	(cbrt (+ (* x y) z))
6.6b	(cbrt (+ (* x y) z))
6.6b	(cbrt (+ (* x y) z))
25.8b	(* (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite58.0ms

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 (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
44.0ms	(* (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (+ (* x y) z))
106.0ms	(cbrt (+ (* x y) z))
103.0ms	(cbrt (+ (* x y) z))
326.0ms	(* (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify68.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	475	1773
1	1994	1584
2	5001	1551

prune538.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.5b

localize27.0ms

Local error

Found 4 expressions with local error:

15.1b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
15.1b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
15.1b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
25.8b	(/ (+ (* (+ (* (* (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))

rewrite79.0ms

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))
6.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
46.0ms	(/ (+ (* (+ (* (* (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))

series859.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
174.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
172.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
337.0ms	(/ (+ (* (+ (* (* (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))

simplify48.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (32.0ms)

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

prune490.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 25.5b

regimes779.0ms

Accuracy

0% (1.1b remaining)

Error of 28.9b against oracle of 27.8b and baseline of 28.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	26
1	50	26

end0.0ms

sample910.0ms

Algorithm

intervals

Results

530.0ms

8213×

body

valid