Details

sample39.0ms

Algorithm

intervals

Results

19.0ms

265×

body

valid

simplify127.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize39.0ms

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)
28.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite143.0ms

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)
21.0ms	(* (+ (* (+ y a) y) b) y)
91.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series446.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
35.0ms	(* (+ (* x y) z) y)
33.0ms	(* (+ (* (+ y a) y) b) y)
327.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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 (49.0ms)

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

prune451.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.6b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.2b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite156.0ms

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:

10.0ms	(* (+ (* x y) z) y)
18.0ms	(* (+ (* (+ y a) y) b) y)
25.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
100.0ms	(* (+ (* (+ (* (+ (* (+ (* 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:

32.0ms	(* (+ (* x y) z) y)
36.0ms	(* (+ (* (+ y a) y) b) y)
51.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
332.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify72.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	561	1615
1	2719	1422
2	5002	1396

prune460.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 28.2b

localize27.0ms

Local error

Found 4 expressions with local error:

20.3b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.3b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.3b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
28.4b	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*l/` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

7.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
7.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
7.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
139.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
185.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
186.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
448.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify47.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	402	1958
1	1253	1790
2	5001	1745

prune499.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 28.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
28.4b	(/ (+ (* (+ (* (+ (* (* (+ (* x y) z) (* (cbrt y) (cbrt y))) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite162.0ms

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)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
159.0ms	(/ (+ (* (+ (* (+ (* (* (+ (* x y) z) (* (cbrt y) (cbrt y))) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series960.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt y)
182.0ms	(cbrt y)
181.0ms	(cbrt y)
413.0ms	(/ (+ (* (+ (* (+ (* (* (+ (* x y) z) (* (cbrt y) (cbrt y))) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify107.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	256	1138
1	869	1043
2	3735	1037
3	5001	1034

prune386.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 28.2b

regimes837.0ms

Accuracy

0% (1.1b remaining)

Error of 29.3b against oracle of 28.2b 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

sample898.0ms

Algorithm

intervals

Results

543.0ms

8268×

body

valid