Details

sample44.0ms

Algorithm

intervals

Results

19.0ms

265×

body

valid

simplify106.0ms

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: 30.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
29.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite251.0ms

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:

27.0ms	(* (+ (* x y) z) y)
52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
43.0ms	(* (+ (* (+ y a) y) b) y)
127.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series428.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ (* x y) z) y)
48.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
34.0ms	(* (+ (* (+ y a) y) b) y)
311.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify64.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (52.0ms)

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

prune462.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 29.3b

localize29.0ms

Local error

Found 4 expressions with local error:

18.8b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
18.8b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
18.8b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
29.7b	(/ (+ (* (+ (* (* (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))

rewrite589.0ms

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:

13.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
12.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
12.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
550.0ms	(/ (+ (* (+ (* (* (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))

series775.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
153.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
154.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
309.0ms	(/ (+ (* (+ (* (* (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

prune508.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 29.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
29.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

rewrite304.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
299.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

series951.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
180.0ms	(cbrt y)
174.0ms	(cbrt y)
422.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

simplify103.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (93.0ms)

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

prune418.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 29.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.2b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
29.6b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 155

Calls

4 calls:

52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
43.0ms	(* (+ (* (+ y a) y) b) y)
113.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
125.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series938.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.0ms	(* (+ (* (+ y a) y) b) y)
400.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
454.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify94.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	684	3583
1	3345	3308
2	5001	3228

prune529.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 29.3b

regimes527.0ms

Accuracy

0% (1.2b remaining)

Error of 29.2b against oracle of 28.0b and baseline of 29.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	29
1	45	29

end0.0ms

sample1.0s

Algorithm

intervals

Results

510.0ms

8228×

body

valid