Details

sample72.0ms

Algorithm

intervals

Results

52.0ms

260×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	16
1	102	16
2	292	16
3	803	16
4	2143	16
5	3616	16
6	4166	16
7	5002	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
28.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite123.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 99

Calls

4 calls:

33.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
19.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
18.0ms	(* (+ (* (+ y a) y) b) y)
50.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series492.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
37.0ms	(* (+ (* (+ 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))

simplify68.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	539	1272
1	2202	1125
2	5001	1105

prune760.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 27.9b

localize32.0ms

Local error

Found 4 expressions with local error:

18.3b	(cbrt (+ (* (+ y a) y) b))
18.3b	(cbrt (+ (* (+ y a) y) b))
18.3b	(cbrt (+ (* (+ y a) y) b))
28.0b	(/ (+ (* (+ (* (+ (* (+ (* 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))

rewrite182.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `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 → 78

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))

series614.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (+ (* (+ y a) y) b))
100.0ms	(cbrt (+ (* (+ y a) y) b))
100.0ms	(cbrt (+ (* (+ y a) y) b))
314.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify45.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	351	1732
1	1177	1576
2	5002	1484

prune595.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 27.9b

localize29.0ms

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

rewrite143.0ms

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` `expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `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 → 163

Calls

4 calls:

19.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.0ms	(* (+ (* (+ y a) y) b) y)
46.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
47.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.0s

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
34.0ms	(* (+ (* (+ y a) y) b) y)
435.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
497.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify101.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	709	3452
1	3238	3037
2	5001	2877

prune727.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 27.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.2b	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
28.0b	(* (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log`
20×	`times-frac`
19×	`associate-l`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-r`
6×	`prod-exp`
5×	`associate-*l/` `unswap-sqr`
4×	`expm1-log1p-u` `flip3-+` `div-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*r/` `div-inv`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `inv-pow`

Counts

4 → 120

Calls

4 calls:

11.0ms	(* (+ (* x y) z) y)
22.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
2.0ms	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
60.0ms	(* (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series580.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (+ (* x y) z) y)
59.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
55.0ms	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
432.0ms	(* (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify79.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	598	1247
1	2830	1093
2	5001	1050

prune579.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 27.9b

regimes600.0ms

Accuracy

0% (1.1b remaining)

Error of 28.5b against oracle of 27.3b and baseline of 28.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	27
1	45	27

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.6s

8261×

body

valid