Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

261×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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:

12.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
9.0ms	(* (+ (* (+ y a) y) b) y)
7.0ms	(* (+ (* x y) z) y)
25.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series452.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
36.0ms	(* (+ (* (+ y a) y) b) y)
32.0ms	(* (+ (* x y) z) y)
319.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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

111 → 111

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	533	1196
1	2154	1068
2	5001	1049

prune579.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 27.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) 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))

rewrite69.0ms

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:

9.0ms	(* (+ (* (+ y a) y) b) y)
6.0ms	(* (+ (* x y) z) y)
24.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
25.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series920.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* (+ y a) y) b) y)
32.0ms	(* (+ (* x y) z) y)
403.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
446.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify98.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	707	3406
1	3206	2996
2	5001	2837

prune702.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 27.9b

localize30.0ms

Local error

Found 4 expressions with local error:

19.7b	(cbrt (+ (* (+ y a) y) b))
19.7b	(cbrt (+ (* (+ y a) y) b))
19.7b	(cbrt (+ (* (+ y a) y) b))
28.2b	(/ (+ (* (+ (* (+ (* (+ (* 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))

rewrite64.0ms

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:

6.0ms	(cbrt (+ (* (+ y a) y) b))
6.0ms	(cbrt (+ (* (+ y a) y) b))
6.0ms	(cbrt (+ (* (+ y a) y) b))
44.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

series636.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (+ (* (+ y a) y) b))
105.0ms	(cbrt (+ (* (+ y a) y) b))
104.0ms	(cbrt (+ (* (+ y a) y) b))
323.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify47.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (32.0ms)

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

prune571.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 27.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
0.4b	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
28.2b	(/ (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

483×	`times-frac`
234×	`add-sqr-sqrt`
232×	`add-cube-cbrt` `*-un-lft-identity`
54×	`add-exp-log`
36×	`div-exp`
33×	`div-inv`
31×	`associate-/r/`
22×	`add-cbrt-cube`
21×	`associate-/r*`
19×	`associate-/l*`
16×	`flip3-+` `flip-+`
10×	`cbrt-undiv` `rec-exp` `1-exp`
8×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `clear-num`
2×	`pow-flip` `associate-*l/` `inv-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

4 → 347

Calls

4 calls:

6.0ms	(* (+ (* x y) z) y)
14.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
3.0ms	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
24.0ms	(/ (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

series615.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (+ (* x y) z) y)
112.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
57.0ms	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
414.0ms	(/ (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

simplify111.0ms

Algorithm

egg-herbie

Counts

359 → 359

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1483	8375
1	5001	7673

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 27.9b

regimes555.0ms

Accuracy

0% (1.1b remaining)

Error of 29.7b against oracle of 28.5b and baseline of 29.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	27
1	45	27

end0.0ms

sample871.0ms

Algorithm

intervals

Results

534.0ms

8231×

body

valid