Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

259×

body

valid

simplify81.0ms

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: 29.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
29.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite114.0ms

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:

32.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
13.0ms	(* (+ (* x y) z) y)
18.0ms	(* (+ (* (+ y a) y) b) y)
48.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series462.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
33.0ms	(* (+ (* x y) z) y)
34.0ms	(* (+ (* (+ y a) y) b) y)
317.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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	546	1234
1	2234	1084
2	5002	1065

prune594.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 28.8b

localize27.0ms

Local error

Found 4 expressions with local error:

21.9b	(cbrt (+ (* (+ y a) y) b))
21.9b	(cbrt (+ (* (+ y a) y) b))
21.9b	(cbrt (+ (* (+ y a) y) b))
29.0b	(/ (+ (* (+ (* (+ (* (+ (* 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))

rewrite194.0ms

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:

5.0ms	(cbrt (+ (* (+ y a) y) b))
5.0ms	(cbrt (+ (* (+ y a) y) b))
5.0ms	(cbrt (+ (* (+ y a) y) b))
179.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

series669.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (+ (* (+ y a) y) b))
113.0ms	(cbrt (+ (* (+ y a) y) b))
108.0ms	(cbrt (+ (* (+ y a) y) b))
337.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify51.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (35.0ms)

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

prune603.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 28.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
29.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (fma (+ y a) y b) (cbrt y)) (cbrt y)) (cbrt y)) c) y) i))

rewrite98.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `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 → 72

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
95.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (fma (+ y a) y b) (cbrt y)) (cbrt y)) (cbrt y)) c) y) i))

series926.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt y)
188.0ms	(cbrt y)
184.0ms	(cbrt y)
367.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (fma (+ y a) y b) (cbrt y)) (cbrt y)) (cbrt y)) c) y) i))

simplify110.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	270	1111
1	886	1004
2	3949	981
3	5001	980

prune500.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 28.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1/2 (fma y (fma (pow (cbrt (+ (* (+ y a) y) b)) 3) y c) i))
0.5b	(pow (cbrt (+ (* (+ y a) y) b)) 3)
21.9b	(cbrt (+ (* (+ y a) y) b))
28.7b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (/ 1/2 (fma y (fma (pow (cbrt (+ (* (+ y a) y) b)) 3) y c) i)) 2))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log`
15×	`add-cbrt-cube`
10×	`pow1`
9×	`cbrt-prod` `times-frac`
6×	`unpow-prod-down` `cube-prod`
5×	`associate-*l/` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `cbrt-div` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-l` `pow-prod-down` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `frac-times` `pow-pow` `pow1/3` `div-exp`
1×	`cube-mult` `pow-to-exp` `frac-2neg` `unpow3` `associate-r/` `associate-r` `pow-exp` `clear-num` `-commutative` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 105

Calls

4 calls:

2.0ms	(/ 1/2 (fma y (fma (pow (cbrt (+ (* (+ y a) y) b)) 3) y c) i))
9.0ms	(pow (cbrt (+ (* (+ y a) y) b)) 3)
4.0ms	(cbrt (+ (* (+ y a) y) b))
60.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (/ 1/2 (fma y (fma (pow (cbrt (+ (* (+ y a) y) b)) 3) y c) i)) 2))

series816.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ 1/2 (fma y (fma (pow (cbrt (+ (* (+ y a) y) b)) 3) y c) i))
66.0ms	(pow (cbrt (+ (* (+ y a) y) b)) 3)
110.0ms	(cbrt (+ (* (+ y a) y) b))
537.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (/ 1/2 (fma y (fma (pow (cbrt (+ (* (+ y a) y) b)) 3) y c) i)) 2))

simplify109.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	547	1369
1	3052	1138
2	5002	1133

prune555.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 28.8b

regimes518.0ms

Accuracy

0% (1.1b remaining)

Error of 29.6b against oracle of 28.5b and baseline of 29.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	27
1	45	27

end0.0ms

sample889.0ms

Algorithm

intervals

Results

540.0ms

8249×

body

valid