Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

336×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	19	4
1	45	4
2	82	3
3	127	3
4	168	3
5	224	3
6	359	3
7	666	3
8	763	3
9	763	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- x) (fma 0.12 x 0.253) 1.0)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (- x) (fma 0.12 x 0.253) 1.0)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(fma (- x) (fma 0.12 x 0.253) 1.0)

simplify72.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	66
1	102	53
2	433	53
3	2132	53
4	5001	53

prune28.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.0b	(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `fma-def` `fma-neg` `associate-r` `associate-l` `prod-diff` `log1p-expm1-u`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `associate--r+`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

2.0ms	(+ 0.253 (* x 0.12))
2.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
7.0ms	(* x (+ 0.253 (* x 0.12)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ 0.253 (* x 0.12))
30.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
64.0ms	(* x (+ 0.253 (* x 0.12)))

simplify39.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	259	349
1	1106	284
2	5001	274

prune148.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow (cbrt 1.0) 3) (* x 0.253))
0.0b	(- (- (pow (cbrt 1.0) 3) (* x 0.253)) (* x (* x 0.12)))
0.1b	(* x (* x 0.12))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

39×	`prod-diff`
21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-neg`
20×	`associate--l+`
18×	`cbrt-prod` `unpow-prod-down` `cube-prod`
10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`diff-log`
3×	`expm1-log1p-u` `cube-mult` `sub-neg` `unpow3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `sqr-pow`
2×	`flip3--` `flip--`
1×	`associate--l-` `associate-r` `*-commutative`

Counts

3 → 112

Calls

3 calls:

21.0ms	(- (pow (cbrt 1.0) 3) (* x 0.253))
114.0ms	(- (- (pow (cbrt 1.0) 3) (* x 0.253)) (* x (* x 0.12)))
6.0ms	(* x (* x 0.12))

series96.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (pow (cbrt 1.0) 3) (* x 0.253))
27.0ms	(- (- (pow (cbrt 1.0) 3) (* x 0.253)) (* x (* x 0.12)))
27.0ms	(* x (* x 0.12))

simplify52.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	354	699
1	1320	574
2	5001	544

prune286.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow (cbrt 1.0) 3) (* x 0.253))
0.0b	(- (- (pow (cbrt 1.0) 3) (* x 0.253)) (* (pow x 2) 0.12))
0.1b	(* (pow x 2) 0.12)

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

39×	`prod-diff`
29×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`unpow-prod-down`
21×	`fma-neg`
20×	`associate--l+`
18×	`cbrt-prod` `cube-prod`
10×	`add-log-exp`
8×	`add-exp-log` `associate-l`
5×	`add-cbrt-cube` `sqr-pow`
4×	`diff-log` `unswap-sqr`
3×	`pow1` `expm1-log1p-u` `cube-mult` `sub-neg` `unpow3` `associate-r` `prod-exp` `log1p-expm1-u`
2×	`flip3--` `flip--` `unpow2`
1×	`associate--l-` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 121

Calls

3 calls:

21.0ms	(- (pow (cbrt 1.0) 3) (* x 0.253))
111.0ms	(- (- (pow (cbrt 1.0) 3) (* x 0.253)) (* (pow x 2) 0.12))
9.0ms	(* (pow x 2) 0.12)

series94.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (pow (cbrt 1.0) 3) (* x 0.253))
28.0ms	(- (- (pow (cbrt 1.0) 3) (* x 0.253)) (* (pow x 2) 0.12))
25.0ms	(* (pow x 2) 0.12)

simplify58.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	364	730
1	1377	605
2	5001	597

prune335.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

end0.0ms

sample310.0ms

Algorithm

intervals

Results

200.0ms

10646×

body

valid