Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

348×

body

valid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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 3 expressions with local error:

0.0b	(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.0b	(+ 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	(- 1.0 (* x (+ 0.253 (* x 0.12))))
2.0ms	(+ 0.253 (* x 0.12))
7.0ms	(* x (+ 0.253 (* x 0.12)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
37.0ms	(+ 0.253 (* x 0.12))
64.0ms	(* x (+ 0.253 (* x 0.12)))

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (34.0ms)

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

prune141.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)))
0.2b	(* x (* x 0.12))

rewrite147.0ms

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))
115.0ms	(- (- (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))

simplify54.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (45.0ms)

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

prune283.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (fma x 0.253 (* x (* x 0.12))))
0.0b	(fma x 0.253 (* x (* x 0.12)))
0.2b	(* x (* x 0.12))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `*-commutative` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 59

Calls

3 calls:

3.0ms	(- 1.0 (fma x 0.253 (* x (* x 0.12))))
3.0ms	(fma x 0.253 (* x (* x 0.12)))
6.0ms	(* x (* x 0.12))

series111.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- 1.0 (fma x 0.253 (* x (* x 0.12))))
60.0ms	(fma x 0.253 (* x (* x 0.12)))
25.0ms	(* x (* x 0.12))

simplify123.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	217	515
1	712	352
2	4123	326
3	5001	306

prune146.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`prod-diff`
8×	`add-exp-log` `associate-l`
5×	`add-cbrt-cube` `add-log-exp`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `expm1-log1p-u` `fma-neg` `associate-r` `prod-exp` `log1p-expm1-u`
2×	`fma-udef` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 68

Calls

3 calls:

3.0ms	(- 1.0 (fma x 0.253 (* (pow x 2) 0.12)))
0.0ms	(fma x 0.253 (* (pow x 2) 0.12))
6.0ms	(* (pow x 2) 0.12)

series117.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- 1.0 (fma x 0.253 (* (pow x 2) 0.12)))
56.0ms	(fma x 0.253 (* (pow x 2) 0.12))
29.0ms	(* (pow x 2) 0.12)

simplify34.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	229	546
1	730	384
2	5001	378

prune177.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes22.0ms

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

sample328.0ms

Algorithm

intervals

Results

205.0ms

10730×

body

valid