Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

348×

body

valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	41	4
2	69	4
3	90	4
4	105	4
5	147	4
6	226	4
7	368	4
8	415	4
9	415	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

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)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
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 → 47

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)))

series120.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
30.0ms	(+ 0.253 (* x 0.12))
64.0ms	(* x (+ 0.253 (* x 0.12)))

simplify41.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	226	274
1	991	253
2	5002	253

prune100.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `diff-log`
3×	`sub-neg` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-l` `*-commutative`

Counts

3 → 46

Calls

3 calls:

2.0ms	(- 1.0 (* 0.253 x))
12.0ms	(- (- 1.0 (* 0.253 x)) (* (* x 0.12) x))
7.0ms	(* (* x 0.12) x)

series87.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- 1.0 (* 0.253 x))
29.0ms	(- (- 1.0 (* 0.253 x)) (* (* x 0.12) x))
24.0ms	(* (* x 0.12) x)

simplify122.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	223	264
1	863	237
2	4821	236
3	5001	235

prune84.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 0.12) x)
0.3b	(* (sqrt (* (* x 0.12) x)) (sqrt (* (* x 0.12) x)))
20.9b	(sqrt (* (* x 0.12) x))
20.9b	(sqrt (* (* x 0.12) x))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

6.0ms	(* (* x 0.12) x)
40.0ms	(* (sqrt (* (* x 0.12) x)) (sqrt (* (* x 0.12) x)))
5.0ms	(sqrt (* (* x 0.12) x))
5.0ms	(sqrt (* (* x 0.12) x))

series160.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 0.12) x)
67.0ms	(* (sqrt (* (* x 0.12) x)) (sqrt (* (* x 0.12) x)))
37.0ms	(sqrt (* (* x 0.12) x))
32.0ms	(sqrt (* (* x 0.12) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	177	368
1	939	307
2	5001	296

prune154.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (* (* x 0.12) x))) (sqrt (sqrt (* (* x 0.12) x))))
20.9b	(sqrt (* (* x 0.12) x))
20.9b	(sqrt (* (* x 0.12) x))
20.9b	(sqrt (* (* x 0.12) x))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

157×	`pow1`
149×	`sqrt-pow1`
82×	`pow-prod-down`
29×	`sqrt-prod`
24×	`add-sqr-sqrt`
23×	`pow1/2`
21×	`pow-prod-up`
13×	`pow-sqr`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`swap-sqr`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 124

Calls

4 calls:

47.0ms	(* (sqrt (sqrt (* (* x 0.12) x))) (sqrt (sqrt (* (* x 0.12) x))))
5.0ms	(sqrt (* (* x 0.12) x))
5.0ms	(sqrt (* (* x 0.12) x))
5.0ms	(sqrt (* (* x 0.12) x))

series141.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (sqrt (sqrt (* (* x 0.12) x))) (sqrt (sqrt (* (* x 0.12) x))))
32.0ms	(sqrt (* (* x 0.12) x))
33.0ms	(sqrt (* (* x 0.12) x))
37.0ms	(sqrt (* (* x 0.12) x))

simplify168.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 3 (160.0ms)

Iter	Nodes	Cost
0	135	483
1	545	444
2	3369	420
3	5002	399

prune202.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes57.0ms

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	12	5
1	12	5

end0.0ms

sample305.0ms

Algorithm

intervals

Results

195.0ms

10730×

body

valid