Details

sample24.0ms

Algorithm

intervals

Results

17.0ms

327×

body

valid

simplify25.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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)))

series121.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
32.0ms	(+ 0.253 (* x 0.12))
65.0ms	(* x (+ 0.253 (* x 0.12)))

simplify34.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (7.0ms)

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

prune104.0ms

Pruning

7 alts after pruning (7 fresh and 0 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))
6.0ms	(* (* x 0.12) x)

series87.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- 1.0 (* 0.253 x))
25.0ms	(- (- 1.0 (* 0.253 x)) (* (* x 0.12) x))
24.0ms	(* (* x 0.12) x)

simplify123.0ms

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

prune86.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.253 (* x 0.12))
0.1b	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
0.2b	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
0.4b	(* (* x 0.12) (* x 0.12))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
27×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-r`
18×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
7×	`difference-of-squares`
6×	`add-log-exp`
4×	`flip3--` `associate-l` `associate-/r/` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`cbrt-undiv` `pow-plus` `div-exp` `*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/` `swap-sqr` `clear-num`

Counts

4 → 119

Calls

4 calls:

2.0ms	(- 0.253 (* x 0.12))
17.0ms	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
10.0ms	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
10.0ms	(* (* x 0.12) (* x 0.12))

series342.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- 0.253 (* x 0.12))
170.0ms	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
114.0ms	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
25.0ms	(* (* x 0.12) (* x 0.12))

simplify82.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	432	1058
1	2467	888
2	5001	828

prune229.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12))))
0.1b	(* x (* 0.12 (* x 0.12)))
0.2b	(/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12)))
0.3b	(* 0.12 (* x 0.12))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`pow1`
19×	`times-frac`
17×	`associate-r`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
9×	`associate-l`
4×	`associate-/r/` `add-log-exp`
3×	`flip3--` `associate-/r` `-commutative` `flip--` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-*r/` `clear-num`

Counts

4 → 105

Calls

4 calls:

16.0ms	(* x (/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12))))
18.0ms	(* x (* 0.12 (* x 0.12)))
10.0ms	(/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12)))
6.0ms	(* 0.12 (* x 0.12))

series321.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* x (/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12))))
28.0ms	(* x (* 0.12 (* x 0.12)))
114.0ms	(/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12)))
14.0ms	(* 0.12 (* x 0.12))

simplify71.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	421	1047
1	2255	888
2	5001	888

prune222.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes17.0ms

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

sample676.0ms

Algorithm

intervals

Results

556.0ms

10585×

body

valid