Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

365×

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)))

rewrite13.0ms

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)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
34.0ms	(+ 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

prune93.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

15.0ms	(- (- 1.0 (* 0.253 x)) (* x (* x 0.12)))
6.0ms	(* x (* x 0.12))

series49.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify78.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	168	210
1	607	186
2	2937	184
3	5001	183

prune62.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (+ (* 0.12 (pow x 2)) (* 0.253 x)))
0.0b	(+ (* 0.12 (pow x 2)) (* 0.253 x))
0.2b	(* 0.12 (pow x 2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`add-log-exp`
8×	`add-exp-log` `-un-lft-identity` `associate-r*`
6×	`add-cube-cbrt`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp`
2×	`diff-log` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 54

Calls

3 calls:

8.0ms	(- 1.0 (+ (* 0.12 (pow x 2)) (* 0.253 x)))
3.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
6.0ms	(* 0.12 (pow x 2))

series118.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- 1.0 (+ (* 0.12 (pow x 2)) (* 0.253 x)))
67.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
25.0ms	(* 0.12 (pow x 2))

simplify198.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (190.0ms)

Iter	Nodes	Cost
0	247	340
1	922	317
2	4573	311
3	5002	309

prune108.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
0.3b	(* (* x 0.12) (* x 0.12))
0.4b	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
5.6b	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

3.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
10.0ms	(* (* x 0.12) (* x 0.12))
10.0ms	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
9.0ms	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
24.0ms	(* (* x 0.12) (* x 0.12))
95.0ms	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
166.0ms	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

simplify68.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	374	763
1	2062	631
2	5001	631

prune168.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes13.0ms

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

sample311.0ms

Algorithm

intervals

Results

203.0ms

10745×

body

valid