Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

345×

body

valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ 0.253 (* x 0.12))
5.0ms	(* x (+ 0.253 (* x 0.12)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ 0.253 (* x 0.12))
69.0ms	(* x (+ 0.253 (* x 0.12)))

simplify110.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	166	173
1	767	154
2	4026	154
3	5002	154

prune69.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (pow (+ 0.253 (* x 0.12)) 1))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-l` `prod-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-prod-down` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 37

Calls

2 calls:

3.0ms	(+ 0.253 (* x 0.12))
7.0ms	(* x (pow (+ 0.253 (* x 0.12)) 1))

series105.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ 0.253 (* x 0.12))
67.0ms	(* x (pow (+ 0.253 (* x 0.12)) 1))

simplify31.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	187	209
1	875	190
2	5002	186

prune83.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))))
6.0b	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

rewrite29.0ms

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:

4.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
7.0ms	(* (* x 0.12) (* x 0.12))
6.0ms	(* 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)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
30.0ms	(* (* x 0.12) (* x 0.12))
100.0ms	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
177.0ms	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

simplify71.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

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

prune214.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (- 0.253 (* x 0.12)))
0.3b	(* (* x 0.12) (* x 0.12))
0.4b	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
6.0b	(* (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (/ 1 (- 0.253 (* x 0.12))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

5.0ms	(/ 1 (- 0.253 (* x 0.12)))
7.0ms	(* (* x 0.12) (* x 0.12))
6.0ms	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
13.0ms	(* (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (/ 1 (- 0.253 (* x 0.12))))

series353.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 1 (- 0.253 (* x 0.12)))
26.0ms	(* (* x 0.12) (* x 0.12))
105.0ms	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
180.0ms	(* (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (/ 1 (- 0.253 (* x 0.12))))

simplify99.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	551	1128
1	3104	928
2	5002	899

prune229.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b 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	15	5
1	15	5

end0.0ms

sample356.0ms

Algorithm

intervals

Results

235.0ms

10671×

body

valid