Details

Time bar (total: 12.3s)

sample27.0ms

Algorithm
intervals
Results
13.0ms345×body80valid

simplify279.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
5.0ms
(+ 0.253 (* x 0.12))
20.0ms
(* x (+ 0.253 (* x 0.12)))

series144.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ 0.253 (* x 0.12))
99.0ms
(* x (+ 0.253 (* x 0.12)))

simplify1.4s

Counts
39 → 39

prune131.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

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
8×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 → 120
Calls
4 calls:
9.0ms
(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
38.0ms
(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
39.0ms
(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
32.0ms
(* (* x 0.12) (* x 0.12))

series590.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
266.0ms
(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
193.0ms
(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
47.0ms
(* (* x 0.12) (* x 0.12))

simplify1.3s

Counts
132 → 132

prune383.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
17.0ms
(+ (* 0.12 (pow x 2)) (* 0.253 x))
25.0ms
(* 0.12 (pow x 2))

series158.0ms

Counts
2 → 6
Calls
2 calls:
103.0ms
(+ (* 0.12 (pow x 2)) (* 0.253 x))
55.0ms
(* 0.12 (pow x 2))

simplify3.6s

Counts
44 → 44

prune138.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 0.064009 (* 0.0144 (pow x 2)))
0.1b
(/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12)))
0.2b
(* 0.0144 (pow x 2))
0.4b
(* x (/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity associate-*r*
19×times-frac
16×add-exp-log
13×add-cbrt-cube
6×pow1 associate-*l* add-log-exp unswap-sqr
5×prod-exp
4×unpow-prod-down flip3-- associate-/r/ flip--
3×associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv div-exp *-commutative div-inv associate-/l/ unpow2 sqr-pow
1×pow-to-exp sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down pow-exp clear-num
Counts
4 → 105
Calls
4 calls:
5.0ms
(- 0.064009 (* 0.0144 (pow x 2)))
25.0ms
(/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12)))
25.0ms
(* 0.0144 (pow x 2))
64.0ms
(* x (/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12))))

series609.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(- 0.064009 (* 0.0144 (pow x 2)))
209.0ms
(/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12)))
39.0ms
(* 0.0144 (pow x 2))
252.0ms
(* x (/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12))))

simplify856.0ms

Counts
117 → 117

prune398.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify887.0ms

end0.0ms

sample837.0ms

Algorithm
intervals
Results
555.0ms10731×body80valid