Details

Time bar (total: 4.3s)

sample18.0ms

Algorithm
intervals
Results
9.0ms350×body80valid

simplify15.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
16.0ms
(* x (+ 0.253 (* x 0.12)))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(* x (+ 0.253 (* x 0.12)))

simplify101.0ms

Counts
25 → 25

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
30×flip3-+ flip-+
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 89
Calls
4 calls:
144.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))

series463.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
132.0ms
(cbrt (+ 0.253 (* x 0.12)))
128.0ms
(cbrt (+ 0.253 (* x 0.12)))
131.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify57.0ms

Counts
101 → 101

prune284.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
4.0ms
(cbrt (+ 0.253 (* x 0.12)))

series519.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(cbrt (+ 0.253 (* x 0.12)))
125.0ms
(cbrt (+ 0.253 (* x 0.12)))
126.0ms
(cbrt (+ 0.253 (* x 0.12)))
135.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify70.0ms

Counts
64 → 64

prune305.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
1.1b
(cbrt (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))))
9.4b
(cbrt (+ (pow 0.253 3) (pow (* x 0.12) 3)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
1×sum-cubes distribute-lft-out
Counts
4 → 54
Calls
4 calls:
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
59.0ms
(cbrt (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))))
13.0ms
(cbrt (+ (pow 0.253 3) (pow (* x 0.12) 3)))

series913.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (+ 0.253 (* x 0.12)))
133.0ms
(cbrt (+ 0.253 (* x 0.12)))
160.0ms
(cbrt (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))))
481.0ms
(cbrt (+ (pow 0.253 3) (pow (* x 0.12) 3)))

simplify61.0ms

Counts
66 → 66

prune423.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample541.0ms

Algorithm
intervals
Results
354.0ms10702×body80valid