Details

Time bar (total: 12.1s)

sample17.0ms

Algorithm
intervals
Results
8.0ms336×body80valid

simplify824.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
119164
242164
379164
4112164
5141164
6193164
7809164
done5000164

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite375.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
10.0ms
(+ 0.253 (* x 0.12))
364.0ms
(* x (+ 0.253 (* x 0.12)))

series147.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ 0.253 (* x 0.12))
101.0ms
(* x (+ 0.253 (* x 0.12)))

simplify955.0ms

Counts
39 → 39
Iterations

Useful iterations: done (950.0ms)

IterNodesCost
0607916
11876660
28376660
done50006500

prune227.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (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)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
27.0ms
(* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))
5.0ms
(cbrt (+ 0.253 (* x 0.12)))
5.0ms
(cbrt (+ 0.253 (* x 0.12)))
5.0ms
(cbrt (+ 0.253 (* x 0.12)))

series683.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))
152.0ms
(cbrt (+ 0.253 (* x 0.12)))
172.0ms
(cbrt (+ 0.253 (* x 0.12)))
166.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify1.6s

Counts
99 → 99
Iterations

Useful iterations: done (1.6s)

IterNodesCost
018244498
145536348
2170936108
done500034828

prune636.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

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)))

rewrite182.0ms

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 *-un-lft-identity add-cube-cbrt
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:
163.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
5.0ms
(cbrt (+ 0.253 (* x 0.12)))
5.0ms
(cbrt (+ 0.253 (* x 0.12)))
5.0ms
(cbrt (+ 0.253 (* x 0.12)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
161.0ms
(cbrt (+ 0.253 (* x 0.12)))
156.0ms
(cbrt (+ 0.253 (* x 0.12)))
166.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify2.6s

Counts
101 → 101
Iterations

Useful iterations: done (2.6s)

IterNodesCost
018659676
152647674
2245147474
done500144074

prune671.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
26.0ms
(+ (* 0.12 (* x x)) (* 0.253 x))
16.0ms
(* 0.12 (* x x))

series158.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(+ (* 0.12 (* x x)) (* 0.253 x))
48.0ms
(* 0.12 (* x x))

simplify1.1s

Counts
36 → 36
Iterations

Useful iterations: 2 (236.0ms)

IterNodesCost
0577756
11846219
29805579
done50005579

prune149.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes194.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08164
111164
done11164

end0.0ms

sample699.0ms

Algorithm
intervals
Results
505.0ms10652×body80valid