Details

Time bar (total: 21.9s)

sample20.0ms

Algorithm
intervals
Results
10.0ms390×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5001
91285
8444
7215
6145
5126
4121
382
235
113
07

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg *-un-lft-identity distribute-lft-in associate-*r/ add-cube-cbrt
1×flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
39.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify922.0ms

Counts
28 → 28
Iterations
IterNodes
done5000
21243
1180
057

prune106.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
0.2b
(* x (* x 3.0))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r* add-exp-log
10×add-cbrt-cube
8×pow1 *-un-lft-identity add-cube-cbrt
7×add-log-exp
6×associate-*l* prod-exp
4×unpow-prod-down cube-prod cbrt-unprod unswap-sqr
3×pow-prod-down
2×sum-log *-commutative sqr-pow
1×neg-sub0 cube-mult pow-to-exp +-commutative associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 64
Calls
3 calls:
25.0ms
(* 2.0 (pow x 3))
21.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
13.0ms
(* x (* x 3.0))

series239.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* 2.0 (pow x 3))
143.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
47.0ms
(* x (* x 3.0))

simplify1.3s

Counts
73 → 73
Iterations
IterNodes
done5001
21732
1303
0105

prune343.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- 3.0 (* x 2.0)))
0.1b
(* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- 3.0 (* 2.0 x))))
0.2b
(* (* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- 3.0 (* 2.0 x)))) (* x x))
0.2b
(* (* (* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- 3.0 (* 2.0 x)))) (* x x)) (cbrt (- 3.0 (* x 2.0))))

rewrite362.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
57×pow1
50×associate-*l/
40×flip3-- flip--
36×frac-times add-exp-log
29×pow-prod-down
23×add-sqr-sqrt
22×cbrt-prod prod-exp cbrt-unprod
21×add-cbrt-cube
15×*-un-lft-identity add-cube-cbrt
13×associate-*r*
12×associate-*r/
8×associate-*l*
7×pow1/3
6×swap-sqr pow-prod-up
5×pow-plus unswap-sqr
4×pow-sqr add-log-exp
3×pow2 *-commutative
Counts
4 → 154
Calls
4 calls:
2.0ms
(cbrt (- 3.0 (* x 2.0)))
36.0ms
(* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- 3.0 (* 2.0 x))))
65.0ms
(* (* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- 3.0 (* 2.0 x)))) (* x x))
249.0ms
(* (* (* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- 3.0 (* 2.0 x)))) (* x x)) (cbrt (- 3.0 (* x 2.0))))

series678.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- 3.0 (* x 2.0)))
164.0ms
(* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- 3.0 (* 2.0 x))))
235.0ms
(* (* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- 3.0 (* 2.0 x)))) (* x x))
130.0ms
(* (* (* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- 3.0 (* 2.0 x)))) (* x x)) (cbrt (- 3.0 (* x 2.0))))

simplify599.0ms

Counts
166 → 166
Iterations
IterNodes
done5000
1968
0336

prune777.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- (pow 3.0 3) (pow (* x 2.0) 3))) (* (* (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0)))) (pow x 2)) (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0))))))
0.2b
(* (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0)))) (pow x 2))
0.9b
(cbrt (- (pow 3.0 3) (pow (* x 2.0) 3)))
4.1b
(/ (* (cbrt (- (pow 3.0 3) (pow (* x 2.0) 3))) (* (* (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0)))) (pow x 2)) (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0)))))) (* (* (cbrt (+ (* x 2.0) 3.0)) (cbrt (+ (* x 2.0) 3.0))) (cbrt (+ (* 3.0 3.0) (* (* x 2.0) (+ (* x 2.0) 3.0))))))

rewrite985.0ms

Algorithm
rewrite-expression-head
Rules
1252×cbrt-div
1168×frac-times
724×associate-*l/
490×flip3-- flip--
434×associate-*r/
354×flip3-+ flip-+
242×associate-/l/
112×add-exp-log
69×prod-exp
37×cbrt-unprod
36×add-sqr-sqrt
28×add-cbrt-cube
27×cbrt-prod
26×associate-/r/
20×associate-*l*
18×div-exp
16×difference-of-squares
14×*-un-lft-identity sqr-pow
12×cbrt-undiv
10×add-cube-cbrt
9×pow1 associate-*r*
8×unpow-prod-down
5×pow-to-exp pow-exp
4×cube-prod add-log-exp unswap-sqr
3×pow-prod-down
2×difference-cubes *-commutative distribute-lft-out-- unpow2
1×clear-num associate-/r* frac-2neg times-frac pow1/3 div-inv associate-/l*
Counts
4 → 647
Calls
4 calls:
368.0ms
(* (cbrt (- (pow 3.0 3) (pow (* x 2.0) 3))) (* (* (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0)))) (pow x 2)) (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0))))))
47.0ms
(* (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0)))) (pow x 2))
14.0ms
(cbrt (- (pow 3.0 3) (pow (* x 2.0) 3)))
422.0ms
(/ (* (cbrt (- (pow 3.0 3) (pow (* x 2.0) 3))) (* (* (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0)))) (pow x 2)) (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0)))))) (* (* (cbrt (+ (* x 2.0) 3.0)) (cbrt (+ (* x 2.0) 3.0))) (cbrt (+ (* 3.0 3.0) (* (* x 2.0) (+ (* x 2.0) 3.0))))))

series1.9s

Counts
4 → 12
Calls
4 calls:
372.0ms
(* (cbrt (- (pow 3.0 3) (pow (* x 2.0) 3))) (* (* (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0)))) (pow x 2)) (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0))))))
408.0ms
(* (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0)))) (pow x 2))
714.0ms
(cbrt (- (pow 3.0 3) (pow (* x 2.0) 3)))
392.0ms
(/ (* (cbrt (- (pow 3.0 3) (pow (* x 2.0) 3))) (* (* (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0)))) (pow x 2)) (cbrt (* (+ (* x 2.0) 3.0) (- 3.0 (* x 2.0)))))) (* (* (cbrt (+ (* x 2.0) 3.0)) (cbrt (+ (* x 2.0) 3.0))) (cbrt (+ (* 3.0 3.0) (* (* x 2.0) (+ (* x 2.0) 3.0))))))

simplify1.5s

Counts
659 → 659
Iterations
IterNodes
done5000
14071
01273

prune8.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done20
220
118
010

end0.0ms

sample717.0ms

Algorithm
intervals
Results
489.0ms11937×body80valid