Details

Time bar (total: 24.2s)

sample26.0ms

Algorithm
intervals
Results
17.0ms375×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done5001
111138
10457
9235
8169
7141
6124
5116
4109
380
234
113
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

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 insert-posit16 flip-- add-log-exp unswap-sqr
Counts
1 → 26
Calls
1 calls:
45.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series90.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify2.1s

Counts
29 → 29
Iterations
IterNodes
done5005
32999
2625
1171
058

prune84.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.2b
(* x (* x (- 3.0 (* x 2.0))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt
6×sub-neg associate-*l* associate-*r/
5×*-un-lft-identity add-cube-cbrt
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative insert-posit16 flip-- add-log-exp
1×unswap-sqr
Counts
2 → 54
Calls
2 calls:
16.0ms
(* x (- 3.0 (* x 2.0)))
31.0ms
(* x (* x (- 3.0 (* x 2.0))))

series208.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(* x (- 3.0 (* x 2.0)))
106.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify2.8s

Counts
60 → 60
Iterations
IterNodes
done5001
34895
2854
1231
081

prune151.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- 3.0 (* x 2.0)))
0.1b
(cbrt (- 3.0 (* x 2.0)))
0.2b
(* x (* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0)))))
0.4b
(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

rewrite647.0ms

Algorithm
rewrite-expression-head
Rules
112×cbrt-div
90×associate-*r/
56×frac-times flip3-- flip--
28×associate-*l/
27×pow1 add-exp-log
17×add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*r*
4×associate-*l* insert-posit16 add-log-exp
2×pow1/3 *-commutative
Counts
4 → 130
Calls
4 calls:
4.0ms
(cbrt (- 3.0 (* x 2.0)))
5.0ms
(cbrt (- 3.0 (* x 2.0)))
462.0ms
(* x (* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0)))))
166.0ms
(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

series564.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt (- 3.0 (* x 2.0)))
169.0ms
(cbrt (- 3.0 (* x 2.0)))
100.0ms
(* x (* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0)))))
103.0ms
(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

simplify2.5s

Counts
142 → 142
Iterations
IterNodes
done5002
22110
1659
0240

prune497.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (/ (* (* (cbrt (- 3.0 (* x 2.0))) x) (* (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))) (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))))) (* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0))))))
0.3b
(/ (* (* (cbrt (- 3.0 (* x 2.0))) x) (* (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))) (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))))) (* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0)))))
0.3b
(* (cbrt (- 3.0 (* x 2.0))) x)
0.4b
(* (* (cbrt (- 3.0 (* x 2.0))) x) (* (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))) (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))))))

rewrite697.0ms

Algorithm
rewrite-expression-head
Rules
1214×cbrt-div
1144×frac-times
598×associate-*l/
487×flip3-- flip--
429×associate-*r/
336×flip3-+ flip-+
242×associate-/l/
112×add-exp-log
62×prod-exp cbrt-unprod
61×add-cbrt-cube
20×pow1 cbrt-undiv div-exp
17×associate-*r*
16×associate-/r/
15×add-sqr-sqrt
10×associate-*l* pow-prod-down
9×*-un-lft-identity add-cube-cbrt
4×cbrt-prod insert-posit16 add-log-exp
3×*-commutative unswap-sqr
2×times-frac div-inv
1×clear-num associate-/r* frac-2neg associate-/l*
Counts
4 → 624
Calls
4 calls:
176.0ms
(* x (/ (* (* (cbrt (- 3.0 (* x 2.0))) x) (* (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))) (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))))) (* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0))))))
171.0ms
(/ (* (* (cbrt (- 3.0 (* x 2.0))) x) (* (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))) (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))))) (* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0)))))
21.0ms
(* (cbrt (- 3.0 (* x 2.0))) x)
212.0ms
(* (* (cbrt (- 3.0 (* x 2.0))) x) (* (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))) (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))))))

series846.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* x (/ (* (* (cbrt (- 3.0 (* x 2.0))) x) (* (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))) (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))))) (* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0))))))
94.0ms
(/ (* (* (cbrt (- 3.0 (* x 2.0))) x) (* (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))) (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))))) (* (cbrt (+ 3.0 (* x 2.0))) (cbrt (+ 3.0 (* x 2.0)))))
302.0ms
(* (cbrt (- 3.0 (* x 2.0))) x)
328.0ms
(* (* (cbrt (- 3.0 (* x 2.0))) x) (* (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0)))) (cbrt (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))))))

simplify4.1s

Counts
636 → 636
Iterations
IterNodes
done5003
13567
01050

prune5.5s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample741.0ms

Algorithm
intervals
Results
598.0ms12013×body80valid