Details

Time bar (total: 24.0s)

sample37.0ms

Algorithm
intervals
Results
19.0ms388×body80valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1139
2359
3889
41409
51479
61649
72119
83559
98299
1026199
done50009

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log prod-diff add-cbrt-cube
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
48.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series110.0ms

Counts
1 → 3
Calls
1 calls:
110.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify2.9s

Counts
36 → 36
Iterations

Useful iterations: done (2.9s)

IterNodesCost
077533
1207518
2681442
32676421
done5002397

prune97.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite499.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×prod-exp
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod unswap-sqr
3×expm1-log1p-u pow-prod-down log1p-expm1-u
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 71
Calls
3 calls:
14.0ms
(* 2.0 (pow x 3))
463.0ms
(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
20.0ms
(* (* x 3.0) x)

series212.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* 2.0 (pow x 3))
130.0ms
(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
32.0ms
(* (* x 3.0) x)

simplify2.0s

Counts
80 → 80
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0113760
1289673
21064609
done5000573

prune230.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
25.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
358.0ms
(* (cbrt x) (cbrt x))
326.0ms
(cbrt x)
338.0ms
(cbrt x)
318.0ms
(cbrt x)

simplify5.3s

Counts
93 → 93
Iterations

Useful iterations: done (5.3s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune440.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x)))
21.6b
(cbrt (* (* x 3.0) x))
21.6b
(cbrt (* (* x 3.0) x))
21.6b
(cbrt (* (* x 3.0) x))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
50.0ms
(* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x)))
19.0ms
(cbrt (* (* x 3.0) x))
17.0ms
(cbrt (* (* x 3.0) x))
27.0ms
(cbrt (* (* x 3.0) x))

series1.5s

Counts
4 → 12
Calls
4 calls:
370.0ms
(* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x)))
363.0ms
(cbrt (* (* x 3.0) x))
412.0ms
(cbrt (* (* x 3.0) x))
389.0ms
(cbrt (* (* x 3.0) x))

simplify2.1s

Counts
78 → 78
Iterations

Useful iterations: done (2.1s)

IterNodesCost
055846
1109759
2278673
3590594
41674586
done5000553

prune268.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes91.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11812
22012
done2012

end0.0ms

sample800.0ms

Algorithm
intervals
Results
545.0ms12001×body80valid