Details

Time bar (total: 19.4s)

sample31.0ms

Algorithm
intervals
Results
19.0ms375×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5001
111127
10442
9263
8200
7171
6154
5144
4137
388
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)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube prod-diff add-exp-log
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×*-un-lft-identity add-cube-cbrt
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 34
Calls
1 calls:
49.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series90.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify2.4s

Counts
37 → 37
Iterations
IterNodes
done5000
33864
2829
1229
078

prune103.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
25×distribute-rgt-in distribute-lft-in
18×prod-diff
13×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×pow1 add-cbrt-cube add-exp-log
6×sub-neg associate-*l* associate-*r/
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp
1×unswap-sqr
Counts
2 → 76
Calls
2 calls:
27.0ms
(* x (- 3.0 (* x 2.0)))
32.0ms
(* x (* x (- 3.0 (* x 2.0))))

series207.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(* x (- 3.0 (* x 2.0)))
108.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify1.0s

Counts
82 → 82
Iterations
IterNodes
done5003
21011
1310
0119

prune267.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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

rewrite358.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
50×pow1
42×associate-*r/
35×flip3-- flip--
34×add-exp-log
32×frac-times
27×pow-prod-down
21×add-cbrt-cube prod-exp cbrt-unprod
16×associate-*l/
9×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*r*
4×expm1-log1p-u pow-plus pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
2×pow2 pow1/3 associate-*l* pow-sqr *-commutative
1×unswap-sqr
Counts
4 → 131
Calls
4 calls:
3.0ms
(cbrt (- 3.0 (* x 2.0)))
6.0ms
(cbrt (- 3.0 (* x 2.0)))
102.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
242.0ms
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

series634.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt (- 3.0 (* x 2.0)))
147.0ms
(cbrt (- 3.0 (* x 2.0)))
221.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
79.0ms
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

simplify2.2s

Counts
143 → 143
Iterations
IterNodes
done5001
22624
1747
0267

prune623.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
1490×cbrt-div
708×frac-times
520×flip3-- flip--
476×associate-*r/
258×associate-*l/
75×pow1
59×add-exp-log
46×pow-prod-down
40×prod-exp cbrt-unprod
31×add-cbrt-cube
14×associate-*r*
13×cbrt-prod
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow-plus pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l* *-commutative
2×pow2 pow-sqr
1×pow1/3 unswap-sqr
Counts
4 → 448
Calls
4 calls:
6.0ms
(cbrt (- 3.0 (* x 2.0)))
238.0ms
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))))
937.0ms
(* (* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))) (cbrt (cbrt (- 3.0 (* x 2.0)))))
67.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))

series748.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(cbrt (- 3.0 (* x 2.0)))
289.0ms
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))))
93.0ms
(* (* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))) (cbrt (cbrt (- 3.0 (* x 2.0)))))
204.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))

simplify2.9s

Counts
460 → 460
Iterations
IterNodes
done5001
12140
0788

prune2.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.1s

Algorithm
intervals
Results
925.0ms12013×body80valid