Details

Time bar (total: 23.7s)

sample97.0ms

Algorithm
intervals
Results
26.0ms379×body80valid

simplify5.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0811
11511
2389
3819
41029
51459
62819
77399
824369
done50009

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b
(* 0.12900613773279798 (* x x))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*l*
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×sub-neg
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ *-commutative flip-- unswap-sqr
1×diff-log
Counts
3 → 55
Calls
3 calls:
6.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
19.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
21.0ms
(* 0.12900613773279798 (* x x))

series293.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
159.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
39.0ms
(* 0.12900613773279798 (* x x))

simplify2.1s

Counts
64 → 64
Iterations

Useful iterations: 2 (216.0ms)

IterNodesCost
085673
1197636
2577564
32178564
done5000564

prune178.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
0.1b
(* 0.12900613773279798 (pow x 3))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity add-log-exp
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 sum-log sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 46
Calls
2 calls:
10.0ms
(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
14.0ms
(* 0.12900613773279798 (pow x 3))

series187.0ms

Counts
2 → 6
Calls
2 calls:
144.0ms
(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
44.0ms
(* 0.12900613773279798 (pow x 3))

simplify4.6s

Counts
52 → 52
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
083507
1212444
2765404
34239400
done5000400

prune143.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))
0.2b
(* (* 0.12900613773279798 x) (* x x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
6×add-log-exp
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity sum-log
1×+-commutative neg-sub0 associate-+r- flip3-+ associate-*r* associate-*l* unsub-neg neg-log *-commutative flip-+
Counts
2 → 37
Calls
2 calls:
11.0ms
(+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))
31.0ms
(* (* 0.12900613773279798 x) (* x x))

series166.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))
44.0ms
(* (* 0.12900613773279798 x) (* x x))

simplify6.0s

Counts
43 → 43
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
071547
1199417
2859339
34498335
done5000335

prune100.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))))
0.1b
(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
0.2b
(* 0.12900613773279798 (* x x))
29.5b
(cbrt (pow x 3))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
18×pow1 add-exp-log
16×associate-*r*
15×add-cbrt-cube
13×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
9×pow-prod-down prod-exp cbrt-unprod
8×add-log-exp
6×unpow-prod-down cube-prod
4×associate-*l*
2×cube-mult unpow3 sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 associate-+r- flip3-+ pow1/3 unsub-neg neg-log rem-cbrt-cube flip-+ unswap-sqr
Counts
4 → 88
Calls
4 calls:
19.0ms
(+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))))
93.0ms
(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
24.0ms
(* 0.12900613773279798 (* x x))
3.0ms
(cbrt (pow x 3))

series262.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))))
63.0ms
(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
35.0ms
(* 0.12900613773279798 (* x x))
18.0ms
(cbrt (pow x 3))

simplify1.7s

Counts
100 → 100
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01311117
1319746
21339648
done5000646

prune657.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes33.0ms

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
0910
11610
21810
done1810

end0.0ms

sample1.0s

Algorithm
intervals
Results
741.0ms12060×body80valid