Details

Time bar (total: 18.3s)

sample100.0ms

Algorithm
intervals
Results
23.0ms380×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0811
11511
2389
3819
41339
52149
64419
712009
done50009

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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))

rewrite55.0ms

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)))
26.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
20.0ms
(* 0.12900613773279798 (* x x))

series310.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
166.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
49.0ms
(* 0.12900613773279798 (* x x))

simplify1.2s

Counts
64 → 64
Iterations

Useful iterations: 2 (301.0ms)

IterNodesCost
085673
1254654
21553566
done5002566

prune176.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*r*
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ *-commutative flip--
1×diff-log unswap-sqr
Counts
3 → 54
Calls
3 calls:
5.0ms
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
35.0ms
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
36.0ms
(* (* 0.12900613773279798 x) x)

series266.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
136.0ms
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
39.0ms
(* (* 0.12900613773279798 x) x)

simplify1.4s

Counts
63 → 63
Iterations

Useful iterations: 2 (324.0ms)

IterNodesCost
084668
1229635
21425575
done5002575

prune164.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.3b
(* 0.12900613773279798 (pow x 3))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp *-commutative flip-- cbrt-unprod
Counts
2 → 43
Calls
2 calls:
16.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
34.0ms
(* 0.12900613773279798 (pow x 3))

series214.0ms

Counts
2 → 6
Calls
2 calls:
161.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
52.0ms
(* 0.12900613773279798 (pow x 3))

simplify715.0ms

Counts
49 → 49
Iterations

Useful iterations: done (713.0ms)

IterNodesCost
075483
1197433
2799401
done5000399

prune131.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 0.12900613773279798 x) x)
0.2b
(pow (* (* 0.12900613773279798 x) x) 3)
0.2b
(* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))
8.7b
(/ (* x (- (pow 0.954929658551372 3) (pow (* (* 0.12900613773279798 x) x) 3))) (+ (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x)))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
129×pow1
72×pow-prod-down
56×add-exp-log add-cbrt-cube
34×prod-exp cbrt-unprod
9×pow-sqr pow-prod-up
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*r* add-log-exp
3×pow-unpow pow-pow times-frac pow-plus pow-exp associate-/r* rem-cube-cbrt
2×cbrt-undiv associate-*r/ div-exp associate-*l* associate-/r/ *-commutative associate-/l/
1×pow2 cube-mult pow-to-exp unpow-prod-down flip3-- frac-2neg flip3-+ unpow3 cube-prod swap-sqr clear-num flip-- flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 128
Calls
4 calls:
35.0ms
(* (* 0.12900613773279798 x) x)
33.0ms
(pow (* (* 0.12900613773279798 x) x) 3)
165.0ms
(* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))
759.0ms
(/ (* x (- (pow 0.954929658551372 3) (pow (* (* 0.12900613773279798 x) x) 3))) (+ (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x)))))

series497.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (* 0.12900613773279798 x) x)
81.0ms
(pow (* (* 0.12900613773279798 x) x) 3)
50.0ms
(* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))
322.0ms
(/ (* x (- (pow 0.954929658551372 3) (pow (* (* 0.12900613773279798 x) x) 3))) (+ (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x)))))

simplify7.7s

Counts
140 → 140
Iterations

Useful iterations: 2 (826.0ms)

IterNodesCost
01692509
15831910
248241542
done50011542

prune418.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
done109

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s11976×body80valid