Details

Time bar (total: 19.3s)

sample62.0ms

Algorithm
intervals
Results
12.0ms380×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0811
11611
2409
3899
41509
52369
64719
712459
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))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×prod-diff
6×associate-*l*
5×distribute-rgt-in distribute-lft-in add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u sub-neg fma-neg log1p-expm1-u
2×flip3-- associate-*r/ *-commutative flip-- unswap-sqr
1×diff-log
Counts
3 → 73
Calls
3 calls:
14.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
30.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
40.0ms
(* 0.12900613773279798 (* x x))

series293.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
139.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
58.0ms
(* 0.12900613773279798 (* x x))

simplify2.0s

Counts
82 → 82
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0109964
1309944
22099835
done5004810

prune254.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×prod-diff
6×associate-*r*
5×distribute-rgt-in distribute-lft-in add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u sub-neg fma-neg log1p-expm1-u
2×flip3-- associate-*r/ *-commutative flip--
1×diff-log unswap-sqr
Counts
3 → 72
Calls
3 calls:
12.0ms
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
34.0ms
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
18.0ms
(* (* 0.12900613773279798 x) x)

series264.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
145.0ms
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
35.0ms
(* (* 0.12900613773279798 x) x)

simplify1.8s

Counts
81 → 81
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0108959
1281925
21713816
done5001804

prune237.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite38.0ms

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 expm1-log1p-u log1p-expm1-u sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- fma-neg diff-log unpow3 prod-diff pow-exp *-commutative flip-- cbrt-unprod
Counts
2 → 49
Calls
2 calls:
9.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
27.0ms
(* 0.12900613773279798 (pow x 3))

series216.0ms

Counts
2 → 6
Calls
2 calls:
155.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
60.0ms
(* 0.12900613773279798 (pow x 3))

simplify861.0ms

Counts
55 → 55
Iterations

Useful iterations: done (858.0ms)

IterNodesCost
084541
1217488
2909455
done5000451

prune158.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize39.0ms

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)))))

rewrite949.0ms

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×expm1-log1p-u associate-*r* log1p-expm1-u 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 → 136
Calls
4 calls:
18.0ms
(* (* 0.12900613773279798 x) x)
19.0ms
(pow (* (* 0.12900613773279798 x) x) 3)
102.0ms
(* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))
804.0ms
(/ (* 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)))))

series485.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* 0.12900613773279798 x) x)
84.0ms
(pow (* (* 0.12900613773279798 x) x) 3)
53.0ms
(* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))
310.0ms
(/ (* 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)))))

simplify6.8s

Counts
148 → 148
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
01772637
15991989
249561590
done50001590

prune390.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes28.0ms

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
1.2s11976×body80valid