Details

Time bar (total: 9.3s)

sample144.0ms

Algorithm
intervals
Results
25.0ms390×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5000
71253
6490
5250
4147
382
238
115
08

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt
6×*-un-lft-identity associate-*l* add-cube-cbrt
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×sub-neg
2×distribute-rgt-in distribute-lft-in flip3-- associate-*r/ *-commutative flip-- unswap-sqr
1×diff-log
Counts
3 → 55
Calls
3 calls:
4.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
23.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
30.0ms
(* 0.12900613773279798 (* x x))

series263.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
127.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
48.0ms
(* 0.12900613773279798 (* x x))

simplify890.0ms

Counts
64 → 64
Iterations
IterNodes
done5000
21549
1254
085

prune210.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* x x) x)
0.1b
(* 0.12900613773279798 (* (* x x) x))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1
16×add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
6×pow-plus pow-prod-up
5×add-sqr-sqrt
4×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
2×pow2 pow-sqr *-commutative add-log-exp
1×pow3 unswap-sqr
Counts
2 → 49
Calls
2 calls:
17.0ms
(* (* x x) x)
42.0ms
(* 0.12900613773279798 (* (* x x) x))

series116.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (* x x) x)
68.0ms
(* 0.12900613773279798 (* (* x x) x))

simplify798.0ms

Counts
55 → 55
Iterations
IterNodes
done5000
21069
1164
057

prune122.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* (* 0.12900613773279798 x) x) x)
0.1b
(* (* 0.12900613773279798 x) x)

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
2×associate-*l* *-commutative add-log-exp
Counts
2 → 39
Calls
2 calls:
62.0ms
(* (* (* 0.12900613773279798 x) x) x)
32.0ms
(* (* 0.12900613773279798 x) x)

series115.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* (* (* 0.12900613773279798 x) x) x)
44.0ms
(* (* 0.12900613773279798 x) x)

simplify1.1s

Counts
45 → 45
Iterations
IterNodes
done5000
21430
1166
056

prune102.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))))
0.2b
(* x (* x (sqrt 0.12900613773279798)))
0.2b
(* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))
0.3b
(* x (sqrt 0.12900613773279798))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1 add-cbrt-cube add-exp-log
18×add-sqr-sqrt
15×associate-*l*
12×*-un-lft-identity add-cube-cbrt
11×associate-*r* pow-prod-down prod-exp cbrt-unprod
7×sqrt-prod
4×*-commutative add-log-exp
3×unswap-sqr
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip--
Counts
4 → 88
Calls
4 calls:
20.0ms
(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))))
15.0ms
(* x (* x (sqrt 0.12900613773279798)))
72.0ms
(* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))
7.0ms
(* x (sqrt 0.12900613773279798))

series490.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))))
82.0ms
(* x (* x (sqrt 0.12900613773279798)))
91.0ms
(* (sqrt 0.12900613773279798) (* x (* x (sqrt 0.12900613773279798))))
69.0ms
(* x (sqrt 0.12900613773279798))

simplify910.0ms

Counts
100 → 100
Iterations
IterNodes
done5001
21628
1297
0114

prune361.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample974.0ms

Algorithm
intervals
Results
696.0ms11932×body80valid