Details

Time bar (total: 42.9s)

sample162.0ms

Algorithm
intervals
Results
49.0ms374×body80valid

simplify9.9s

Counts
1 → 1
Iterations
IterNodes
done5001
93405
8868
7333
6188
5126
4102
378
237
115
08

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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

rewrite88.0ms

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 insert-posit16
2×distribute-rgt-in distribute-lft-in flip3-- associate-*r/ *-commutative flip-- unswap-sqr
1×diff-log
Counts
3 → 58
Calls
3 calls:
16.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
33.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
25.0ms
(* 0.12900613773279798 (* x x))

series370.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
191.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
76.0ms
(* 0.12900613773279798 (* x x))

simplify8.0s

Counts
67 → 67
Iterations
IterNodes
done5001
33951
2857
1257
088

prune666.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b
(* (* x x) x)
0.3b
(* 0.12900613773279798 (* (* x x) x))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1
17×add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt pow-plus pow-prod-up
5×*-un-lft-identity add-cube-cbrt add-log-exp
4×associate-*r* associate-*l*
3×insert-posit16
2×pow2 pow-sqr *-commutative
1×sub-neg flip3-- diff-log pow3 flip-- unswap-sqr
Counts
3 → 64
Calls
3 calls:
14.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
49.0ms
(* (* x x) x)
104.0ms
(* 0.12900613773279798 (* (* x x) x))

series300.0ms

Counts
3 → 9
Calls
3 calls:
169.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
55.0ms
(* (* x x) x)
76.0ms
(* 0.12900613773279798 (* (* x x) x))

simplify8.4s

Counts
73 → 73
Iterations
IterNodes
done5000
33829
2762
1223
083

prune551.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

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))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×*-un-lft-identity add-cube-cbrt
4×unpow-prod-down add-cbrt-cube cube-prod add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 insert-posit16 sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp *-commutative cbrt-unprod flip--
Counts
2 → 45
Calls
2 calls:
10.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
19.0ms
(* 0.12900613773279798 (pow x 3))

series217.0ms

Counts
2 → 6
Calls
2 calls:
170.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
47.0ms
(* 0.12900613773279798 (pow x 3))

simplify5.8s

Counts
51 → 51
Iterations
IterNodes
done5001
32656
2576
1190
077

prune449.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.12900613773279798 (* x x))
0.2b
(* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)))
0.2b
(* x (- (* 0.954929658551372 0.954929658551372) (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)))))
4.9b
(/ (* x (- (* 0.954929658551372 0.954929658551372) (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))))) (+ 0.954929658551372 (* 0.12900613773279798 (* x x))))

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
125×pow1
70×pow-prod-down
52×add-cbrt-cube add-exp-log
32×prod-exp cbrt-unprod
12×add-sqr-sqrt
9×*-un-lft-identity pow-sqr pow-prod-up add-cube-cbrt
7×associate-*l*
6×associate-*r*
4×associate-*r/ insert-posit16 add-log-exp
3×associate-/r* times-frac pow-plus *-commutative
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-- div-exp associate-/r/ flip-- unswap-sqr associate-/l/
1×pow2 clear-num frac-2neg flip3-+ swap-sqr flip-+ div-inv associate-/l* difference-of-squares
Counts
4 → 133
Calls
4 calls:
24.0ms
(* 0.12900613773279798 (* x x))
165.0ms
(* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)))
37.0ms
(* x (- (* 0.954929658551372 0.954929658551372) (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)))))
71.0ms
(/ (* x (- (* 0.954929658551372 0.954929658551372) (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))))) (+ 0.954929658551372 (* 0.12900613773279798 (* x x))))

series775.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* 0.12900613773279798 (* x x))
67.0ms
(* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)))
253.0ms
(* x (- (* 0.954929658551372 0.954929658551372) (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)))))
405.0ms
(/ (* x (- (* 0.954929658551372 0.954929658551372) (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))))) (+ 0.954929658551372 (* 0.12900613773279798 (* x x))))

simplify4.5s

Counts
145 → 145
Iterations
IterNodes
done5003
22186
1534
0167

prune873.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample941.0ms

Algorithm
intervals
Results
653.0ms12004×body80valid