Details

Time bar (total: 11.1s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify1.3s

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
0.0b
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
12.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*l/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 77
Calls
4 calls:
14.0ms
(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
25.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
27.0ms
(* (+ 0.99229 (* x 0.04481)) x)
52.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
115.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
78.0ms
(* (+ 0.99229 (* x 0.04481)) x)
77.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify799.0ms

Counts
89 → 89

prune296.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (cbrt (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (cbrt (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
12.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite373.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
50×*-un-lft-identity
36×add-cube-cbrt
32×cbrt-prod
31×times-frac
12×add-exp-log cbrt-div
11×pow1 swap-sqr
10×add-cbrt-cube
9×associate-*r* associate-*l* associate-/r* associate-/l*
8×difference-of-squares
6×flip3-- flip3-+ pow1/3 associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out--
4×frac-times add-log-exp unswap-sqr
3×cbrt-undiv frac-2neg div-exp clear-num div-inv
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
262.0ms
(* (cbrt (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (cbrt (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
48.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
27.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
30.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series577.0ms

Counts
4 → 12
Calls
4 calls:
305.0ms
(* (cbrt (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (cbrt (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
92.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
93.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
86.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify877.0ms

Counts
164 → 164

prune788.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

2.2b
(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
10.5b
(* (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
12.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
53×add-sqr-sqrt
48×add-cube-cbrt *-un-lft-identity
26×cbrt-div
24×associate-*r*
22×add-exp-log cbrt-prod
19×flip3-+ flip-+
16×frac-times
15×add-cbrt-cube
12×associate-*l/ associate-/l*
9×pow1 associate-/r*
8×associate-/r/
6×prod-exp cbrt-unprod associate-/l/
5×cbrt-undiv associate-*r/ div-exp
4×div-inv add-log-exp
3×frac-2neg pow-prod-down clear-num unswap-sqr
1×associate-*l* *-commutative
Counts
4 → 168
Calls
4 calls:
33.0ms
(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
96.0ms
(* (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
26.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
58.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series453.0ms

Counts
4 → 12
Calls
4 calls:
262.0ms
(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
67.0ms
(* (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
65.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
60.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.4s

Counts
180 → 180

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.1s

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid