Details

Time bar (total: 13.2s)

sample45.0ms

Algorithm
intervals
Results
15.0ms303×body80nan
15.0ms256×body80valid

simplify119.0ms

Counts
1 → 1
Iterations
IterNodes
done107
8107
7106
6104
593
470
354
236
121
011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (- x 1.0))
0.4b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-cbrt-cube add-exp-log
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×associate-/r* sum-log times-frac associate-*l* insert-posit16
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-+ flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-+ flip-- associate-/l/
1×+-commutative associate-+l+ clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 67
Calls
3 calls:
20.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
14.0ms
(* 6.0 (- x 1.0))
34.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series211.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
58.0ms
(* 6.0 (- x 1.0))
101.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.2s

Counts
76 → 76
Iterations
IterNodes
done5002
21307
1388
0137

prune303.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
0.1b
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube add-exp-log
8×add-log-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 sum-log insert-posit16
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative associate-+l+
Counts
3 → 157
Calls
3 calls:
30.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
92.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
34.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series265.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
103.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
111.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify1.9s

Counts
166 → 166
Iterations
IterNodes
done5004
22524
1722
0268

prune678.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.1b
(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.2b
(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
0.3b
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
124×add-sqr-sqrt
108×times-frac
94×*-un-lft-identity
68×add-cube-cbrt
60×sqrt-prod
36×associate-*r*
24×associate-*l*
20×add-cbrt-cube add-exp-log
13×distribute-lft-out-- difference-of-squares
12×associate-/r*
9×add-log-exp unswap-sqr
8×sqrt-div associate-/r/ associate-/l*
6×pow1 cbrt-undiv div-exp
5×flip3-+ flip-+
4×prod-exp cbrt-unprod insert-posit16 div-inv
3×sum-log
2×clear-num frac-2neg associate-/l/
1×frac-times +-commutative associate-+l+ flip3-- div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
4 → 205
Calls
4 calls:
19.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
33.0ms
(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
164.0ms
(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
46.0ms
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series398.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
115.0ms
(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
84.0ms
(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
155.0ms
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify2.1s

Counts
217 → 217
Iterations
IterNodes
done5001
22976
1855
0288

prune861.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.3b
(cbrt (- x 1.0))
0.3b
(cbrt (- x 1.0))
0.3b
(cbrt (- x 1.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
27.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
3.0ms
(cbrt (- x 1.0))
3.0ms
(cbrt (- x 1.0))
3.0ms
(cbrt (- x 1.0))

series728.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
96.0ms
(cbrt (- x 1.0))
99.0ms
(cbrt (- x 1.0))
363.0ms
(cbrt (- x 1.0))

simplify1.8s

Counts
117 → 117
Iterations
IterNodes
done5001
32594
2929
1393
0169

prune666.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample1.3s

Algorithm
intervals
Results
568.0ms8000×body80valid
543.0ms8149×body80nan