Details

Time bar (total: 8.9s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done7
27
16
04

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (- 1.0 x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
5×associate-/r*
4×distribute-lft-out-- difference-of-squares
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-exp insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 38
Calls
1 calls:
16.0ms
(/ x (- 1.0 x))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ x (- 1.0 x))

simplify1.5s

Counts
41 → 41
Iterations
IterNodes
done5000
31407
2533
1178
083

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* x x))
4.7b
(/ x (- (* 1.0 (* 1.0 1.0)) (* x (* x x))))
15.3b
(* (/ x (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
25×times-frac
22×*-un-lft-identity add-cube-cbrt
21×associate-*l*
19×pow1
15×add-cbrt-cube cube-unmult add-exp-log
7×difference-cubes
5×prod-exp pow-prod-up cbrt-unprod
4×associate-/r* associate-*r* pow-prod-down associate-/r/
3×insert-posit16 associate-/l* add-log-exp unswap-sqr
2×frac-times cbrt-undiv flip3-+ flip3-- div-exp associate-*r/ *-commutative flip-+ div-inv flip--
1×pow2 distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-plus associate-*l/ pow-sqr
Counts
3 → 103
Calls
3 calls:
14.0ms
(* x (* x x))
31.0ms
(/ x (- (* 1.0 (* 1.0 1.0)) (* x (* x x))))
123.0ms
(* (/ x (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series265.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* x (* x x))
126.0ms
(/ x (- (* 1.0 (* 1.0 1.0)) (* x (* x x))))
90.0ms
(* (/ x (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify2.5s

Counts
112 → 112
Iterations
IterNodes
done5002
23518
1692
0196

prune493.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ x (- (* 1.0 (* 1.0 1.0)) (* x (* x x))))
13.9b
(* (/ x (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
14.2b
(sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
14.2b
(sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity add-cube-cbrt
18×associate-*l*
14×cube-unmult
11×add-cbrt-cube add-exp-log sqrt-prod
8×pow1 sqrt-div
7×difference-cubes
6×associate-*r*
4×associate-/r* flip3-+ associate-/r/ flip-+ insert-posit16 add-log-exp unswap-sqr
3×associate-/l*
2×frac-times cbrt-undiv rem-sqrt-square sqrt-pow1 flip3-- pow1/2 div-exp prod-exp associate-*r/ cbrt-unprod div-inv flip--
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
Counts
4 → 113
Calls
4 calls:
42.0ms
(/ x (- (* 1.0 (* 1.0 1.0)) (* x (* x x))))
147.0ms
(* (/ x (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
34.0ms
(sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
34.0ms
(sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series415.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(/ x (- (* 1.0 (* 1.0 1.0)) (* x (* x x))))
137.0ms
(* (/ x (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
74.0ms
(sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
79.0ms
(sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify2.0s

Counts
125 → 125
Iterations
IterNodes
done5006
22105
1551
0209

prune635.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
04

end0.0ms

sample337.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid