Details

Time bar (total: 13.2s)

sample30.0ms

Algorithm
intervals
Results
8.0ms45×body640valid
7.0ms54×body320valid
7.0ms142×body80valid
1.0ms15×body160valid

simplify29.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize16.0ms

Local error

Found 2 expressions with local error:

3.4b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
39×add-sqr-sqrt
36×times-frac
15×add-cube-cbrt
10×distribute-lft-out--
9×difference-of-squares
7×distribute-lft-out
6×add-exp-log
5×div-inv
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×div-exp associate-/r/ insert-posit16
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log 1-exp frac-sub flip-+ pow-flip flip-- inv-pow
Counts
2 → 71
Calls
2 calls:
Slowest
51.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
14.0ms
(/ 1 (+ x 1))

series46.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
30.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
15.0ms
(/ 1 (+ x 1))

simplify1.1s

Counts
77 → 77

prune506.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ -1 (+ x (* x x)))
0.0b
(+ x (* x x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×times-frac
12×add-sqr-sqrt add-cube-cbrt
5×associate-/r* distribute-rgt-out distribute-rgt1-in
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 52
Calls
2 calls:
Slowest
11.0ms
(+ x (* x x))
6.0ms
(/ -1 (+ x (* x x)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
43.0ms
(+ x (* x x))
23.0ms
(/ -1 (+ x (* x x)))

simplify3.8s

Counts
58 → 58

prune360.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ -1 (+ x 1)) x)
0.0b
(/ -1 (+ x 1))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
21×associate-/l*
16×distribute-lft-out
10×associate-/r/
9×add-cbrt-cube add-exp-log
7×associate-/r*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×associate-/l/
Counts
2 → 125
Calls
2 calls:
Slowest
25.0ms
(/ (/ -1 (+ x 1)) x)
10.0ms
(/ -1 (+ x 1))

series45.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
24.0ms
(/ -1 (+ x 1))
20.0ms
(/ (/ -1 (+ x 1)) x)

simplify1.5s

Counts
131 → 131

prune867.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1))
0.2b
(cbrt (+ x 1))
0.2b
(cbrt (+ x 1))
0.2b
(* (cbrt (+ x 1)) (cbrt (+ x 1)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
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 → 99
Calls
4 calls:
Slowest
27.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
5.0ms
(cbrt (+ x 1))
5.0ms
(cbrt (+ x 1))
5.0ms
(cbrt (+ x 1))

series212.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
74.0ms
(cbrt (+ x 1))
53.0ms
(cbrt (+ x 1))
42.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
42.0ms
(cbrt (+ x 1))

simplify1.4s

Counts
111 → 111

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
935.0ms1852×body640valid
308.0ms4179×body80valid
288.0ms1324×body320valid
170.0ms647×body160valid