Details

Time bar (total: 20.1s)

sample57.0ms

Algorithm
intervals
Results
23.0ms69×body640valid
11.0ms40×body320valid
10.0ms126×body80valid
3.0ms21×body160valid

simplify43.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize22.0ms

Local error

Found 2 expressions with local error:

3.6b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite80.0ms

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
58.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
20.0ms
(/ 1 (+ x 1))

series41.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
27.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
13.0ms
(/ 1 (+ x 1))

simplify1.6s

Counts
77 → 77

prune460.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ -1 (+ (* x x) x))
0.0b
(+ (* x x) x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×times-frac
12×add-sqr-sqrt add-cube-cbrt
5×associate-/r* distribute-lft1-in distribute-rgt-out
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
15.0ms
(/ -1 (+ (* x x) x))
7.0ms
(+ (* x x) x)

series76.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
56.0ms
(+ (* x x) x)
20.0ms
(/ -1 (+ (* x x) x))

simplify1.9s

Counts
58 → 58

prune332.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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
13.0ms
(/ (/ -1 (+ x 1)) x)
10.0ms
(/ -1 (+ x 1))

series54.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
37.0ms
(/ (/ -1 (+ x 1)) x)
17.0ms
(/ -1 (+ x 1))

simplify1.2s

Counts
131 → 131

prune836.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
2307×times-frac
1491×*-un-lft-identity
995×add-sqr-sqrt add-cube-cbrt
992×sqrt-prod
248×distribute-lft-out
225×associate-/l*
84×sqrt-div associate-/r/
43×div-inv
42×flip3-+ flip-+
19×add-cbrt-cube add-exp-log
17×associate-/r*
10×cbrt-undiv div-exp
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp
2×associate-/l/
Counts
3 → 1088
Calls
3 calls:
Slowest
37.0ms
(/ (/ (/ -1 (sqrt (+ x 1))) (sqrt (+ x 1))) x)
29.0ms
(/ (/ -1 (sqrt (+ x 1))) (sqrt (+ x 1)))
13.0ms
(/ -1 (sqrt (+ x 1)))

series124.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
50.0ms
(/ -1 (sqrt (+ x 1)))
41.0ms
(/ (/ -1 (sqrt (+ x 1))) (sqrt (+ x 1)))
33.0ms
(/ (/ (/ -1 (sqrt (+ x 1))) (sqrt (+ x 1))) x)

simplify1.9s

Counts
1097 → 1097

prune9.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
987.0ms1969×body640valid
366.0ms4133×body80valid
302.0ms1246×body320valid
97.0ms653×body160valid