Details

Time bar (total: 1.4m)

sample59.0ms

Algorithm
intervals
Results
23.0ms65×body640valid
12.0ms136×body80valid
10.0ms38×body320valid
3.0ms17×body160valid

simplify30.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize20.0ms

Local error

Found 2 expressions with local error:

1.8b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
370×*-un-lft-identity
366×times-frac
277×add-sqr-sqrt
253×add-cube-cbrt
234×prod-diff
49×distribute-lft-out
37×div-inv
30×associate-/r/
18×fma-neg
15×flip3-+ flip-+
10×distribute-lft-out--
9×difference-of-squares
6×add-exp-log
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-- diff-log 1-exp frac-sub pow-flip flip-- inv-pow
Counts
2 → 327
Calls
2 calls:
Slowest
73.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
21.0ms
(/ 1 (+ x 1))

series45.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
23.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
22.0ms
(/ 1 (+ x 1))

simplify1.1m

Counts
563 → 333
Calls
563 calls:
Slowest
674.0ms
(fma (- (/ (sqrt 1) (cbrt x))) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x)))))
425.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) (/ 1 1))))
413.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))))
396.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) 1)))
394.0ms
(fma (- (/ (cbrt 1) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))))

prune1.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ -1 (fma x x x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
Slowest
4.0ms
(/ -1 (fma x x x))

series27.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
27.0ms
(/ -1 (fma x x x))

simplify1.5s

Counts
28 → 33
Calls
28 calls:
Slowest
295.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
289.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
278.0ms
(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))
69.0ms
(- 1 (+ x (/ 1 x)))
66.0ms
(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (fma x x x)) (cbrt (fma x x x))))

prune246.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

15.8b
(cbrt (/ -1 (fma x x x)))
15.8b
(cbrt (/ -1 (fma x x x)))
15.8b
(cbrt (/ -1 (fma x x x)))
0.5b
(/ -1 (fma x x x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
36×times-frac
33×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u div-inv add-log-exp
3×cbrt-div associate-/r* pow1/3 associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp
Counts
4 → 105
Calls
4 calls:
Slowest
4.0ms
(/ -1 (fma x x x))
1.0ms
(cbrt (/ -1 (fma x x x)))
1.0ms
(cbrt (/ -1 (fma x x x)))
1.0ms
(cbrt (/ -1 (fma x x x)))

series354.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
111.0ms
(cbrt (/ -1 (fma x x x)))
106.0ms
(cbrt (/ -1 (fma x x x)))
96.0ms
(cbrt (/ -1 (fma x x x)))
40.0ms
(/ -1 (fma x x x))

simplify5.1s

Counts
79 → 117
Calls
79 calls:
Slowest
605.0ms
(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))
305.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
283.0ms
(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))
252.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
244.0ms
(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

16.5b
(cbrt (fma x x x))
16.5b
(cbrt (fma x x x))
16.5b
(cbrt (fma x x x))
15.8b
(cbrt (/ -1 (fma x x x)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-div div-inv
Counts
4 → 67
Calls
4 calls:
Slowest
6.0ms
(cbrt (fma x x x))
2.0ms
(cbrt (/ -1 (fma x x x)))
1.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))

series259.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
107.0ms
(cbrt (/ -1 (fma x x x)))
59.0ms
(cbrt (fma x x x))
48.0ms
(cbrt (fma x x x))
44.0ms
(cbrt (fma x x x))

simplify3.2s

Counts
35 → 79
Calls
35 calls:
Slowest
289.0ms
(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))
265.0ms
(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))
252.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
239.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
214.0ms
(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
616.0ms1851×body640valid
360.0ms4259×body80valid
303.0ms1281×body320valid
85.0ms610×body160valid