Details

Time bar (total: 1.6m)

sample43.0ms

Algorithm
intervals
Results
16.0ms61×body640valid
9.0ms135×body80valid
7.0ms39×body320valid
3.0ms21×body160valid

simplify16.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
16.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize13.0ms

Local error

Found 2 expressions with local error:

2.6b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite90.0ms

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
72.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
8.0ms
(/ 1 (+ x 1))

series61.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
14.0ms
(/ 1 (+ x 1))

simplify1.1m

Counts
563 → 333
Calls
563 calls:
Slowest
579.0ms
(fma (- (/ (sqrt 1) (cbrt x))) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x)))))
414.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ (sqrt 1) x) (/ (sqrt 1) 1))))
409.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))))
406.0ms
(fma (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (cbrt 1) (cbrt (+ x 1))) (- (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))))))
403.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ (cbrt 1) x) (/ (* (cbrt 1) (cbrt 1)) 1))))

prune2.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ -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))

series42.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
42.0ms
(/ -1 (fma x x x))

simplify1.5s

Counts
28 → 33
Calls
28 calls:
Slowest
317.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
270.0ms
(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))
247.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
90.0ms
(- 1 (+ x (/ 1 x)))
66.0ms
(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (fma x x x)) (cbrt (fma x x x))))

prune208.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

16.7b
(cbrt (fma x x x))
16.7b
(cbrt (fma x x x))
16.7b
(cbrt (fma x x x))
0.5b
(* (/ (cbrt -1) (cbrt (fma x x x))) (/ (cbrt -1) (cbrt (fma x x x))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
197×add-sqr-sqrt
193×cbrt-prod
184×times-frac
107×*-un-lft-identity add-cube-cbrt
40×swap-sqr associate-*r* associate-*l*
25×unswap-sqr
16×add-exp-log
11×pow1
8×add-cbrt-cube
4×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×pow1/3
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 214
Calls
4 calls:
Slowest
24.0ms
(* (/ (cbrt -1) (cbrt (fma x x x))) (/ (cbrt -1) (cbrt (fma x x x))))
2.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))

series294.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
138.0ms
(* (/ (cbrt -1) (cbrt (fma x x x))) (/ (cbrt -1) (cbrt (fma x x x))))
62.0ms
(cbrt (fma x x x))
48.0ms
(cbrt (fma x x x))
45.0ms
(cbrt (fma x x x))

simplify17.8s

Counts
248 → 226
Calls
248 calls:
Slowest
290.0ms
(- (+ (* 5/9 (* (pow (/ 1 (pow x 10)) 1/3) (pow (cbrt -1) 2))) (* (pow (/ 1 (pow x 4)) 1/3) (pow (cbrt -1) 2))) (* 2/3 (* (pow (/ 1 (pow x 7)) 1/3) (pow (cbrt -1) 2))))
287.0ms
(* (* (* (/ (cbrt -1) (cbrt (fma x x x))) (/ (cbrt -1) (cbrt (fma x x x)))) (/ (cbrt -1) (cbrt (fma x x x)))) (/ -1 (fma x x x)))
264.0ms
(* (/ -1 (fma x x x)) (* (* (/ (cbrt -1) (cbrt (fma x x x))) (/ (cbrt -1) (cbrt (fma x x x)))) (/ (cbrt -1) (cbrt (fma x x x)))))
245.0ms
(* (* (* (/ (cbrt -1) (cbrt (fma x x x))) (/ (cbrt -1) (cbrt (fma x x x)))) (/ (cbrt -1) (cbrt (fma x x x)))) (* (* (/ (cbrt -1) (cbrt (fma x x x))) (/ (cbrt -1) (cbrt (fma x x x)))) (/ (cbrt -1) (cbrt (fma x x x)))))
241.0ms
(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))

prune2.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

16.7b
(cbrt (fma x x x))
16.7b
(cbrt (fma x x x))
16.7b
(cbrt (fma x x x))
16.7b
(cbrt (fma x x x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
Slowest
1.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))

series210.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
74.0ms
(cbrt (fma x x x))
51.0ms
(cbrt (fma x x x))
43.0ms
(cbrt (fma x x x))
42.0ms
(cbrt (fma x x x))

simplify2.7s

Counts
24 → 68
Calls
24 calls:
Slowest
273.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
245.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
240.0ms
(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))
224.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
209.0ms
(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes87.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
609.0ms1941×body640valid
382.0ms4205×body80valid
305.0ms1214×body320valid
122.0ms641×body160valid