Details

Time bar (total: 1.6m)

sample44.0ms

Algorithm
intervals
Results
17.0ms66×body640valid
9.0ms130×body80valid
7.0ms41×body320valid
3.0ms19×body160valid

simplify31.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
31.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize17.0ms

Local error

Found 2 expressions with local error:

3.3b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite76.0ms

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
56.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
12.0ms
(/ 1 (+ x 1))

series64.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
39.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
25.0ms
(/ 1 (+ x 1))

simplify1.1m

Counts
591 → 333
Calls
591 calls:
Slowest
798.0ms
(fma (/ (sqrt 1) 1) (/ (sqrt 1) (+ x 1)) (- (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))))))
614.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
568.0ms
(* (* (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ 1 (+ x 1)) (/ 1 x))) (- (/ 1 (+ x 1)) (/ 1 x)))
493.0ms
(- (* (/ 1 (+ x 1)) (/ 1 (+ x 1))) (* (/ 1 x) (/ 1 x)))
469.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) 1)))

prune2.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ -1 (fma x x x))

rewrite9.0ms

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
8.0ms
(/ -1 (fma x x x))

series34.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
34.0ms
(/ -1 (fma x x x))

simplify2.3s

Counts
43 → 33
Calls
43 calls:
Slowest
446.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
421.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
294.0ms
(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))
111.0ms
(* (* (/ -1 (fma x x x)) (/ -1 (fma x x x))) (/ -1 (fma x x x)))
64.0ms
(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (fma x x x)) (cbrt (fma x x x))))

prune240.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

14.2b
(cbrt (/ -1 (fma x x x)))
14.2b
(cbrt (/ -1 (fma x x x)))
14.2b
(cbrt (/ -1 (fma x x x)))
0.5b
(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 156
Calls
4 calls:
Slowest
31.0ms
(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
3.0ms
(cbrt (/ -1 (fma x x x)))
3.0ms
(cbrt (/ -1 (fma x x x)))
3.0ms
(cbrt (/ -1 (fma x x x)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
117.0ms
(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
104.0ms
(cbrt (/ -1 (fma x x x)))
99.0ms
(cbrt (/ -1 (fma x x x)))
84.0ms
(cbrt (/ -1 (fma x x x)))

simplify12.2s

Counts
231 → 168
Calls
231 calls:
Slowest
370.0ms
(* (* (* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x)))) (* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))) (* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x)))))
282.0ms
(- (+ (* 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))))
282.0ms
(- (+ (* 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))))
281.0ms
(- (+ (* 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))))
250.0ms
(- (+ (* 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))))

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

14.6b
(cbrt (fma x x x))
14.6b
(cbrt (fma x x x))
14.2b
(cbrt (/ -1 (fma x x x)))
0.5b
(* (cbrt (fma x x x)) (cbrt (fma x x x)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
29×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
11×pow1
9×times-frac pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 cbrt-div pow-plus prod-exp *-commutative cbrt-unprod div-inv
Counts
4 → 96
Calls
4 calls:
Slowest
17.0ms
(* (cbrt (fma x x x)) (cbrt (fma x x x)))
3.0ms
(cbrt (/ -1 (fma x x x)))
2.0ms
(cbrt (fma x x x))
2.0ms
(cbrt (fma x x x))

series304.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
97.0ms
(cbrt (/ -1 (fma x x x)))
78.0ms
(* (cbrt (fma x x x)) (cbrt (fma x x x)))
72.0ms
(cbrt (fma x x x))
57.0ms
(cbrt (fma x x x))

simplify6.7s

Counts
133 → 108
Calls
133 calls:
Slowest
594.0ms
(* (* (* (cbrt (fma x x x)) (cbrt (fma x x x))) (* (cbrt (fma x x x)) (cbrt (fma x x x)))) (* (cbrt (fma x x x)) (cbrt (fma x x x))))
264.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
253.0ms
(- (+ (* 2/3 (pow x 1/3)) (pow (/ 1 x) -4/3)) (* 1/9 (pow (/ 1 (pow x 2)) 1/3)))
251.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
249.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes42.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s1854×body640valid
281.0ms1310×body320valid
274.0ms4244×body80valid
102.0ms593×body160valid