Details

Time bar (total: 1.3m)

sample50.0ms

Algorithm
intervals
Results
15.0ms34×body320valid
15.0ms67×body640valid
8.0ms132×body80valid
3.0ms23×body160valid

simplify28.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
28.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize19.0ms

Local error

Found 2 expressions with local error:

3.7b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite86.0ms

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
70.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
8.0ms
(/ 1 (+ x 1))

series55.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
31.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
24.0ms
(/ 1 (+ x 1))

simplify1.1m

Counts
563 → 333
Calls
563 calls:
Slowest
743.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ (cbrt 1) (sqrt x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt x)))))
527.0ms
(fma (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x 1))) (/ (cbrt 1) (sqrt (+ x 1))) (- (* (/ 1 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))))
417.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) (/ 1 1))))
396.0ms
(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))))))
392.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x))))))

prune1.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ -1 (fma x x x))

rewrite7.0ms

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
7.0ms
(/ -1 (fma x x x))

series33.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
33.0ms
(/ -1 (fma x x x))

simplify1.3s

Counts
28 → 33
Calls
28 calls:
Slowest
274.0ms
(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))
244.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
225.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
59.0ms
(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (fma x x x)) (cbrt (fma x x x))))
57.0ms
(/ 1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))

prune156.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

15.3b
(cbrt (fma x x x))
15.3b
(cbrt (fma x x x))
15.3b
(cbrt (fma x x x))
0.8b
(/ 1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
12×pow1
9×cbrt-prod add-sqr-sqrt *-un-lft-identity pow1/3 add-cube-cbrt pow-flip
7×add-cbrt-cube
4×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u add-log-exp
3×times-frac prod-exp associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 clear-num associate-/r* frac-2neg pow-plus cbrt-unprod div-inv inv-pow
Counts
4 → 80
Calls
4 calls:
Slowest
11.0ms
(/ 1 (* (cbrt (fma x x x)) (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))

series229.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
83.0ms
(/ 1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
52.0ms
(cbrt (fma x x x))
47.0ms
(cbrt (fma x x x))
46.0ms
(cbrt (fma x x x))

simplify4.3s

Counts
45 → 92
Calls
45 calls:
Slowest
653.0ms
(/ (* (* 1 1) 1) (* (* (* (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)))))
309.0ms
(- (+ (* 5/9 (pow (/ 1 (pow x 10)) 1/3)) (pow (/ -1 x) 4/3)) (* 2/3 (pow (/ 1 (pow x 7)) 1/3)))
275.0ms
(- (+ (pow (/ 1 x) 4/3) (* 5/9 (pow (/ 1 (pow x 10)) 1/3))) (* 2/3 (pow (/ 1 (pow x 7)) 1/3)))
260.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
258.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))

prune848.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

15.3b
(cbrt (fma x x x))
15.3b
(cbrt (fma x x x))
15.3b
(cbrt (fma x x x))
15.3b
(cbrt (fma x x x))

rewrite4.0ms

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))

series202.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
61.0ms
(cbrt (fma x x x))
49.0ms
(cbrt (fma x x x))
47.0ms
(cbrt (fma x x x))
46.0ms
(cbrt (fma x x x))

simplify2.9s

Counts
24 → 68
Calls
24 calls:
Slowest
249.0ms
(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))
247.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
247.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
238.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
227.0ms
(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))

prune796.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes24.0ms

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
582.0ms1887×body640valid
346.0ms4173×body80valid
325.0ms1309×body320valid
144.0ms631×body160valid