Details

Time bar (total: 1.7m)

sample46.0ms

Algorithm
intervals
Results
16.0ms55×body640valid
10.0ms139×body80valid
9.0ms41×body320valid
3.0ms21×body160valid

simplify21.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
21.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize27.0ms

Local error

Found 2 expressions with local error:

3.2b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite93.0ms

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
55.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
16.0ms
(/ 1 (+ x 1))

series48.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
34.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
13.0ms
(/ 1 (+ x 1))

simplify1.2m

Counts
591 → 333
Calls
591 calls:
Slowest
617.0ms
(* (* (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ 1 (+ x 1)) (/ 1 x))) (- (/ 1 (+ x 1)) (/ 1 x)))
613.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
478.0ms
(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)))))
478.0ms
(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)))))
475.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))

prune1.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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))

series50.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
50.0ms
(/ -1 (fma x x x))

simplify2.3s

Counts
43 → 33
Calls
43 calls:
Slowest
419.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
418.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
248.0ms
(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))
101.0ms
(* (* (/ -1 (fma x x x)) (/ -1 (fma x x x))) (/ -1 (fma x x x)))
72.0ms
(/ (sqrt -1) (* (cbrt (fma x x x)) (cbrt (fma x x x))))

prune186.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize34.0ms

Local error

Found 4 expressions with local error:

14.5b
(cbrt (/ -1 (fma x x x)))
14.5b
(cbrt (/ -1 (fma x x x)))
14.5b
(cbrt (/ -1 (fma x x x)))
0.5b
(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))

rewrite34.0ms

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
22.0ms
(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
3.0ms
(cbrt (/ -1 (fma x x x)))
2.0ms
(cbrt (/ -1 (fma x x x)))
2.0ms
(cbrt (/ -1 (fma x x x)))

series443.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
123.0ms
(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
118.0ms
(cbrt (/ -1 (fma x x x)))
106.0ms
(cbrt (/ -1 (fma x x x)))
95.0ms
(cbrt (/ -1 (fma x x x)))

simplify12.3s

Counts
231 → 168
Calls
231 calls:
Slowest
379.0ms
(* (* (* (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)))))
243.0ms
(- (+ (* 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))))
230.0ms
(- (+ (* 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))))
229.0ms
(- (+ (* 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))))
220.0ms
(- (+ (* 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))))

prune1.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 4 expressions with local error:

14.5b
(cbrt (/ -1 (fma x x x)))
14.5b
(cbrt (/ -1 (fma x x x)))
14.5b
(cbrt (/ -1 (fma x x x)))
14.5b
(cbrt (/ -1 (fma x x x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
36×times-frac
32×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
4 → 100
Calls
4 calls:
Slowest
1.0ms
(cbrt (/ -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)))

series378.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
117.0ms
(cbrt (/ -1 (fma x x x)))
91.0ms
(cbrt (/ -1 (fma x x x)))
91.0ms
(cbrt (/ -1 (fma x x x)))
79.0ms
(cbrt (/ -1 (fma x x x)))

simplify7.7s

Counts
164 → 112
Calls
164 calls:
Slowest
275.0ms
(- (+ (* 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
(- (+ (* 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))))
247.0ms
(- (+ (* 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))))
222.0ms
(- (+ (* 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))))
220.0ms
(- (+ (* 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))))

prune1.4s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

regimes46.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
628.0ms1939×body640valid
335.0ms1253×body320valid
322.0ms4214×body80valid
137.0ms596×body160valid