Details

Time bar (total: 1.4m)

sample59.0ms

Algorithm
intervals
Results
22.0ms61×body640valid
13.0ms135×body80valid
11.0ms41×body320valid
4.0ms19×body160valid

simplify32.0ms

Calls
1 calls:
Slowest
32.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize10.0ms

Local error

Found 2 expressions with local error:

3.6b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite107.0ms

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
Calls
2 calls:
Slowest
76.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
16.0ms
(/ 1 (+ x 1))

series68.0ms

Calls
2 calls:
Slowest
45.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
23.0ms
(/ 1 (+ x 1))

simplify1.1m

Calls
563 calls:
Slowest
658.0ms
(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)))))
451.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))))))
422.0ms
(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))))))
395.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x))))))
386.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ (sqrt 1) x) (/ (sqrt 1) 1))))

prune2.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ -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
Calls
1 calls:
Slowest
4.0ms
(/ -1 (fma x x x))

series43.0ms

Calls
1 calls:
Slowest
43.0ms
(/ -1 (fma x x x))

simplify1.2s

Calls
28 calls:
Slowest
253.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
207.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
193.0ms
(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))
88.0ms
(- 1 (+ x (/ 1 x)))
64.0ms
(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (fma x x x)) (cbrt (fma x x x))))

prune293.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

15.3b
(cbrt (/ -1 (fma x x x)))
15.3b
(cbrt (/ -1 (fma x x x)))
15.3b
(cbrt (/ -1 (fma x x x)))
0.5b
(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))

rewrite41.0ms

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
Calls
4 calls:
Slowest
28.0ms
(* (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)))
2.0ms
(cbrt (/ -1 (fma x x x)))

series464.0ms

Calls
4 calls:
Slowest
141.0ms
(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
113.0ms
(cbrt (/ -1 (fma x x x)))
113.0ms
(cbrt (/ -1 (fma x x x)))
96.0ms
(cbrt (/ -1 (fma x x x)))

simplify8.0s

Calls
152 calls:
Slowest
263.0ms
(- (+ (* 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))))
253.0ms
(- (+ (* 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))))
247.0ms
(- (+ (* 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))))
238.0ms
(- (+ (* 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))))
214.0ms
(- (+ (* 5/9 (* (pow (pow x 4) 1/3) (pow (cbrt -1) 2))) (* (pow (/ 1 (pow x 2)) 1/3) (pow (cbrt -1) 2))) (* 2/3 (* (pow x 1/3) (pow (cbrt -1) 2))))

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

15.3b
(cbrt (/ -1 (fma x x x)))
15.3b
(cbrt (/ -1 (fma x x x)))
15.3b
(cbrt (fma x x x))
15.3b
(cbrt (fma x x x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-div div-inv
Calls
4 calls:
Slowest
3.0ms
(cbrt (/ -1 (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))

series324.0ms

Calls
4 calls:
Slowest
104.0ms
(cbrt (/ -1 (fma x x x)))
100.0ms
(cbrt (/ -1 (fma x x x)))
68.0ms
(cbrt (fma x x x))
52.0ms
(cbrt (fma x x x))

simplify3.5s

Calls
46 calls:
Slowest
277.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
250.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
234.0ms
(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))
223.0ms
(- (+ (* 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))))
215.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.0s1995×body640valid
349.0ms4188×body80valid
339.0ms1216×body320valid
110.0ms601×body160valid