Details

Time bar (total: 1.6m)

sample32.0ms

Algorithm
intervals
Results
12.0ms65×body640valid
6.0ms127×body80valid
6.0ms41×body320valid
2.0ms23×body160valid

simplify25.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize11.0ms

Local error

Found 2 expressions with local error:

3.4b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite69.0ms

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
53.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
8.0ms
(/ 1 (+ x 1))

series38.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
24.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
14.0ms
(/ 1 (+ x 1))

simplify1.1m

Counts
563 → 333
Calls
563 calls:
Slowest
656.0ms
(fma (- (/ (sqrt 1) (cbrt x))) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x)))))
435.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x))))))
416.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) (/ 1 1))))
409.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ (cbrt 1) x) (/ (* (cbrt 1) (cbrt 1)) 1))))
388.0ms
(fma (/ (sqrt 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt 1) (cbrt (+ x 1))) (- (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))))))

prune2.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ -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))

series46.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
46.0ms
(/ -1 (fma x x x))

simplify1.5s

Counts
28 → 33
Calls
28 calls:
Slowest
328.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
291.0ms
(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))
269.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
63.0ms
(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (fma x x x)) (cbrt (fma x x x))))
63.0ms
(- 1 (+ x (/ 1 x)))

prune203.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

16.2b
(cbrt (fma x x x))
16.2b
(cbrt (fma x x x))
16.2b
(cbrt (fma x x x))
0.4b
(* (/ (cbrt -1) (cbrt (fma x x x))) (/ (cbrt -1) (cbrt (fma x x x))))

rewrite24.0ms

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
17.0ms
(* (/ (cbrt -1) (cbrt (fma x x x))) (/ (cbrt -1) (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))

series316.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
123.0ms
(* (/ (cbrt -1) (cbrt (fma x x x))) (/ (cbrt -1) (cbrt (fma x x x))))
73.0ms
(cbrt (fma x x x))
71.0ms
(cbrt (fma x x x))
49.0ms
(cbrt (fma x x x))

simplify19.1s

Counts
248 → 226
Calls
248 calls:
Slowest
592.0ms
(* (/ (cbrt 1) (* (cbrt (cbrt (fma x x x))) (cbrt (cbrt (fma x x x))))) (/ (cbrt 1) (* (cbrt (cbrt (fma x x x))) (cbrt (cbrt (fma x x x))))))
283.0ms
(* (* (* (/ (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)))
268.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
255.0ms
(* (/ -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)))))
252.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))

prune2.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

16.2b
(cbrt (fma x x x))
16.2b
(cbrt (fma x x x))
16.2b
(cbrt (fma x x x))
16.2b
(cbrt (fma x x x))

rewrite7.0ms

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
2.0ms
(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))

series259.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(cbrt (fma x x x))
73.0ms
(cbrt (fma x x x))
56.0ms
(cbrt (fma x x x))
52.0ms
(cbrt (fma x x x))

simplify2.9s

Counts
24 → 68
Calls
24 calls:
Slowest
262.0ms
(- (+ (* 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)))
246.0ms
(- (+ (* 1/3 (pow (pow x 4) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))
232.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
231.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))

prune941.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

0% (0.3b remaining)

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

bsearch1.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
643.0ms1918×body640valid
331.0ms4213×body80valid
294.0ms1232×body320valid
88.0ms638×body160valid