Details

Time bar (total: 9.8m)

sample40.0ms

Algorithm
intervals
Results
14.0ms56×body640valid
9.0ms146×body80valid
7.0ms40×body320valid
2.0ms14×body160valid

simplify31.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
30.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize22.0ms

Local error

Found 2 expressions with local error:

2.8b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite79.0ms

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
50.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
12.0ms
(/ 1 (+ x 1))

series56.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
40.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
15.0ms
(/ 1 (+ x 1))

simplify1.1m

Counts
563 → 333
Calls
563 calls:
Slowest
471.0ms
(fma (- (/ (cbrt 1) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt x)) (* (/ (cbrt 1) (sqrt x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))))
454.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) 1)))
431.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x))))))
424.0ms
(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))))))
416.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))))

prune2.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ -1 (fma x x x))

rewrite5.0ms

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
4.0ms
(/ -1 (fma x x x))

series34.0ms

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

simplify1.4s

Counts
28 → 33
Calls
28 calls:
Slowest
282.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
276.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
263.0ms
(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))
67.0ms
(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (fma x x x)) (cbrt (fma x x x))))
62.0ms
(- 1 (+ x (/ 1 x)))

prune209.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

30.5b
(cbrt (/ (/ -1 (* (fma x x x) (fma x x x))) (fma x x x)))
0.3b
(/ -1 (* (fma x x x) (fma x x x)))
0.1b
(* (fma x x x) (fma x x x))
0.1b
(/ (/ -1 (* (fma x x x) (fma x x x))) (fma x x x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
42×add-sqr-sqrt
40×*-un-lft-identity add-cube-cbrt
25×cbrt-prod
20×add-cbrt-cube add-exp-log
11×pow1
10×div-inv associate-/l*
7×cbrt-undiv div-exp
4×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u add-log-exp
3×swap-sqr associate-*r* associate-*l* prod-exp cbrt-unprod
2×clear-num frac-2neg fma-udef
1×pow2 distribute-rgt-in cbrt-div distribute-lft-in pow-plus pow1/3 pow-prod-down pow-sqr *-commutative pow-prod-up unswap-sqr associate-/l/
Counts
4 → 142
Calls
4 calls:
Slowest
12.0ms
(/ (/ -1 (* (fma x x x) (fma x x x))) (fma x x x))
7.0ms
(/ -1 (* (fma x x x) (fma x x x)))
6.0ms
(* (fma x x x) (fma x x x))
4.0ms
(cbrt (/ (/ -1 (* (fma x x x) (fma x x x))) (fma x x x)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
75.0ms
(cbrt (/ (/ -1 (* (fma x x x) (fma x x x))) (fma x x x)))
53.0ms
(/ -1 (* (fma x x x) (fma x x x)))
45.0ms
(/ (/ -1 (* (fma x x x) (fma x x x))) (fma x x x))
44.0ms
(* (fma x x x) (fma x x x))

simplify21.5s

Counts
130 → 154
Calls
130 calls:
Slowest
504.0ms
(/ (/ 1 (* (fma x x x) (fma x x x))) (sqrt (fma x x x)))
439.0ms
(/ (/ 1 (* (fma x x x) (fma x x x))) (cbrt (fma x x x)))
433.0ms
(cbrt (* (cbrt (/ (/ -1 (* (fma x x x) (fma x x x))) (fma x x x))) (cbrt (/ (/ -1 (* (fma x x x) (fma x x x))) (fma x x x)))))
431.0ms
(/ (/ -1 (* (fma x x x) (fma x x x))) (cbrt (fma x x x)))
412.0ms
(* (* (* (fma x x x) (fma x x x)) (fma x x x)) (* (* (fma x x x) (fma x x x)) (fma x x x)))

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

11.3b
(- (/ (/ (/ 1 x) x) x) (/ 1 (* (* x x) (* x x))))
0.3b
(/ 1 (* (* x x) (* x x)))
0.2b
(* (* x x) (* x x))
0.1b
(/ (/ 1 x) x)

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
3135×times-frac
1560×add-sqr-sqrt
1518×*-un-lft-identity
1506×add-cube-cbrt
931×prod-diff
247×div-inv
230×pow1
133×fma-neg
72×pow-prod-up
69×add-exp-log
46×pow-prod-down
45×pow-flip
44×pow-sqr
39×add-cbrt-cube
36×pow-plus
32×prod-exp
26×pow2
18×difference-of-squares
16×div-exp cbrt-unprod associate-/l*
8×cbrt-undiv
6×rec-exp 1-exp add-log-exp
4×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u
2×clear-num frac-2neg distribute-lft-out-- inv-pow pow-div
1×sub-neg flip3-- diff-log swap-sqr associate-*r* associate-*l* *-commutative frac-sub flip-- unswap-sqr associate-/l/
Counts
4 → 1328
Calls
4 calls:
Slowest
75.0ms
(- (/ (/ (/ 1 x) x) x) (/ 1 (* (* x x) (* x x))))
47.0ms
(/ 1 (* (* x x) (* x x)))
26.0ms
(* (* x x) (* x x))
17.0ms
(/ (/ 1 x) x)

series221.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
114.0ms
(- (/ (/ (/ 1 x) x) x) (/ 1 (* (* x x) (* x x))))
45.0ms
(/ 1 (* (* x x) (* x x)))
43.0ms
(* (* x x) (* x x))
19.0ms
(/ (/ 1 x) x)

simplify8.1m

Counts
2281 → 1340
Calls
2281 calls:
Slowest
986.0ms
(fma (/ (sqrt (/ (/ 1 x) x)) 1) (/ (sqrt (/ (/ 1 x) x)) x) (- (* (/ (sqrt 1) (* x x)) (/ (sqrt 1) (* x x)))))
906.0ms
(fma (/ (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (/ (cbrt 1) (cbrt x)) (cbrt x)) (cbrt x)) (- (* (sqrt (/ 1 (* (* x x) (* x x)))) (sqrt (/ 1 (* (* x x) (* x x)))))))
863.0ms
(fma (/ (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (/ (cbrt 1) x) (cbrt x)) (cbrt x)) (- (* (/ 1 (* x x)) (/ 1 (* x x)))))
836.0ms
(fma (/ (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (/ (cbrt 1) (cbrt x)) x) (cbrt x)) (- (* (cbrt (/ 1 (* (* x x) (* x x)))) (* (cbrt (/ 1 (* (* x x) (* x x)))) (cbrt (/ 1 (* (* x x) (* x x))))))))
830.0ms
(fma (/ (/ (sqrt (/ 1 x)) (* (cbrt x) (cbrt x))) 1) (/ (/ (sqrt (/ 1 x)) (cbrt x)) x) (- (* (/ 1 (* (* x x) (* x x))) 1)))

prune6.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample921.0ms

Algorithm
intervals
Results
403.0ms1915×body640valid
198.0ms4249×body80valid
148.0ms1207×body320valid
86.0ms630×body160valid