Details

Time bar (total: 1.5m)

sample30.0ms

Algorithm
intervals
Results
11.0ms65×body640valid
6.0ms136×body80valid
5.0ms37×body320valid
2.0ms18×body160valid

simplify17.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
16.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize21.0ms

Local error

Found 2 expressions with local error:

2.0b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite82.0ms

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
62.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
8.0ms
(/ 1 (+ x 1))

series40.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
24.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
16.0ms
(/ 1 (+ x 1))

simplify1.1m

Counts
563 → 333
Calls
563 calls:
Slowest
799.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
550.0ms
(fma (/ (sqrt 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt 1) (cbrt (+ x 1))) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x)))))
429.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))))))
426.0ms
(fma (/ 1 1) (/ 1 (+ x 1)) (- (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))))))
410.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) 1)))

prune2.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize7.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ -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
Counts
1 → 30
Calls
1 calls:
Slowest
4.0ms
(/ -1 (fma x x x))

series44.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
44.0ms
(/ -1 (fma x x x))

simplify1.9s

Counts
28 → 33
Calls
28 calls:
Slowest
508.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
465.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
275.0ms
(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))
74.0ms
(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (fma x x x)) (cbrt (fma x x x))))
65.0ms
(- 1 (+ x (/ 1 x)))

prune260.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.9b

localize19.0ms

Local error

Found 4 expressions with local error:

15.8b
(cbrt (fma x x x))
15.8b
(cbrt (fma x x x))
15.8b
(cbrt (fma x x x))
0.5b
(/ -1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
7×add-cbrt-cube
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv div-exp
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv
Counts
4 → 66
Calls
4 calls:
Slowest
14.0ms
(/ -1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
2.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))

series279.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
83.0ms
(cbrt (fma x x x))
72.0ms
(cbrt (fma x x x))
72.0ms
(/ -1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
53.0ms
(cbrt (fma x x x))

simplify4.4s

Counts
34 → 78
Calls
34 calls:
Slowest
619.0ms
(/ (* (* -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)))))
395.0ms
(/ (* (* -1 -1) -1) (* (fma x x x) (fma x x x)))
300.0ms
(- (* 2/3 (pow (/ 1 (pow x 7)) 1/3)) (+ (* 5/9 (pow (/ 1 (pow x 10)) 1/3)) (pow (/ 1 (pow x 4)) 1/3)))
298.0ms
(- (* 2/3 (pow (/ 1 (pow x 7)) 1/3)) (+ (* 5/9 (pow (/ 1 (pow x 10)) 1/3)) (pow (/ 1 (pow x 4)) 1/3)))
265.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))

prune751.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.9b

localize38.0ms

Local error

Found 4 expressions with local error:

15.8b
(cbrt (fma x x x))
15.8b
(cbrt (fma x x x))
15.8b
(cbrt (fma x x x))
0.4b
(* (/ 1 (cbrt (fma x x x))) (/ -1 (cbrt (fma x x x))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
58×times-frac
39×*-un-lft-identity
38×cbrt-prod
33×add-cube-cbrt
26×add-exp-log
22×associate-*r* associate-*l*
15×unswap-sqr
12×add-cbrt-cube
8×div-exp prod-exp
6×pow1
4×expm1-log1p-u cbrt-undiv cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
2×rec-exp 1-exp div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 128
Calls
4 calls:
Slowest
32.0ms
(* (/ 1 (cbrt (fma x x x))) (/ -1 (cbrt (fma x x x))))
2.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))

series288.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
85.0ms
(* (/ 1 (cbrt (fma x x x))) (/ -1 (cbrt (fma x x x))))
78.0ms
(cbrt (fma x x x))
73.0ms
(cbrt (fma x x x))
51.0ms
(cbrt (fma x x x))

simplify10.3s

Counts
110 → 140
Calls
110 calls:
Slowest
543.0ms
(* (* (* (/ 1 (cbrt (fma x x x))) (/ 1 (cbrt (fma x x x)))) (/ 1 (cbrt (fma x x x)))) (* (* (/ -1 (cbrt (fma x x x))) (/ -1 (cbrt (fma x x x)))) (/ -1 (cbrt (fma x x x)))))
344.0ms
(* (/ (* (* 1 1) 1) (fma x x x)) (/ (* (* -1 -1) -1) (fma x x x)))
336.0ms
(* (/ (* (* 1 1) 1) (fma x x x)) (* (* (/ -1 (cbrt (fma x x x))) (/ -1 (cbrt (fma x x x)))) (/ -1 (cbrt (fma x x x)))))
312.0ms
(- (+ (* 1/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
287.0ms
(- (* 2/3 (pow (/ 1 (pow x 7)) 1/3)) (+ (* 5/9 (pow (/ 1 (pow x 10)) 1/3)) (pow (/ 1 (pow x 4)) 1/3)))

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.9b

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
693.0ms1943×body640valid
343.0ms4203×body80valid
256.0ms1229×body320valid
120.0ms626×body160valid