Details

Time bar (total: 6.0m)

sample78.0ms

Algorithm
intervals
Results
27.0ms56×body1280valid
18.0ms46×body640valid
13.0ms124×body80valid
6.0ms20×body320valid
2.0ms10×body160valid

simplify67.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
67.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize29.0ms

Local error

Found 2 expressions with local error:

3.3b
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0b
(/ x (+ x 1))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
1239×*-un-lft-identity
956×times-frac
807×add-sqr-sqrt
612×prod-diff
507×add-cube-cbrt
243×distribute-lft-out
148×difference-of-squares
108×associate-/r/
85×distribute-lft-out--
72×difference-of-sqr-1
54×div-inv
36×flip3-+ flip-+
19×flip3-- flip--
18×fma-neg
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp frac-sub
Counts
2 → 695
Calls
2 calls:
Slowest
85.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
16.0ms
(/ x (+ x 1))

series151.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
113.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
38.0ms
(/ x (+ x 1))

simplify5.4m

Counts
1308 → 701
Calls
1308 calls:
Slowest
919.0ms
(fma (- (/ 1 (- x 1))) (+ x 1) (* (/ 1 (- x 1)) (+ x 1)))
868.0ms
(fma (/ (sqrt x) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt x) (cbrt (+ x 1))) (- (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1))))))
803.0ms
(fma (- (+ x 1)) (/ (+ x 1) (- (* x x) (* 1 1))) (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1)))))
799.0ms
(fma (- (+ x 1)) (/ (+ x 1) (- (* x x) (* 1 1))) (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1)))))
795.0ms
(fma (- (+ x 1)) (/ (+ x 1) (- (* x x) (* 1 1))) (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1)))))

prune5.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

5.6b
(fma 3 (+ (/ -1 x) (/ (/ -1 x) (* x x))) (/ -1 (* x x)))
0.4b
(/ -1 (* x x))
0.1b
(/ (/ -1 x) (* x x))
0.0b
(+ (/ -1 x) (/ (/ -1 x) (* x x)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
43×times-frac
29×*-un-lft-identity
27×add-sqr-sqrt add-cube-cbrt
21×add-cbrt-cube add-exp-log
16×associate-/l*
13×fma-def
8×cbrt-undiv div-exp
6×add-log-exp
5×div-inv
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×prod-exp cbrt-unprod
2×clear-num associate-/r* frac-2neg
1×+-commutative sum-log flip3-+ frac-add flip-+ fma-udef distribute-lft-out associate-/l/
Counts
4 → 113
Calls
4 calls:
Slowest
28.0ms
(+ (/ -1 x) (/ (/ -1 x) (* x x)))
11.0ms
(/ (/ -1 x) (* x x))
7.0ms
(/ -1 (* x x))
0.0ms
(fma 3 (+ (/ -1 x) (/ (/ -1 x) (* x x))) (/ -1 (* x x)))

series199.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(+ (/ -1 x) (/ (/ -1 x) (* x x)))
48.0ms
(/ -1 (* x x))
45.0ms
(/ (/ -1 x) (* x x))
35.0ms
(fma 3 (+ (/ -1 x) (/ (/ -1 x) (* x x))) (/ -1 (* x x)))

simplify4.9s

Counts
84 → 125
Calls
84 calls:
Slowest
428.0ms
(/ (* (* -1 -1) -1) (* (* (* x x) x) (* (* x x) x)))
428.0ms
(/ (* (* -1 -1) -1) (* (* (* x x) (* x x)) (* x x)))
387.0ms
(/ (* (cbrt -1) (cbrt -1)) 1)
262.0ms
(- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x)))))
252.0ms
(- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x)))))

prune951.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

23.6b
(cbrt (/ -1 (* (* x (* x x)) (* x (* x x)))))
5.6b
(fma 3 (+ (/ -1 x) (/ (/ -1 x) (* x x))) (cbrt (/ -1 (* (* x (* x x)) (* x (* x x))))))
0.1b
(/ (/ -1 x) (* x x))
0.1b
(* x (* x x))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
34×times-frac
22×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
18×pow1
13×associate-/l*
7×cbrt-prod
6×cbrt-undiv div-exp
5×prod-exp pow-prod-up cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
3×associate-*l* pow-prod-down
1×pow2 cbrt-div clear-num associate-/r* frac-2neg pow-plus pow1/3 cube-unmult associate-*r* pow-sqr *-commutative fma-udef unswap-sqr associate-/l/
Counts
4 → 106
Calls
4 calls:
Slowest
118.0ms
(cbrt (/ -1 (* (* x (* x x)) (* x (* x x)))))
29.0ms
(* x (* x x))
22.0ms
(/ (/ -1 x) (* x x))
0.0ms
(fma 3 (+ (/ -1 x) (/ (/ -1 x) (* x x))) (cbrt (/ -1 (* (* x (* x x)) (* x (* x x))))))

series218.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
67.0ms
(cbrt (/ -1 (* (* x (* x x)) (* x (* x x)))))
60.0ms
(* x (* x x))
50.0ms
(/ (/ -1 x) (* x x))
40.0ms
(fma 3 (+ (/ -1 x) (/ (/ -1 x) (* x x))) (cbrt (/ -1 (* (* x (* x x)) (* x (* x x))))))

simplify4.8s

Counts
79 → 118
Calls
79 calls:
Slowest
509.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
465.0ms
(cbrt (sqrt (/ -1 (* (* x (* x x)) (* x (* x x))))))
462.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
299.0ms
(- (/ (cbrt -1) (pow x 2)) (+ (* 3 (/ 1 (pow x 3))) (* 3 (/ 1 x))))
260.0ms
(- (/ (cbrt -1) (pow x 2)) (+ (* 3 (/ 1 (pow x 3))) (* 3 (/ 1 x))))

prune988.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

5.4b
(- (/ (cbrt -1) (* x x)) (fma (/ 3 x) (/ 1 (* x x)) (/ 3 x)))
0.4b
(/ (cbrt -1) (* x x))
0.4b
(/ 1 (* x x))
0.1b
(fma (/ 3 x) (/ 1 (* x x)) (/ 3 x))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
35×times-frac
34×*-un-lft-identity
32×add-cube-cbrt
30×prod-diff
20×add-exp-log
19×cbrt-prod
12×pow1 add-cbrt-cube
10×fma-neg
9×associate-/l*
6×div-exp div-inv pow-flip add-log-exp
4×expm1-log1p-u cbrt-undiv prod-exp insert-posit16 log1p-expm1-u
3×difference-of-squares
2×rec-exp clear-num associate-/r* frac-2neg 1-exp cbrt-unprod fma-udef
1×pow2 sub-neg pow-plus flip3-- diff-log pow-prod-down pow-sqr pow-prod-up flip-- associate--r+ distribute-lft-out-- inv-pow
Counts
4 → 136
Calls
4 calls:
Slowest
44.0ms
(- (/ (cbrt -1) (* x x)) (fma (/ 3 x) (/ 1 (* x x)) (/ 3 x)))
10.0ms
(/ 1 (* x x))
9.0ms
(/ (cbrt -1) (* x x))
0.0ms
(fma (/ 3 x) (/ 1 (* x x)) (/ 3 x))

series266.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
113.0ms
(fma (/ 3 x) (/ 1 (* x x)) (/ 3 x))
76.0ms
(/ (cbrt -1) (* x x))
53.0ms
(- (/ (cbrt -1) (* x x)) (fma (/ 3 x) (/ 1 (* x x)) (/ 3 x)))
23.0ms
(/ 1 (* x x))

simplify17.0s

Counts
131 → 148
Calls
131 calls:
Slowest
532.0ms
(+ (* 3 (/ 1 (pow x 3))) (* 3 (/ 1 x)))
438.0ms
(fma (sqrt (/ (cbrt -1) (* x x))) (sqrt (/ (cbrt -1) (* x x))) (- (* (sqrt (fma (/ 3 x) (/ 1 (* x x)) (/ 3 x))) (sqrt (fma (/ 3 x) (/ 1 (* x x)) (/ 3 x))))))
346.0ms
(fma (- (fma (/ 3 x) (/ 1 (* x x)) (/ 3 x))) 1 (* (fma (/ 3 x) (/ 1 (* x x)) (/ 3 x)) 1))
318.0ms
(fma (- (fma (/ 3 x) (/ 1 (* x x)) (/ 3 x))) 1 (* (fma (/ 3 x) (/ 1 (* x x)) (/ 3 x)) 1))
313.0ms
(fma (/ (cbrt 1) x) (/ (cbrt -1) x) (- (* (fma (/ 3 x) (/ 1 (* x x)) (/ 3 x)) 1)))

prune926.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes61.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.3b

bsearch112.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
536.0ms1750×body1280valid
335.0ms4086×body80valid
293.0ms1212×body640valid
120.0ms648×body320valid
33.0ms304×body160valid