Details

Time bar (total: 20.1s)

sample55.0ms

Algorithm
intervals
Results
18.0ms49×body640valid
13.0ms143×body80valid
10.0ms39×body320valid
4.0ms25×body160valid

simplify31.0ms

Calls
1 calls:
Slowest
31.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize22.0ms

Local error

Found 2 expressions with local error:

2.5b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
24×prod-diff
18×*-un-lft-identity
16×add-sqr-sqrt div-inv
14×add-cube-cbrt
12×associate-/r/
6×flip3-+ fma-neg flip-+
4×distribute-lft-out-- add-log-exp
3×pow1 associate-/r* add-exp-log
2×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u
1×rec-exp clear-num sub-neg frac-2neg flip3-- diff-log frac-sub pow-flip flip-- inv-pow difference-of-squares
Calls
2 calls:
Slowest
15.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
2.0ms
(/ 1 (+ x 1))

series44.0ms

Calls
2 calls:
Slowest
33.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
11.0ms
(/ 1 (+ x 1))

simplify4.9s

Calls
73 calls:
Slowest
332.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))))))
320.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) 1)))
279.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))))
261.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) 1)))
240.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))))

prune570.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ -1 (fma x x x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-/r*
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×expm1-log1p-u pow1 clear-num frac-2neg add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u div-inv add-log-exp
Calls
1 calls:
Slowest
1.0ms
(/ -1 (fma x x x))

series12.0ms

Calls
1 calls:
Slowest
12.0ms
(/ -1 (fma x x x))

simplify351.0ms

Calls
6 calls:
Slowest
153.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
108.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
83.0ms
(- 1 (+ x (/ 1 x)))
3.0ms
(cbrt (fma x x x))
3.0ms
(sqrt (fma x x x))

prune167.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

13.3b
(sqrt (fma x x x))
13.3b
(sqrt (fma x x x))
0.1b
(/ (/ -1 (sqrt (fma x x x))) (sqrt (fma x x x)))
0.1b
(/ -1 (sqrt (fma x x x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×*-un-lft-identity add-cube-cbrt
24×times-frac sqrt-prod
12×associate-/r*
9×div-inv
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×rem-sqrt-square clear-num frac-2neg pow1/2
1×cbrt-undiv div-exp associate-/l/
Calls
4 calls:
Slowest
10.0ms
(/ (/ -1 (sqrt (fma x x x))) (sqrt (fma x x x)))
2.0ms
(sqrt (fma x x x))
2.0ms
(sqrt (fma x x x))
2.0ms
(/ -1 (sqrt (fma x x x)))

series84.0ms

Calls
4 calls:
Slowest
25.0ms
(sqrt (fma x x x))
24.0ms
(sqrt (fma x x x))
20.0ms
(/ -1 (sqrt (fma x x x)))
16.0ms
(/ (/ -1 (sqrt (fma x x x))) (sqrt (fma x x x)))

simplify4.0s

Calls
84 calls:
Slowest
382.0ms
(/ (* (* (/ -1 (sqrt (fma x x x))) (/ -1 (sqrt (fma x x x)))) (/ -1 (sqrt (fma x x x)))) (* (* (sqrt (fma x x x)) (sqrt (fma x x x))) (sqrt (fma x x x))))
223.0ms
(- (+ (* 3/8 (/ 1 (pow x 3))) (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))
197.0ms
(- (* 1/2 (/ 1 (pow x 2))) (+ (* 3/8 (/ 1 (pow x 3))) (/ 1 x)))
130.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
108.0ms
(/ (* (cbrt (/ -1 (sqrt (fma x x x)))) (cbrt (/ -1 (sqrt (fma x x x))))) (* (cbrt (sqrt (fma x x x))) (cbrt (sqrt (fma x x x)))))

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

13.3b
(sqrt (fma x x x))
13.3b
(sqrt (fma x x x))
13.3b
(sqrt (fma x x x))
0.2b
(/ (/ -1 (sqrt (fma x x x))) (sqrt (sqrt (fma x x x))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
54×sqrt-prod
36×times-frac
35×add-sqr-sqrt
32×*-un-lft-identity add-cube-cbrt
11×div-inv
9×associate-/r*
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u associate-/l* add-log-exp
3×rem-sqrt-square pow1/2
1×cbrt-undiv clear-num frac-2neg div-exp associate-/l/
Calls
4 calls:
Slowest
18.0ms
(/ (/ -1 (sqrt (fma x x x))) (sqrt (sqrt (fma x x x))))
2.0ms
(sqrt (fma x x x))
2.0ms
(sqrt (fma x x x))
2.0ms
(sqrt (fma x x x))

series104.0ms

Calls
4 calls:
Slowest
49.0ms
(/ (/ -1 (sqrt (fma x x x))) (sqrt (sqrt (fma x x x))))
20.0ms
(sqrt (fma x x x))
19.0ms
(sqrt (fma x x x))
15.0ms
(sqrt (fma x x x))

simplify5.8s

Calls
109 calls:
Slowest
495.0ms
(/ (* (* (/ -1 (sqrt (fma x x x))) (/ -1 (sqrt (fma x x x)))) (/ -1 (sqrt (fma x x x)))) (* (* (sqrt (sqrt (fma x x x))) (sqrt (sqrt (fma x x x)))) (sqrt (sqrt (fma x x x)))))
247.0ms
(- (* 3/4 (/ (sqrt (pow (/ -1 x) 3)) x)) (+ (sqrt (pow (/ -1 x) 3)) (* 21/32 (/ (sqrt (pow (/ -1 x) 3)) (pow x 2)))))
170.0ms
(- (* 3/4 (pow x 1/4)) (+ (pow (/ 1 (pow x 3)) 1/4) (* 21/32 (pow (pow x 5) 1/4))))
167.0ms
(- (* 3/4 (sqrt (/ 1 (pow x 5)))) (+ (* 21/32 (sqrt (/ 1 (pow x 7)))) (sqrt (/ 1 (pow x 3)))))
120.0ms
(- (log (/ -1 (sqrt (fma x x x)))) (log (sqrt (sqrt (fma x x x)))))

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes93.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
678.0ms1858×body640valid
383.0ms1304×body320valid
340.0ms4199×body80valid
96.0ms641×body160valid