Details

Time bar (total: 1.5m)

sample59.0ms

Algorithm
intervals
Results
24.0ms70×body640valid
11.0ms125×body80valid
10.0ms38×body320valid
4.0ms23×body160valid

simplify43.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
43.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize12.0ms

Local error

Found 2 expressions with local error:

2.9b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite67.0ms

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
45.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
13.0ms
(/ 1 (+ x 1))

series44.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
31.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
14.0ms
(/ 1 (+ x 1))

simplify1.1m

Counts
563 → 333
Calls
563 calls:
Slowest
456.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ (cbrt 1) x) (/ (* (cbrt 1) (cbrt 1)) 1))))
438.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))))
433.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))))))
407.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x))))))
392.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) 1)))

prune2.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ -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))

series32.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
32.0ms
(/ -1 (fma x x x))

simplify1.5s

Counts
28 → 33
Calls
28 calls:
Slowest
313.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
280.0ms
(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))
267.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
95.0ms
(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (fma x x x)) (cbrt (fma x x x))))
69.0ms
(/ (sqrt -1) (* (cbrt (fma x x x)) (cbrt (fma x x x))))

prune269.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

18.5b
(cbrt (/ -1 (fma x x x)))
18.5b
(cbrt (/ -1 (fma x x x)))
18.5b
(cbrt (/ -1 (fma x x x)))
0.7b
(/ -1 (fma x x x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
36×times-frac
33×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u div-inv add-log-exp
3×cbrt-div associate-/r* pow1/3 associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp
Counts
4 → 105
Calls
4 calls:
Slowest
8.0ms
(/ -1 (fma x x x))
3.0ms
(cbrt (/ -1 (fma x x x)))
3.0ms
(cbrt (/ -1 (fma x x x)))
3.0ms
(cbrt (/ -1 (fma x x x)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
103.0ms
(cbrt (/ -1 (fma x x x)))
88.0ms
(cbrt (/ -1 (fma x x x)))
82.0ms
(cbrt (/ -1 (fma x x x)))
39.0ms
(/ -1 (fma x x x))

simplify4.8s

Counts
79 → 117
Calls
79 calls:
Slowest
286.0ms
(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))
284.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
280.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
250.0ms
(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))
247.0ms
(- (+ (* 2/9 (* (pow (/ 1 (pow x 8)) 1/3) (cbrt -1))) (* (pow (/ 1 (pow x 2)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 5)) 1/3) (cbrt -1))))

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

18.7b
(sqrt (fma x x x))
18.7b
(sqrt (fma x x x))
0.2b
(* (/ 1 (sqrt (fma x x x))) (/ -1 (sqrt (fma x x x))))
0.1b
(/ 1 (sqrt (fma x x x)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
30×add-exp-log
22×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×pow1 div-exp
8×prod-exp
6×associate-/r*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp sqrt-pow1 pow1/2 1-exp div-inv pow-flip associate-/l*
2×rem-sqrt-square
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
4 → 166
Calls
4 calls:
Slowest
40.0ms
(* (/ 1 (sqrt (fma x x x))) (/ -1 (sqrt (fma x x x))))
11.0ms
(/ 1 (sqrt (fma x x x)))
1.0ms
(sqrt (fma x x x))
1.0ms
(sqrt (fma x x x))

series188.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
66.0ms
(/ 1 (sqrt (fma x x x)))
51.0ms
(sqrt (fma x x x))
43.0ms
(sqrt (fma x x x))
29.0ms
(* (/ 1 (sqrt (fma x x x))) (/ -1 (sqrt (fma x x x))))

simplify10.2s

Counts
161 → 178
Calls
161 calls:
Slowest
770.0ms
(* (* (* (/ 1 (sqrt (fma x x x))) (/ 1 (sqrt (fma x x x)))) (/ 1 (sqrt (fma x x x)))) (/ (* (* -1 -1) -1) (* (* (sqrt (fma x x x)) (sqrt (fma x x x))) (sqrt (fma x x x)))))
570.0ms
(* (* (* (/ 1 (sqrt (fma x x x))) (/ 1 (sqrt (fma x x x)))) (/ 1 (sqrt (fma x x x)))) (* (* (/ -1 (sqrt (fma x x x))) (/ -1 (sqrt (fma x x x)))) (/ -1 (sqrt (fma x x x)))))
312.0ms
(/ (* (* 1 1) 1) (* (* (sqrt (fma x x x)) (sqrt (fma x x x))) (sqrt (fma x x x))))
286.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
250.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.0s1954×body640valid
302.0ms4172×body80valid
273.0ms1220×body320valid
89.0ms654×body160valid