Details

Time bar (total: 23.1s)

sample217.0ms

Algorithm
intervals
Results
102.0ms106×body1280valid
54.0ms83×body640valid
25.0ms263×body80nan
14.0ms36×body320valid
6.0ms23×body160valid
1.0ms8×body80valid

simplify147.0ms

Calls
1 calls:
Slowest
147.0ms
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize27.0ms

Local error

Found 2 expressions with local error:

5.9b
(log (/ (+ x 1) (- 1 x)))
0.0b
(/ (+ x 1) (- 1 x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×log-prod
7×add-exp-log
4×add-cbrt-cube associate-/r/
3×pow1 associate-/r* associate-/l*
2×expm1-log1p-u flip3-- div-exp rem-log-exp insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-+ log-pow flip-+
Calls
2 calls:
Slowest
7.0ms
(/ (+ x 1) (- 1 x))
3.0ms
(log (/ (+ x 1) (- 1 x)))

series87.0ms

Calls
2 calls:
Slowest
72.0ms
(log (/ (+ x 1) (- 1 x)))
15.0ms
(/ (+ x 1) (- 1 x))

simplify2.4s

Calls
53 calls:
Slowest
418.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
229.0ms
(- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)))
189.0ms
(- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)))
151.0ms
(log (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))))
113.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))

prune443.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 2/5 (pow x 5) (* (fma 2/3 (* x x) 2) x))
0.0b
(* (fma 2/3 (* x x) 2) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
1×*-commutative fma-udef
Calls
2 calls:
Slowest
3.0ms
(* (fma 2/3 (* x x) 2) x)
0.0ms
(fma 2/5 (pow x 5) (* (fma 2/3 (* x x) 2) x))

series60.0ms

Calls
2 calls:
Slowest
36.0ms
(* (fma 2/3 (* x x) 2) x)
24.0ms
(fma 2/5 (pow x 5) (* (fma 2/3 (* x x) 2) x))

simplify550.0ms

Calls
8 calls:
Slowest
134.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
115.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
105.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
51.0ms
(+ (* 2 x) (* 2/3 (pow x 3)))
47.0ms
(+ (* 2 x) (* 2/3 (pow x 3)))

prune336.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt (fma 2/3 (* x x) 2)) (* (sqrt (fma 2/3 (* x x) 2)) x))
0.4b
(* (sqrt (fma 2/3 (* x x) 2)) x)
0.0b
(sqrt (fma 2/3 (* x x) 2))
0.0b
(sqrt (fma 2/3 (* x x) 2))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l* sqrt-prod
10×*-un-lft-identity add-cube-cbrt
6×pow1 add-cbrt-cube add-exp-log
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square pow1/2 *-commutative
1×associate-*r* pow-prod-down prod-exp cbrt-unprod
Calls
4 calls:
Slowest
10.0ms
(* (sqrt (fma 2/3 (* x x) 2)) (* (sqrt (fma 2/3 (* x x) 2)) x))
3.0ms
(* (sqrt (fma 2/3 (* x x) 2)) x)
1.0ms
(sqrt (fma 2/3 (* x x) 2))
1.0ms
(sqrt (fma 2/3 (* x x) 2))

series182.0ms

Calls
4 calls:
Slowest
78.0ms
(* (sqrt (fma 2/3 (* x x) 2)) x)
40.0ms
(* (sqrt (fma 2/3 (* x x) 2)) (* (sqrt (fma 2/3 (* x x) 2)) x))
39.0ms
(sqrt (fma 2/3 (* x x) 2))
24.0ms
(sqrt (fma 2/3 (* x x) 2))

simplify4.4s

Calls
33 calls:
Slowest
471.0ms
(* (* (* (sqrt (fma 2/3 (* x x) 2)) (sqrt (fma 2/3 (* x x) 2))) (sqrt (fma 2/3 (* x x) 2))) (* (* (* (sqrt (fma 2/3 (* x x) 2)) x) (* (sqrt (fma 2/3 (* x x) 2)) x)) (* (sqrt (fma 2/3 (* x x) 2)) x)))
430.0ms
(- (+ (sqrt 2) (* 1/3 (/ (pow x 2) (sqrt 2)))) (* 1/18 (/ (pow x 4) (pow (sqrt 2) 3))))
398.0ms
(- (* 1/2 (/ 1 (* (pow x 3) (pow (sqrt 2/3) 3)))) (+ (/ 1 (* x (sqrt 2/3))) (* x (sqrt 2/3))))
386.0ms
(- (+ (/ 1 (* x (sqrt 2/3))) (* x (sqrt 2/3))) (* 1/2 (/ 1 (* (pow x 3) (pow (sqrt 2/3) 3)))))
378.0ms
(- (* 1/2 (/ 1 (* (pow x 3) (pow (sqrt 2/3) 3)))) (+ (/ 1 (* x (sqrt 2/3))) (* x (sqrt 2/3))))

prune946.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (* (* (sqrt (fma 2/3 (* x x) 2)) (sqrt (fma 2/3 (* x x) 2))) (sqrt (fma 2/3 (* x x) 2))))
1.0b
(* (sqrt (fma 2/3 (* x x) 2)) (sqrt (fma 2/3 (* x x) 2)))
0.4b
(* (sqrt (fma 2/3 (* x x) 2)) (* (cbrt (* (* (sqrt (fma 2/3 (* x x) 2)) (sqrt (fma 2/3 (* x x) 2))) (sqrt (fma 2/3 (* x x) 2)))) x))
0.4b
(* (cbrt (* (* (sqrt (fma 2/3 (* x x) 2)) (sqrt (fma 2/3 (* x x) 2))) (sqrt (fma 2/3 (* x x) 2)))) x)

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*l*
11×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
9×sqrt-prod
8×add-cbrt-cube add-exp-log
7×associate-*r*
4×expm1-log1p-u pow1/2 insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down *-commutative
2×cbrt-prod prod-exp pow-prod-up cbrt-unprod
1×pow2 rem-square-sqrt pow-plus pow1/3 sqrt-unprod pow3 rem-cbrt-cube
Calls
4 calls:
Slowest
70.0ms
(* (sqrt (fma 2/3 (* x x) 2)) (* (cbrt (* (* (sqrt (fma 2/3 (* x x) 2)) (sqrt (fma 2/3 (* x x) 2))) (sqrt (fma 2/3 (* x x) 2)))) x))
18.0ms
(* (cbrt (* (* (sqrt (fma 2/3 (* x x) 2)) (sqrt (fma 2/3 (* x x) 2))) (sqrt (fma 2/3 (* x x) 2)))) x)
10.0ms
(cbrt (* (* (sqrt (fma 2/3 (* x x) 2)) (sqrt (fma 2/3 (* x x) 2))) (sqrt (fma 2/3 (* x x) 2))))
6.0ms
(* (sqrt (fma 2/3 (* x x) 2)) (sqrt (fma 2/3 (* x x) 2)))

series167.0ms

Calls
4 calls:
Slowest
70.0ms
(* (cbrt (* (* (sqrt (fma 2/3 (* x x) 2)) (sqrt (fma 2/3 (* x x) 2))) (sqrt (fma 2/3 (* x x) 2)))) x)
38.0ms
(* (sqrt (fma 2/3 (* x x) 2)) (* (cbrt (* (* (sqrt (fma 2/3 (* x x) 2)) (sqrt (fma 2/3 (* x x) 2))) (sqrt (fma 2/3 (* x x) 2)))) x))
36.0ms
(cbrt (* (* (sqrt (fma 2/3 (* x x) 2)) (sqrt (fma 2/3 (* x x) 2))) (sqrt (fma 2/3 (* x x) 2))))
23.0ms
(* (sqrt (fma 2/3 (* x x) 2)) (sqrt (fma 2/3 (* x x) 2)))

simplify3.9s

Calls
47 calls:
Slowest
421.0ms
(- (+ (/ 1 (* x (sqrt 2/3))) (* x (sqrt 2/3))) (* 1/2 (/ 1 (* (pow x 3) (pow (sqrt 2/3) 3)))))
399.0ms
(- (* 1/2 (/ 1 (* (pow x 3) (pow (sqrt 2/3) 3)))) (+ (/ 1 (* x (sqrt 2/3))) (* x (sqrt 2/3))))
373.0ms
(- (+ (sqrt 2) (* 1/3 (/ (pow x 2) (sqrt 2)))) (* 1/18 (/ (pow x 4) (pow (sqrt 2) 3))))
352.0ms
(- (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt 2/3) 3)))) (+ (* (pow x 2) (sqrt 2/3)) (/ 1 (sqrt 2/3))))
305.0ms
(- (+ (* (pow x 2) (sqrt 2/3)) (/ 1 (sqrt 2/3))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt 2/3) 3)))))

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes40.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample7.9s

Algorithm
intervals
Results
4.0s3465×body1280valid
2.0s2497×body640valid
905.0ms7905×body80nan
541.0ms1217×body320valid
149.0ms607×body160valid
25.0ms214×body80valid