Details

sample429.0ms

Algorithm

halfpoints

Results

simplify194.0ms

Calls

1 calls:

Slowest

193.0ms

(im (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.4b

localize79.0ms

Local error

Found 2 expressions with local error:

58.3b	(- (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-log-exp`
3×	`fma-neg` `associate-r`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares`

Calls

2 calls:

Slowest

22.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
7.0ms	(- (exp x) (exp (- x)))

series195.0ms

Calls

2 calls:

Slowest

125.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
70.0ms	(- (exp x) (exp (- x)))

simplify3.0s

Calls

40 calls:

Slowest

696.0ms	(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
364.0ms	(fma 1 (exp x) (- (* (exp (- x)) 1)))
193.0ms	(* 1/2 (* (- (exp x) (exp (- x))) (sin y)))
175.0ms	(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))
155.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))

prune667.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (/ (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)) 2) (sin y))
0.0b	(* (fma 1/3 (* x x) 2) x)
0.0b	(fma 1/3 (* x x) 2)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-l`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv`

Calls

3 calls:

Slowest

8.0ms	(* (/ (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)) 2) (sin y))
4.0ms	(* (fma 1/3 (* x x) 2) x)
0.0ms	(fma 1/3 (* x x) 2)

series274.0ms

Calls

3 calls:

Slowest

118.0ms	(* (/ (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)) 2) (sin y))
95.0ms	(* (fma 1/3 (* x x) 2) x)
61.0ms	(fma 1/3 (* x x) 2)

simplify1.3s

Calls

21 calls:

Slowest

191.0ms	(* (/ (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)) 2) (sin y))
179.0ms	(* (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)) (sin y))
133.0ms	(* (* (* (/ (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)) 2) (/ (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)) 2)) (/ (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)) 2)) (* (* (sin y) (sin y)) (sin y)))
132.0ms	(+ (* 1/120 (* (pow x 5) (sin y))) (* 1/6 (* (pow x 3) (sin y))))
119.0ms	(+ (log (/ (fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x)) 2)) (log (sin y)))

prune918.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (fma 1/60 (pow x 5) (* (cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2))) x)) 2) (sin y))
0.0b	(* (cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2))) x)
0.0b	(* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2))
0.0b	(cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `associate-l`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow1/3` `pow3` `associate-*l/` `pow-prod-up` `rem-cbrt-cube` `div-inv`

Calls

4 calls:

Slowest

22.0ms	(* (cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2))) x)
9.0ms	(* (/ (fma 1/60 (pow x 5) (* (cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2))) x)) 2) (sin y))
8.0ms	(cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
7.0ms	(* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2))

series364.0ms

Calls

4 calls:

Slowest

124.0ms	(* (cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2))) x)
114.0ms	(* (/ (fma 1/60 (pow x 5) (* (cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2))) x)) 2) (sin y))
78.0ms	(cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
48.0ms	(* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2))

simplify3.3s

Calls

39 calls:

Slowest

490.0ms	(* (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)) (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
268.0ms	(cbrt (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)))
267.0ms	(cbrt (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)))
192.0ms	(* (/ (fma 1/60 (pow x 5) (* (cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2))) x)) 2) (sin y))
177.0ms	(* (cbrt (cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))) (cbrt (cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))))

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/3)
0.2b	(/ (fma (pow x 5) 1/60 (* (fma x (* x 1/3) 2) x)) (/ 2 (sin y)))
0.1b	(/ 2 (sin y))
0.0b	(* (fma x (* x 1/3) 2) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
7×	`associate-/r*`
6×	`add-cbrt-cube` `add-exp-log` `div-inv`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/l*`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`cbrt-undiv` `div-exp` `associate-/r/`

Calls

4 calls:

Slowest

4.0ms	(/ (fma (pow x 5) 1/60 (* (fma x (* x 1/3) 2) x)) (/ 2 (sin y)))
3.0ms	(* (fma x (* x 1/3) 2) x)
1.0ms	(/ 2 (sin y))
0.0ms	(* x 1/3)

series294.0ms

Calls

4 calls:

Slowest

123.0ms	(* (fma x (* x 1/3) 2) x)
120.0ms	(/ (fma (pow x 5) 1/60 (* (fma x (* x 1/3) 2) x)) (/ 2 (sin y)))
26.0ms	(* x 1/3)
25.0ms	(/ 2 (sin y))

simplify3.8s

Calls

50 calls:

Slowest

218.0ms	(/ (fma (pow x 5) 1/60 (* (fma x (* x 1/3) 2) x)) (/ 2 (sin y)))
183.0ms	(/ (* (* (fma (pow x 5) 1/60 (* (fma x (* x 1/3) 2) x)) (fma (pow x 5) 1/60 (* (fma x (* x 1/3) 2) x))) (fma (pow x 5) 1/60 (* (fma x (* x 1/3) 2) x))) (* (* (/ 2 (sin y)) (/ 2 (sin y))) (/ 2 (sin y))))
176.0ms	(+ (* 1/120 (* (pow x 5) (sin y))) (* 1/6 (* (pow x 3) (sin y))))
171.0ms	(/ (fma (pow x 5) 1/60 (* (fma x (* x 1/3) 2) x)) (/ 1 (sin y)))
157.0ms	(/ (* (cbrt (fma (pow x 5) 1/60 (* (fma x (* x 1/3) 2) x))) (cbrt (fma (pow x 5) 1/60 (* (fma x (* x 1/3) 2) x)))) (* (cbrt (/ 2 (sin y))) (cbrt (/ 2 (sin y)))))

prune1.7s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes269.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch11.0ms

end0.0ms

sample12.9s

Algorithm

halfpoints

Results