Details

Time bar (total: 59.6s)

sample137.0ms

Algorithm
intervals
Results
64.0ms107×body1280valid
29.0ms73×body640valid
19.0ms282×body80valid
11.0ms47×body320valid
3.0ms19×body160valid

simplify83.0ms

Calls
1 calls:
Slowest
83.0ms
(/ (- (exp x) (exp (- x))) 2)

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize12.0ms

Local error

Found 1 expressions with local error:

5.1b
(- (exp x) (exp (- x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
9×prod-diff
8×add-cube-cbrt
3×fma-neg add-log-exp
1×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
Calls
1 calls:
Slowest
13.0ms
(- (exp x) (exp (- x)))

series60.0ms

Calls
1 calls:
Slowest
60.0ms
(- (exp x) (exp (- x)))

simplify2.3s

Calls
27 calls:
Slowest
312.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
225.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
190.0ms
(fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))
186.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
181.0ms
(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))

prune269.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Calls
2 calls:
Slowest
10.0ms
(* x (fma 1/3 (* x x) 2))
0.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

series229.0ms

Calls
2 calls:
Slowest
129.0ms
(* x (fma 1/3 (* x x) 2))
99.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

simplify2.3s

Calls
18 calls:
Slowest
735.0ms
(* (* (* x x) x) (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
330.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
324.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
269.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
154.0ms
(+ (* 2 x) (* 1/3 (pow x 3)))

prune410.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
64×associate-*r*
58×add-sqr-sqrt
26×unswap-sqr
17×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
15×associate-*l*
9×swap-sqr pow-prod-down prod-exp cbrt-unprod
8×*-commutative
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×fma-udef
Calls
3 calls:
Slowest
80.0ms
(* x (* 1/3 (* x x)))
24.0ms
(* 1/3 (* x x))
0.0ms
(fma 1/60 (pow x 5) (+ (* x (* 1/3 (* x x))) (* x 2)))

series150.0ms

Calls
3 calls:
Slowest
78.0ms
(fma 1/60 (pow x 5) (+ (* x (* 1/3 (* x x))) (* x 2)))
44.0ms
(* x (* 1/3 (* x x)))
27.0ms
(* 1/3 (* x x))

simplify4.0s

Calls
86 calls:
Slowest
561.0ms
(* (* (* x x) x) (* (* (* 1/3 (* x x)) (* 1/3 (* x x))) (* 1/3 (* x x))))
475.0ms
(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* (* x x) (* x x)) (* x x))))
470.0ms
(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* (* x x) x) (* (* x x) x))))
366.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
294.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

5.1b
(- (sqrt (exp x)) (sqrt (exp (- x))))
0.0b
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
0.0b
(sqrt (exp x))
0.0b
(sqrt (exp x))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
131×sqrt-prod
108×prod-diff
104×add-sqr-sqrt
96×*-un-lft-identity
84×add-cube-cbrt
38×distribute-rgt-in distribute-lft-in
9×associate-*r*
8×pow1 sqrt-pow1 difference-of-squares
6×exp-prod add-cbrt-cube fma-neg add-exp-log add-log-exp
5×associate-*l*
4×expm1-log1p-u frac-times flip3-- insert-posit16 log1p-expm1-u flip-- distribute-lft-out--
3×sub-neg flip3-+ flip-+
2×rem-sqrt-square pow1/2 associate-*l/ associate-*r/ distribute-lft-out
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Calls
4 calls:
Slowest
102.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
18.0ms
(- (sqrt (exp x)) (sqrt (exp (- x))))
3.0ms
(sqrt (exp x))
2.0ms
(sqrt (exp x))

series310.0ms

Calls
4 calls:
Slowest
174.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
93.0ms
(- (sqrt (exp x)) (sqrt (exp (- x))))
29.0ms
(sqrt (exp x))
14.0ms
(sqrt (exp x))

simplify39.7s

Calls
222 calls:
Slowest
858.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (fma (- (sqrt (cbrt (exp (- x))))) (sqrt (* (cbrt (exp (- x))) (cbrt (exp (- x))))) (* (sqrt (cbrt (exp (- x)))) (sqrt (* (cbrt (exp (- x))) (cbrt (exp (- x))))))))
698.0ms
(* (fma (- (sqrt (sqrt (exp (- x))))) (sqrt (sqrt (exp (- x)))) (* (sqrt (sqrt (exp (- x)))) (sqrt (sqrt (exp (- x)))))) (+ (sqrt (exp x)) (sqrt (exp (- x)))))
694.0ms
(* (fma (- (sqrt (sqrt (exp (- x))))) (sqrt (sqrt (exp (- x)))) (* (sqrt (sqrt (exp (- x)))) (sqrt (sqrt (exp (- x)))))) (+ (sqrt (exp x)) (sqrt (exp (- x)))))
691.0ms
(* (fma (- (sqrt (sqrt (exp (- x))))) (sqrt (sqrt (exp (- x)))) (* (sqrt (sqrt (exp (- x)))) (sqrt (sqrt (exp (- x)))))) (+ (sqrt (exp x)) (sqrt (exp (- x)))))
686.0ms
(* (fma (- (sqrt (sqrt (exp (- x))))) (sqrt (sqrt (exp (- x)))) (* (sqrt (sqrt (exp (- x)))) (sqrt (sqrt (exp (- x)))))) (+ (sqrt (exp x)) (sqrt (exp (- x)))))

prune2.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.2s3337×body1280valid
1.6s2467×body640valid
704.0ms8140×body80valid
358.0ms1272×body320valid
138.0ms654×body160valid