Details

Time bar (total: 37.5s)

sample76.0ms

Algorithm
intervals
Results
21.0ms41×body1280valid
20.0ms51×body640valid
10.0ms123×body80valid
10.0ms24×body320valid
3.0ms17×body160valid

simplify156.0ms

Calls
1 calls:
Slowest
156.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.5b

localize13.0ms

Local error

Found 3 expressions with local error:

4.5b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
74×add-sqr-sqrt
63×times-frac add-cube-cbrt
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
8×add-exp-log
7×add-log-exp
6×flip3-+ flip-+
5×add-cbrt-cube div-inv
4×associate-/r* difference-of-squares
3×expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u associate-/l*
2×expm1-def difference-of-sqr-1 div-exp
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out--
Calls
3 calls:
Slowest
147.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
34.0ms
(/ 2 (+ 1 (exp (* -2 x))))
19.0ms
(+ 1 (exp (* -2 x)))

series132.0ms

Calls
3 calls:
Slowest
75.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
39.0ms
(/ 2 (+ 1 (exp (* -2 x))))
17.0ms
(+ 1 (exp (* -2 x)))

simplify22.4s

Calls
185 calls:
Slowest
591.0ms
(fma (/ 1 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
562.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
370.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
349.0ms
(fma (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (/ (cbrt 2) (cbrt (+ 1 (exp (* -2 x))))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
348.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

13.4b
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.4b
(* x -1/3)
0.0b
(fma 2/15 (pow x 5) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×fma-udef
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Calls
3 calls:
Slowest
5.0ms
(* x -1/3)
0.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.0ms
(fma 2/15 (pow x 5) x)

series252.0ms

Calls
3 calls:
Slowest
143.0ms
(fma 2/15 (pow x 5) x)
84.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
25.0ms
(* x -1/3)

simplify1.1s

Calls
18 calls:
Slowest
186.0ms
(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
164.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
163.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
139.0ms
(+ x (* 2/15 (pow x 5)))
133.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune454.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

4.7b
(- (log 2) (log1p (exp (* -2 x))))
0.2b
(log1p (exp (* -2 x)))
0.0b
(expm1 (- (log 2) (log1p (exp (* -2 x)))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
14×add-sqr-sqrt
12×prod-diff add-cube-cbrt
8×pow1
7×add-log-exp
5×log-pow
4×expm1-log1p-u fma-neg diff-log log1p-expm1-u
3×log1p-udef log-prod add-cbrt-cube associate--l+ add-exp-log insert-posit16
2×distribute-lft-out--
1×expm1-log1p sub-neg flip3-- log1p-expm1 flip-- expm1-udef difference-of-squares
Calls
3 calls:
Slowest
7.0ms
(- (log 2) (log1p (exp (* -2 x))))
0.0ms
(log1p (exp (* -2 x)))
0.0ms
(expm1 (- (log 2) (log1p (exp (* -2 x)))))

series714.0ms

Calls
3 calls:
Slowest
347.0ms
(expm1 (- (log 2) (log1p (exp (* -2 x)))))
273.0ms
(- (log 2) (log1p (exp (* -2 x))))
94.0ms
(log1p (exp (* -2 x)))

simplify6.8s

Calls
48 calls:
Slowest
356.0ms
(fma (sqrt (log 2)) (sqrt (log 2)) (- (* (cbrt (log1p (exp (* -2 x)))) (* (cbrt (log1p (exp (* -2 x)))) (cbrt (log1p (exp (* -2 x))))))))
327.0ms
(fma (* (cbrt (log 2)) (cbrt (log 2))) (cbrt (log 2)) (- (* (cbrt (log1p (exp (* -2 x)))) (* (cbrt (log1p (exp (* -2 x)))) (cbrt (log1p (exp (* -2 x))))))))
302.0ms
(fma 1 (log 2) (- (* (cbrt (log1p (exp (* -2 x)))) (* (cbrt (log1p (exp (* -2 x)))) (cbrt (log1p (exp (* -2 x))))))))
274.0ms
(fma 1 (log 2) (- (* (cbrt (log1p (exp (* -2 x)))) (* (cbrt (log1p (exp (* -2 x)))) (cbrt (log1p (exp (* -2 x))))))))
237.0ms
(fma (- (cbrt (log1p (exp (* -2 x))))) (* (cbrt (log1p (exp (* -2 x)))) (cbrt (log1p (exp (* -2 x))))) (* (cbrt (log1p (exp (* -2 x)))) (* (cbrt (log1p (exp (* -2 x)))) (cbrt (log1p (exp (* -2 x)))))))

prune712.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes150.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.6b

bsearch158.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
979.0ms1210×body640valid
933.0ms1714×body1280valid
403.0ms4158×body80valid
173.0ms577×body320valid
59.0ms341×body160valid