Details

Time bar (total: 17.4s)

sample164.0ms

Algorithm
intervals
Results
83.0ms117×body1280valid
36.0ms79×body640valid
21.0ms261×body80valid
9.0ms31×body320valid
3.0ms18×body160valid

simplify89.0ms

Calls
1 calls:
Slowest
88.0ms
(/ (- (exp x) (exp (- x))) 2)

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize17.0ms

Local error

Found 1 expressions with local error:

6.0b
(- (exp x) (exp (- x)))

rewrite7.0ms

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
6.0ms
(- (exp x) (exp (- x)))

series46.0ms

Calls
1 calls:
Slowest
45.0ms
(- (exp x) (exp (- x)))

simplify1.3s

Calls
27 calls:
Slowest
98.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
98.0ms
(fma 1 (exp x) (- (* (exp (- x)) 1)))
79.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (exp (- x)) 1)))
72.0ms
(fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))
68.0ms
(/ (exp (exp x)) (exp (exp (- x))))

prune303.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×expm1-log1p-u pow1 add-cbrt-cube associate-*l* add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×fma-udef
1×*-commutative
Calls
3 calls:
Slowest
3.0ms
(* (fma 1/3 (* x x) 2) x)
0.0ms
(fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))
0.0ms
(fma 1/3 (* x x) 2)

series327.0ms

Calls
3 calls:
Slowest
121.0ms
(* (fma 1/3 (* x x) 2) x)
105.0ms
(fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))
100.0ms
(fma 1/3 (* x x) 2)

simplify607.0ms

Calls
11 calls:
Slowest
119.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
109.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
83.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
59.0ms
(+ (* 2 x) (* 1/3 (pow x 3)))
58.0ms
(+ (* 2 x) (* 1/3 (pow x 3)))

prune442.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (fma 1/3 (* x x) 2))
1.0b
(cbrt (fma 1/3 (* x x) 2))
1.0b
(cbrt (fma 1/3 (* x x) 2))
0.4b
(* (* (cbrt (fma 1/3 (* x x) 2)) (cbrt (fma 1/3 (* x x) 2))) (* (cbrt (fma 1/3 (* x x) 2)) x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod pow1 add-exp-log
7×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
1×associate-*r* associate-*l* *-commutative
Calls
4 calls:
Slowest
19.0ms
(* (* (cbrt (fma 1/3 (* x x) 2)) (cbrt (fma 1/3 (* x x) 2))) (* (cbrt (fma 1/3 (* x x) 2)) x))
1.0ms
(cbrt (fma 1/3 (* x x) 2))
1.0ms
(cbrt (fma 1/3 (* x x) 2))
1.0ms
(cbrt (fma 1/3 (* x x) 2))

series579.0ms

Calls
4 calls:
Slowest
168.0ms
(cbrt (fma 1/3 (* x x) 2))
148.0ms
(cbrt (fma 1/3 (* x x) 2))
145.0ms
(cbrt (fma 1/3 (* x x) 2))
117.0ms
(* (* (cbrt (fma 1/3 (* x x) 2)) (cbrt (fma 1/3 (* x x) 2))) (* (cbrt (fma 1/3 (* x x) 2)) x))

simplify4.0s

Calls
28 calls:
Slowest
525.0ms
(* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (* (* (* (cbrt (fma 1/3 (* x x) 2)) x) (* (cbrt (fma 1/3 (* x x) 2)) x)) (* (cbrt (fma 1/3 (* x x) 2)) x)))
490.0ms
(* (* (* (* (cbrt (fma 1/3 (* x x) 2)) (cbrt (fma 1/3 (* x x) 2))) (* (cbrt (fma 1/3 (* x x) 2)) (cbrt (fma 1/3 (* x x) 2)))) (* (cbrt (fma 1/3 (* x x) 2)) (cbrt (fma 1/3 (* x x) 2)))) (* (* (* (cbrt (fma 1/3 (* x x) 2)) x) (* (cbrt (fma 1/3 (* x x) 2)) x)) (* (cbrt (fma 1/3 (* x x) 2)) x)))
364.0ms
(- (+ (* 1/18 (* (pow x 2) (pow 2 1/3))) (pow 2 1/3)) (* 1/324 (* (pow x 4) (pow 2 1/3))))
342.0ms
(- (+ (* 1/18 (* (pow x 2) (pow 2 1/3))) (pow 2 1/3)) (* 1/324 (* (pow x 4) (pow 2 1/3))))
309.0ms
(- (+ (* 2 (/ (exp (* 1/3 (- (log 1/3) (* 2 (log (/ 1 x)))))) (pow x 2))) (exp (* 1/3 (- (log 1/3) (* 2 (log (/ 1 x))))))) (* 4 (/ (exp (* 1/3 (- (log 1/3) (* 2 (log (/ 1 x)))))) (pow x 4))))

prune673.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

41.2b
(cbrt (* (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x)) (* (fma 1/3 (* x x) 2) x)))
0.1b
(* (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x)) (* (fma 1/3 (* x x) 2) x))
0.0b
(* (fma 1/3 (* x x) 2) x)
0.0b
(* (fma 1/3 (* x x) 2) x)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1
9×add-cbrt-cube add-exp-log
7×associate-*l*
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow-plus pow-prod-up
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod
2×pow2 pow3
1×cbrt-prod pow1/3 associate-*r* rem-cbrt-cube
Calls
4 calls:
Slowest
46.0ms
(* (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x)) (* (fma 1/3 (* x x) 2) x))
36.0ms
(cbrt (* (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x)) (* (fma 1/3 (* x x) 2) x)))
8.0ms
(* (fma 1/3 (* x x) 2) x)
6.0ms
(* (fma 1/3 (* x x) 2) x)

series522.0ms

Calls
4 calls:
Slowest
196.0ms
(cbrt (* (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x)) (* (fma 1/3 (* x x) 2) x)))
116.0ms
(* (fma 1/3 (* x x) 2) x)
111.0ms
(* (fma 1/3 (* x x) 2) x)
98.0ms
(* (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x)) (* (fma 1/3 (* x x) 2) x))

simplify3.1s

Calls
35 calls:
Slowest
563.0ms
(* (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x)) (* (fma 1/3 (* x x) 2) x))
453.0ms
(* (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x)) (* (fma 1/3 (* x x) 2) x))
250.0ms
(* (* (* (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x)) (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x))) (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x))) (* (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x)) (* (fma 1/3 (* x x) 2) x)))
230.0ms
(+ (log (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x))) (log (* (fma 1/3 (* x x) 2) x)))
206.0ms
(* (* (* (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x)) (* (fma 1/3 (* x x) 2) x)) (* (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x)) (* (fma 1/3 (* x x) 2) x))) (* (* (* (fma 1/3 (* x x) 2) x) (* (fma 1/3 (* x x) 2) x)) (* (fma 1/3 (* x x) 2) x)))

prune573.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

0% (0.6b remaining)

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

bsearch2.0ms

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.0s3397×body1280valid
1.4s2525×body640valid
517.0ms8133×body80valid
253.0ms1167×body320valid
87.0ms638×body160valid