Details

Time bar (total: 28.2s)

sample118.0ms

Algorithm
intervals
Results
43.0ms102×body1280valid
38.0ms79×body640valid
16.0ms301×body80valid
9.0ms48×body320valid
2.0ms17×body160valid

simplify72.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
72.0ms
(/ (- (exp x) (exp (- x))) 2)

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize33.0ms

Local error

Found 1 expressions with local error:

5.3b
(- (exp x) (exp (- x)))

rewrite23.0ms

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
Counts
1 → 29
Calls
1 calls:
Slowest
23.0ms
(- (exp x) (exp (- x)))

series42.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
42.0ms
(- (exp x) (exp (- x)))

simplify2.6s

Counts
27 → 32
Calls
27 calls:
Slowest
319.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
258.0ms
(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
233.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
229.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
194.0ms
(fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))

prune270.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite7.0ms

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
Counts
2 → 34
Calls
2 calls:
Slowest
6.0ms
(* x (fma 1/3 (* x x) 2))
0.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

series259.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
152.0ms
(* x (fma 1/3 (* x x) 2))
108.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

simplify2.3s

Counts
18 → 40
Calls
18 calls:
Slowest
703.0ms
(* (* (* x x) x) (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
322.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
297.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
275.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
164.0ms
(+ (* 2 x) (* 1/3 (pow x 3)))

prune420.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt
6×*-un-lft-identity add-cube-cbrt add-log-exp
4×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u
2×*-commutative
1×+-commutative sum-log fma-def flip3-+ distribute-rgt-out flip-+ fma-udef unswap-sqr
Counts
4 → 73
Calls
4 calls:
Slowest
52.0ms
(* (* 1/3 (* x x)) x)
46.0ms
(+ (* (* 1/3 (* x x)) x) (* 2 x))
18.0ms
(* 1/3 (* x x))
0.0ms
(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))

series311.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
135.0ms
(+ (* (* 1/3 (* x x)) x) (* 2 x))
77.0ms
(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))
59.0ms
(* (* 1/3 (* x x)) x)
39.0ms
(* 1/3 (* x x))

simplify4.5s

Counts
36 → 85
Calls
36 calls:
Slowest
947.0ms
(* (* (* (* 1/3 1/3) 1/3) (* (* (* x x) x) (* (* x x) x))) (* (* x x) x))
623.0ms
(* (* (* (* 1/3 (* x x)) (* 1/3 (* x x))) (* 1/3 (* x x))) (* (* x x) x))
350.0ms
(* (exp (* (* 1/3 (* x x)) x)) (exp (* 2 x)))
345.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
325.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))

prune881.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

5.3b
(- (exp x) (exp (- x)))
5.3b
(- (exp x) (exp (- x)))
5.3b
(- (exp x) (exp (- x)))
0.1b
(cbrt (- (exp x) (exp (- x))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt *-un-lft-identity
27×prod-diff
26×add-cube-cbrt
10×add-log-exp
9×fma-neg
5×cbrt-prod
4×expm1-log1p-u pow1 flip3-- add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
3×sub-neg diff-log
2×cbrt-div
1×pow1/3
Counts
4 → 105
Calls
4 calls:
Slowest
28.0ms
(- (exp x) (exp (- x)))
13.0ms
(- (exp x) (exp (- x)))
13.0ms
(- (exp x) (exp (- x)))
7.0ms
(cbrt (- (exp x) (exp (- x))))

series358.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
223.0ms
(cbrt (- (exp x) (exp (- x))))
48.0ms
(- (exp x) (exp (- x)))
44.0ms
(- (exp x) (exp (- x)))
42.0ms
(- (exp x) (exp (- x)))

simplify9.2s

Counts
91 → 117
Calls
91 calls:
Slowest
624.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
392.0ms
(pow (- (exp x) (exp (* -1 x))) 1/3)
390.0ms
(- (+ (exp (* 1/3 (+ (log 2) (log x)))) (* 1/18 (* (pow x 2) (exp (* 1/3 (+ (log 2) (log x))))))) (* 1/3240 (* (pow x 4) (exp (* 1/3 (+ (log 2) (log x)))))))
347.0ms
(cbrt (- (pow (exp x) 3) (pow (exp (- x)) 3)))
332.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes113.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch3.0ms

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.3s3466×body1280valid
1.2s2479×body640valid
1.1s8151×body80valid
379.0ms1194×body320valid
100.0ms600×body160valid