Details

Time bar (total: 24.9s)

sample146.0ms

Algorithm
intervals
Results
60.0ms102×body1280valid
46.0ms81×body640valid
16.0ms255×body80valid
9.0ms42×body320valid
3.0ms17×body160valid

simplify67.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
67.0ms
(/ (- (exp x) (exp (- x))) 2)

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.0b

localize32.0ms

Local error

Found 1 expressions with local error:

5.7b
(- (exp x) (exp (- x)))

rewrite27.0ms

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
27.0ms
(- (exp x) (exp (- x)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
49.0ms
(- (exp x) (exp (- x)))

simplify2.3s

Counts
27 → 32
Calls
27 calls:
Slowest
271.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
256.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
236.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
190.0ms
(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
159.0ms
(fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))

prune342.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 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)))
0.0b
(fma 1/3 (* x x) 2)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×fma-udef
3×expm1-log1p-u associate-*r* associate-*l* 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
3 → 45
Calls
3 calls:
Slowest
7.0ms
(* x (fma 1/3 (* x x) 2))
0.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))
0.0ms
(fma 1/3 (* x x) 2)

series308.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
123.0ms
(* x (fma 1/3 (* x x) 2))
99.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))
86.0ms
(fma 1/3 (* x x) 2)

simplify2.8s

Counts
21 → 54
Calls
21 calls:
Slowest
1.2s
(* (* (* x x) x) (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
319.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
281.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
273.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
186.0ms
(+ (* 2 x) (* 1/3 (pow x 3)))

prune614.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 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)))
0.0b
(+ (* x (* 1/3 (* x x))) (* x 2))

rewrite146.0ms

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 associate-*l* add-cube-cbrt add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
2×associate-*r* *-commutative
1×+-commutative sum-log fma-def flip3-+ flip-+ fma-udef distribute-lft-out unswap-sqr
Counts
4 → 73
Calls
4 calls:
Slowest
69.0ms
(+ (* x (* 1/3 (* x x))) (* x 2))
56.0ms
(* x (* 1/3 (* x x)))
18.0ms
(* 1/3 (* x x))
0.0ms
(fma 1/60 (pow x 5) (+ (* x (* 1/3 (* x x))) (* x 2)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
135.0ms
(+ (* x (* 1/3 (* x x))) (* x 2))
81.0ms
(fma 1/60 (pow x 5) (+ (* x (* 1/3 (* x x))) (* x 2)))
68.0ms
(* x (* 1/3 (* x x)))
46.0ms
(* 1/3 (* x x))

simplify4.3s

Counts
36 → 85
Calls
36 calls:
Slowest
579.0ms
(* (* (* x x) x) (* (* (* 1/3 (* x x)) (* 1/3 (* x x))) (* 1/3 (* x x))))
544.0ms
(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* (* x x) (* x x)) (* x x))))
440.0ms
(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* (* x x) x) (* (* x x) x))))
337.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
335.0ms
(* (exp (* x (* 1/3 (* x x)))) (exp (* x 2)))

prune921.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×pow1
10×*-un-lft-identity add-cube-cbrt
8×add-exp-log
7×add-cbrt-cube associate-*r*
6×associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×swap-sqr fma-udef
2×cbrt-prod pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow1/3 pow3 pow-sqr pow-prod-up rem-cbrt-cube
Counts
4 → 76
Calls
4 calls:
Slowest
28.0ms
(* x (cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2))))
18.0ms
(cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
11.0ms
(* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2))
0.0ms
(fma 1/60 (pow x 5) (* x (cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))))

series398.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
141.0ms
(* x (cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2))))
105.0ms
(fma 1/60 (pow x 5) (* x (cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))))
97.0ms
(cbrt (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
54.0ms
(* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2))

simplify5.8s

Counts
47 → 88
Calls
47 calls:
Slowest
848.0ms
(* (* (* x x) x) (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
575.0ms
(* (* (* (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)))
390.0ms
(cbrt (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)))
345.0ms
(+ (* 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))))

prune965.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes41.0ms

Accuracy

0% (0.7b remaining)

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

bsearch4.0ms

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.7s3391×body1280valid
1.1s2548×body640valid
618.0ms8084×body80valid
454.0ms1220×body320valid
98.0ms569×body160valid