Details

Time bar (total: 19.4s)

sample178.0ms

Algorithm
intervals
Results
75.0ms98×body1280valid
42.0ms82×body640valid
24.0ms276×body80valid
15.0ms42×body320valid
5.0ms22×body160valid

simplify113.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
113.0ms
(/ (- (exp x) (exp (- x))) 2)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize12.0ms

Local error

Found 1 expressions with local error:

5.9b
(- (exp x) (exp (- x)))

rewrite17.0ms

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
16.0ms
(- (exp x) (exp (- x)))

series67.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
67.0ms
(- (exp x) (exp (- x)))

simplify2.2s

Counts
27 → 32
Calls
27 calls:
Slowest
300.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
225.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
209.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
164.0ms
(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
156.0ms
(fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))

prune298.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite13.0ms

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
12.0ms
(* x (fma 1/3 (* x x) 2))
0.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

series216.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
141.0ms
(* x (fma 1/3 (* x x) 2))
75.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

simplify2.7s

Counts
18 → 40
Calls
18 calls:
Slowest
821.0ms
(* (* (* x x) x) (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
640.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
319.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
304.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
174.0ms
(+ (* 2 x) (* 1/3 (pow x 3)))

prune414.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt
5×*-un-lft-identity add-cube-cbrt
4×associate-*r* associate-*l*
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×*-commutative
1×fma-udef unswap-sqr
Counts
3 → 57
Calls
3 calls:
Slowest
64.0ms
(* (* 1/3 (* x x)) x)
14.0ms
(* 1/3 (* x x))
0.0ms
(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
94.0ms
(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))
57.0ms
(* (* 1/3 (* x x)) x)
35.0ms
(* 1/3 (* x x))

simplify3.5s

Counts
30 → 66
Calls
30 calls:
Slowest
872.0ms
(* (* (* (* 1/3 1/3) 1/3) (* (* (* x x) x) (* (* x x) x))) (* (* x x) x))
513.0ms
(* (* (* (* 1/3 (* x x)) (* 1/3 (* x x))) (* 1/3 (* x x))) (* (* x x) x))
329.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
315.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
308.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))

prune579.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
0.5b
(* (cbrt x) (cbrt x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
Slowest
8.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
319.0ms
(cbrt x)
314.0ms
(* (cbrt x) (cbrt x))
270.0ms
(cbrt x)
241.0ms
(cbrt x)

simplify978.0ms

Counts
63 → 97
Calls
63 calls:
Slowest
160.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
144.0ms
(* (pow (pow x 2) 1/3) (pow (cbrt -1) 2))
137.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
126.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
63.0ms
(* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x))))

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch3.0ms

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.6s3397×body1280valid
1.2s2432×body640valid
820.0ms8234×body80valid
331.0ms1246×body320valid
160.0ms635×body160valid