Details

Time bar (total: 1.0m)

sample161.0ms

Algorithm
intervals
Results
81.0ms107×body1280valid
35.0ms83×body640valid
18.0ms258×body80valid
11.0ms39×body320valid
3.0ms15×body160valid

simplify55.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
55.0ms
(/ (- (exp x) (exp (- x))) 2)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.3b

localize31.0ms

Local error

Found 1 expressions with local error:

5.0b
(- (exp x) (exp (- x)))

rewrite13.0ms

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
13.0ms
(- (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
359.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
202.0ms
(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
188.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
184.0ms
(fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))
171.0ms
(fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))

prune249.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite8.0ms

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
7.0ms
(* x (fma 1/3 (* x x) 2))
0.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

series180.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
106.0ms
(* x (fma 1/3 (* x x) 2))
74.0ms
(fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))

simplify2.5s

Counts
18 → 40
Calls
18 calls:
Slowest
810.0ms
(* (* (* x x) x) (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
329.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
311.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
283.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
190.0ms
(+ (* 2 x) (* 1/3 (pow x 3)))

prune400.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

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

rewrite111.0ms

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
58.0ms
(* (* 1/3 (* x x)) x)
38.0ms
(+ (* (* 1/3 (* x x)) x) (* 2 x))
13.0ms
(* 1/3 (* x x))
0.0ms
(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
146.0ms
(+ (* (* 1/3 (* x x)) x) (* 2 x))
94.0ms
(fma 1/60 (pow x 5) (+ (* (* 1/3 (* x x)) x) (* 2 x)))
57.0ms
(* (* 1/3 (* x x)) x)
31.0ms
(* 1/3 (* x x))

simplify5.1s

Counts
36 → 85
Calls
36 calls:
Slowest
951.0ms
(* (* (* (* 1/3 1/3) 1/3) (* (* (* x x) x) (* (* x x) x))) (* (* x x) x))
596.0ms
(* (* (* (* 1/3 (* x x)) (* 1/3 (* x x))) (* 1/3 (* x x))) (* (* x x) x))
523.0ms
(* (* (* (* 1/3 1/3) 1/3) (* (* (* x x) (* x x)) (* x x))) (* (* x x) x))
426.0ms
(* (exp (* (* 1/3 (* x x)) x)) (exp (* 2 x)))
379.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))

prune827.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

5.1b
(- (sqrt (exp x)) (sqrt (exp (- x))))
0.0b
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
0.0b
(sqrt (exp x))
0.0b
(sqrt (exp x))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
131×sqrt-prod
108×prod-diff
104×add-sqr-sqrt
96×*-un-lft-identity
84×add-cube-cbrt
38×distribute-rgt-in distribute-lft-in
9×associate-*r*
8×pow1 sqrt-pow1 difference-of-squares
6×exp-prod add-cbrt-cube fma-neg add-exp-log add-log-exp
5×associate-*l*
4×expm1-log1p-u frac-times flip3-- insert-posit16 log1p-expm1-u flip-- distribute-lft-out--
3×sub-neg flip3-+ flip-+
2×rem-sqrt-square pow1/2 associate-*l/ associate-*r/ distribute-lft-out
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 214
Calls
4 calls:
Slowest
126.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
29.0ms
(- (sqrt (exp x)) (sqrt (exp (- x))))
3.0ms
(sqrt (exp x))
2.0ms
(sqrt (exp x))

series286.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
160.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
96.0ms
(- (sqrt (exp x)) (sqrt (exp (- x))))
16.0ms
(sqrt (exp x))
13.0ms
(sqrt (exp x))

simplify42.2s

Counts
222 → 226
Calls
222 calls:
Slowest
1.0s
(* (fma (- (sqrt (sqrt (exp (- x))))) (sqrt (sqrt (exp (- x)))) (* (sqrt (sqrt (exp (- x)))) (sqrt (sqrt (exp (- x)))))) (+ (sqrt (exp x)) (sqrt (exp (- x)))))
746.0ms
(* (fma (- (sqrt (sqrt (exp (- x))))) (sqrt (sqrt (exp (- x)))) (* (sqrt (sqrt (exp (- x)))) (sqrt (sqrt (exp (- x)))))) (+ (sqrt (exp x)) (sqrt (exp (- x)))))
741.0ms
(* (fma (- (sqrt (sqrt (exp (- x))))) (sqrt (sqrt (exp (- x)))) (* (sqrt (sqrt (exp (- x)))) (sqrt (sqrt (exp (- x)))))) (+ (sqrt (exp x)) (sqrt (exp (- x)))))
739.0ms
(* (fma (- (sqrt (sqrt (exp (- x))))) (sqrt (sqrt (exp (- x)))) (* (sqrt (sqrt (exp (- x)))) (sqrt (sqrt (exp (- x)))))) (+ (sqrt (exp x)) (sqrt (exp (- x)))))
738.0ms
(* (fma (- (sqrt (sqrt (exp (- x))))) (sqrt (sqrt (exp (- x)))) (* (sqrt (sqrt (exp (- x)))) (sqrt (sqrt (exp (- x)))))) (+ (sqrt (exp x)) (sqrt (exp (- x)))))

prune2.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.7b remaining)

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

bsearch4.0ms

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.3s3366×body1280valid
1.1s2550×body640valid
838.0ms8062×body80valid
502.0ms598×body160valid
368.0ms1216×body320valid