Details

Time bar (total: 5.5m)

sample63.0ms

Algorithm
intervals
Results
19.0ms43×body1280valid
15.0ms51×body640valid
10.0ms20×body320valid
9.0ms134×body80valid
1.0ms8×body160valid

simplify98.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
98.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize14.0ms

Local error

Found 1 expressions with local error:

2.5b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
62×add-sqr-sqrt
54×prod-diff
51×times-frac add-cube-cbrt
18×fma-neg
12×distribute-lft-out
8×associate-/r/
4×flip3-+ add-exp-log flip-+ div-inv difference-of-squares
3×add-log-exp
2×expm1-def difference-of-sqr-1
1×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log div-exp insert-posit16 log1p-expm1-u flip-- distribute-lft-out--
Counts
1 → 96
Calls
1 calls:
Slowest
56.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series80.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
80.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify17.1s

Counts
141 → 99
Calls
141 calls:
Slowest
504.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
388.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
370.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* (sqrt 1) (sqrt 1))))
327.0ms
(fma (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (/ (cbrt 2) (cbrt (+ 1 (exp (* -2 x))))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
320.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* 1 1)))

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

2.5b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
62×add-sqr-sqrt
54×prod-diff
51×times-frac add-cube-cbrt
18×fma-neg
12×distribute-lft-out
8×associate-/r/
4×flip3-+ add-exp-log flip-+ div-inv difference-of-squares
3×add-log-exp
2×expm1-def difference-of-sqr-1
1×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log div-exp insert-posit16 log1p-expm1-u flip-- distribute-lft-out--
Counts
1 → 96
Calls
1 calls:
Slowest
88.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series76.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
76.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify17.0s

Counts
141 → 99
Calls
141 calls:
Slowest
723.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* 1 1)))
543.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
369.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
352.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* (sqrt 1) (sqrt 1))))
340.0ms
(fma (/ (* (cbrt 2) (cbrt 2)) 1) (/ (cbrt 2) (+ 1 (exp (* -2 x)))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))

prune913.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

2.5b
(- (pow (/ 2 (+ 1 (exp (* -2 x)))) 3) (pow 1 3))
0.0b
(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
0.0b
(+ (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (+ (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1)))
0.0b
(pow (/ 2 (+ 1 (exp (* -2 x)))) 3)

rewrite371.0ms

Algorithm
rewrite-expression-head
Rules
637×*-un-lft-identity
504×prod-diff
476×add-sqr-sqrt
412×times-frac
406×unpow-prod-down cube-prod
404×add-cube-cbrt
102×distribute-lft-out
68×sqr-pow
64×associate-/r/
57×cube-mult
56×unpow3
42×fma-neg
36×flip3-+ flip-+ difference-of-squares
32×div-inv
24×swap-sqr
19×add-cbrt-cube add-exp-log
18×associate-*r* associate-*l*
12×pow1
11×add-log-exp
6×frac-add distribute-lft-out--
5×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u unswap-sqr
3×frac-times pow-unpow sum-log associate-*l/ associate-*r/
2×pow-exp rem-cube-cbrt
1×cube-div pow2 pow-to-exp difference-cubes +-commutative associate-+r+ sub-neg pow-pow fma-def pow-plus flip3-- diff-log pow-prod-down pow-sqr *-commutative pow-prod-up flip--
Counts
4 → 777
Calls
4 calls:
Slowest
167.0ms
(- (pow (/ 2 (+ 1 (exp (* -2 x)))) 3) (pow 1 3))
92.0ms
(+ (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (+ (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1)))
79.0ms
(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
14.0ms
(pow (/ 2 (+ 1 (exp (* -2 x)))) 3)

series266.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
90.0ms
(- (pow (/ 2 (+ 1 (exp (* -2 x)))) 3) (pow 1 3))
79.0ms
(+ (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (+ (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1)))
58.0ms
(pow (/ 2 (+ 1 (exp (* -2 x)))) 3)
39.0ms
(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))

simplify4.7m

Counts
1314 → 789
Calls
1314 calls:
Slowest
1.3s
(fma (pow (/ (sqrt 2) (sqrt (+ 1 (exp (* -2 x))))) 3) (pow (/ (sqrt 2) (sqrt (+ 1 (exp (* -2 x))))) 3) (- (* (pow 1 3) (pow 1 3))))
991.0ms
(pow (/ 1 (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) 3)
981.0ms
(fma (pow (/ 1 (sqrt (+ 1 (exp (* -2 x))))) 3) (pow (/ 2 (sqrt (+ 1 (exp (* -2 x))))) 3) (- (* (pow (sqrt 1) 3) (pow (sqrt 1) 3))))
981.0ms
(fma (pow (/ (sqrt 2) 1) 3) (pow (/ (sqrt 2) (+ 1 (exp (* -2 x)))) 3) (- (* (pow 1 3) (pow 1 3))))
905.0ms
(* (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))))

prune9.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

16.5b
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.4b
(* x -1/3)
0.0b
(fma 2/15 (pow x 5) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×fma-udef
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 43
Calls
3 calls:
Slowest
10.0ms
(* x -1/3)
1.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.0ms
(fma 2/15 (pow x 5) x)

series305.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
213.0ms
(fma 2/15 (pow x 5) x)
71.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
21.0ms
(* x -1/3)

simplify1.1s

Counts
18 → 52
Calls
18 calls:
Slowest
181.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
180.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
178.0ms
(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
160.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
132.0ms
(+ x (* 2/15 (pow x 5)))

prune441.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes388.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.4b

bsearch229.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s1654×body1280valid
791.0ms4083×body80valid
639.0ms1302×body640valid
252.0ms627×body320valid
93.0ms334×body160valid