Details

Time bar (total: 2.3m)

sample75.0ms

Algorithm
intervals
Results
26.0ms59×body1280valid
15.0ms39×body640valid
8.0ms123×body80valid
7.0ms28×body320valid
6.0ms7×body160valid

simplify163.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
163.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize14.0ms

Local error

Found 3 expressions with local error:

3.2b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
74×add-sqr-sqrt
63×times-frac add-cube-cbrt
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
8×add-exp-log
7×add-log-exp
6×flip3-+ flip-+
5×add-cbrt-cube div-inv
4×associate-/r* difference-of-squares
3×expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u associate-/l*
2×expm1-def difference-of-sqr-1 div-exp
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out--
Counts
3 → 150
Calls
3 calls:
Slowest
102.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
11.0ms
(/ 2 (+ 1 (exp (* -2 x))))
6.0ms
(+ 1 (exp (* -2 x)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
80.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
36.0ms
(/ 2 (+ 1 (exp (* -2 x))))
17.0ms
(+ 1 (exp (* -2 x)))

simplify22.3s

Counts
185 → 159
Calls
185 calls:
Slowest
612.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
411.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
364.0ms
(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
356.0ms
(fma (/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x))))) (- 1 (exp (* -2 x))) (- (* 1 1)))
355.0ms
(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)))))

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

11.7b
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.3b
(* x -1/3)
0.0b
(fma 2/15 (pow x 5) x)

rewrite13.0ms

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
11.0ms
(* 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)

series307.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
177.0ms
(fma 2/15 (pow x 5) x)
103.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
26.0ms
(* x -1/3)

simplify1.1s

Counts
18 → 52
Calls
18 calls:
Slowest
216.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
174.0ms
(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
172.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
152.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
128.0ms
(+ x (* 2/15 (pow x 5)))

prune624.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

3.2b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
3.2b
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
168×*-un-lft-identity
130×add-sqr-sqrt
108×prod-diff add-cube-cbrt
102×times-frac
59×log-prod
56×exp-sum
26×distribute-lft-out
18×fma-neg
16×associate-/r/
11×log-pow
10×exp-prod
9×flip3-+ add-exp-log flip-+
8×div-inv add-log-exp difference-of-squares
6×add-cbrt-cube
5×pow1
4×expm1-log1p-u associate-/r* difference-of-sqr-1 insert-posit16 log1p-expm1-u
3×fma-def associate-/l*
2×expm1-def sub-neg div-exp distribute-lft-out--
1×cbrt-undiv +-commutative log-div clear-num sum-log frac-2neg flip3-- exp-diff diff-log rem-log-exp flip--
Counts
4 → 232
Calls
4 calls:
Slowest
156.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
96.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
18.0ms
(/ 2 (+ 1 (exp (* -2 x))))
6.0ms
(+ 1 (exp (* -2 x)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
96.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
76.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
27.0ms
(/ 2 (+ 1 (exp (* -2 x))))
12.0ms
(+ 1 (exp (* -2 x)))

simplify42.5s

Counts
259 → 244
Calls
259 calls:
Slowest
633.0ms
(fma (/ (sqrt 2) (sqrt (+ 1 (exp (* -2 x))))) (/ (sqrt 2) (sqrt (+ 1 (exp (* -2 x))))) (- (* (sqrt 1) (sqrt 1))))
578.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
542.0ms
(log (exp (fma (/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x))))) (- 1 (exp (* -2 x))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))))
509.0ms
(log (exp (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)))))))
465.0ms
(log (exp (fma (/ (* (cbrt 2) (cbrt 2)) 1) (/ (cbrt 2) (+ 1 (exp (* -2 x)))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))))

prune2.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

3.2b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
3.2b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
3.2b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
2.8b
(log (exp (* (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
239×*-un-lft-identity
188×add-sqr-sqrt
162×prod-diff
155×add-cube-cbrt
153×times-frac
54×fma-neg
36×distribute-lft-out
24×associate-/r/
13×add-exp-log
12×flip3-+ flip-+ div-inv difference-of-squares
11×add-log-exp
6×expm1-def difference-of-sqr-1
5×pow1
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u
3×log-prod sub-neg flip3-- diff-log div-exp log-pow flip-- distribute-lft-out--
1×exp-prod exp-to-pow rem-log-exp
Counts
4 → 305
Calls
4 calls:
Slowest
90.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
80.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
60.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
3.0ms
(log (exp (* (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))))

series540.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
235.0ms
(log (exp (* (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))))
104.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
103.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
98.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify54.6s

Counts
432 → 317
Calls
432 calls:
Slowest
593.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
591.0ms
(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)))))
554.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
537.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
407.0ms
(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)))))

prune4.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes458.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.0b

bsearch161.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s1728×body1280valid
838.0ms4072×body80valid
604.0ms1268×body640valid
205.0ms651×body320valid
50.0ms281×body160valid