Details

Time bar (total: 1.2m)

sample86.0ms

Algorithm
intervals
Results
39.0ms53×body1280valid
16.0ms36×body640valid
10.0ms131×body80valid
6.0ms22×body320valid
2.0ms14×body160valid

simplify115.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
114.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize19.0ms

Local error

Found 3 expressions with local error:

3.8b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite99.0ms

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
81.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
10.0ms
(/ 2 (+ 1 (exp (* -2 x))))
5.0ms
(+ 1 (exp (* -2 x)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
73.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
30.0ms
(/ 2 (+ 1 (exp (* -2 x))))
11.0ms
(+ 1 (exp (* -2 x)))

simplify29.0s

Counts
230 → 159
Calls
230 calls:
Slowest
762.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* 1 1)))
686.0ms
(- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x))))
547.0ms
(* (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (/ 2 (+ 1 (exp (* -2 x)))))
538.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
449.0ms
(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))))

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

3.8b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite124.0ms

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
85.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
21.0ms
(/ 2 (+ 1 (exp (* -2 x))))
13.0ms
(+ 1 (exp (* -2 x)))

series125.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
81.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
28.0ms
(/ 2 (+ 1 (exp (* -2 x))))
15.0ms
(+ 1 (exp (* -2 x)))

simplify28.1s

Counts
230 → 159
Calls
230 calls:
Slowest
767.0ms
(- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x))))
584.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
562.0ms
(exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1))
459.0ms
(* (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (/ 2 (+ 1 (exp (* -2 x)))))
450.0ms
(- (pow (/ 2 (+ 1 (exp (* -2 x)))) 3) (pow 1 3))

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

12.8b
(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)

series305.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
183.0ms
(fma 2/15 (pow x 5) x)
99.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
22.0ms
(* x -1/3)

simplify4.3s

Counts
52 → 52
Calls
52 calls:
Slowest
643.0ms
(* (* (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x)) (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))) (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x)))
531.0ms
(* (cbrt (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))) (cbrt (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))))
251.0ms
(* (* (fma 2/15 (pow x 5) x) (fma 2/15 (pow x 5) x)) (fma 2/15 (pow x 5) x))
228.0ms
(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
208.0ms
(* (* (* x -1/3) (* x -1/3)) (* x -1/3))

prune500.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes236.0ms

Accuracy

100% (0.0b remaining)

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

bsearch178.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s1770×body1280valid
571.0ms1223×body640valid
413.0ms4082×body80valid
196.0ms615×body320valid
56.0ms310×body160valid