Details

Time bar (total: 52.0s)

sample91.0ms

Algorithm
intervals
Results
37.0ms55×body1280valid
19.0ms39×body640valid
13.0ms132×body80valid
6.0ms19×body320valid
2.0ms11×body160valid

simplify155.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
155.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize21.0ms

Local error

Found 3 expressions with local error:

3.0b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite108.0ms

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
72.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
20.0ms
(/ 2 (+ 1 (exp (* -2 x))))
11.0ms
(+ 1 (exp (* -2 x)))

series121.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
79.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
23.0ms
(/ 2 (+ 1 (exp (* -2 x))))
19.0ms
(+ 1 (exp (* -2 x)))

simplify22.1s

Counts
185 → 159
Calls
185 calls:
Slowest
587.0ms
(fma (/ (sqrt 2) (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (/ (sqrt 2) (cbrt (+ 1 (exp (* -2 x))))) (- (* 1 1)))
538.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
376.0ms
(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
372.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
336.0ms
(fma (/ (* (cbrt 2) (cbrt 2)) 1) (/ (cbrt 2) (+ 1 (exp (* -2 x)))) (- (* 1 1)))

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

3.0b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite114.0ms

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
86.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
20.0ms
(/ 2 (+ 1 (exp (* -2 x))))
6.0ms
(+ 1 (exp (* -2 x)))

series133.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
78.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
36.0ms
(/ 2 (+ 1 (exp (* -2 x))))
19.0ms
(+ 1 (exp (* -2 x)))

simplify21.8s

Counts
185 → 159
Calls
185 calls:
Slowest
541.0ms
(/ (sqrt 2) (sqrt (+ 1 (exp (* -2 x)))))
536.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
449.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (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)))))
354.0ms
(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 (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

13.0b
(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)

series274.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
168.0ms
(fma 2/15 (pow x 5) x)
88.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
17.0ms
(* x -1/3)

simplify1.0s

Counts
18 → 52
Calls
18 calls:
Slowest
176.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
173.0ms
(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
156.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
153.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
126.0ms
(+ x (* 2/15 (pow x 5)))

prune439.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes229.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.7b

bsearch161.0ms

end0.0ms

sample2.4s

Algorithm
intervals
Results
962.0ms1718×body1280valid
623.0ms1300×body640valid
429.0ms4046×body80valid
222.0ms609×body320valid
57.0ms327×body160valid