Details

Time bar (total: 51.0s)

sample81.0ms

Algorithm
intervals
Results
41.0ms63×body1280valid
14.0ms45×body640valid
9.0ms129×body80valid
4.0ms11×body320valid
1.0ms8×body160valid

simplify129.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
128.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize28.0ms

Local error

Found 3 expressions with local error:

1.9b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite126.0ms

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)
23.0ms
(/ 2 (+ 1 (exp (* -2 x))))
12.0ms
(+ 1 (exp (* -2 x)))

series140.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
92.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
28.0ms
(/ 2 (+ 1 (exp (* -2 x))))
20.0ms
(+ 1 (exp (* -2 x)))

simplify20.8s

Counts
185 → 159
Calls
185 calls:
Slowest
484.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
403.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
325.0ms
(fma (/ (* (cbrt 2) (cbrt 2)) 1) (/ (cbrt 2) (+ 1 (exp (* -2 x)))) (- (* 1 1)))
322.0ms
(fma (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (/ (cbrt 2) (cbrt (+ 1 (exp (* -2 x))))) (- (* 1 1)))
317.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* 1 1)))

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

1.9b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite161.0ms

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
120.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
24.0ms
(/ 2 (+ 1 (exp (* -2 x))))
12.0ms
(+ 1 (exp (* -2 x)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
75.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
27.0ms
(/ 2 (+ 1 (exp (* -2 x))))
11.0ms
(+ 1 (exp (* -2 x)))

simplify21.4s

Counts
185 → 159
Calls
185 calls:
Slowest
555.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
551.0ms
(fma (* (cbrt (/ 2 (+ 1 (exp (* -2 x))))) (cbrt (/ 2 (+ 1 (exp (* -2 x)))))) (cbrt (/ 2 (+ 1 (exp (* -2 x))))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
367.0ms
(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)))))
339.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* 1 1)))
335.0ms
(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

15.8b
(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)

rewrite7.0ms

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
6.0ms
(* x -1/3)
0.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.0ms
(fma 2/15 (pow x 5) x)

series269.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
167.0ms
(fma 2/15 (pow x 5) x)
87.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
15.0ms
(* x -1/3)

simplify981.0ms

Counts
18 → 52
Calls
18 calls:
Slowest
183.0ms
(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
144.0ms
(+ x (* 2/15 (pow x 5)))
143.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
136.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
128.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune485.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes349.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.0b

bsearch176.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s1737×body1280valid
560.0ms1194×body640valid
398.0ms4142×body80valid
243.0ms626×body320valid
54.0ms301×body160valid