Details

Time bar (total: 53.6s)

sample65.0ms

Algorithm
intervals
Results
21.0ms49×body640valid
19.0ms44×body1280valid
8.0ms123×body80valid
5.0ms25×body320valid
2.0ms15×body160valid

simplify140.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
139.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize14.0ms

Local error

Found 3 expressions with local error:

3.7b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite132.0ms

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
93.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
22.0ms
(/ 2 (+ 1 (exp (* -2 x))))
12.0ms
(+ 1 (exp (* -2 x)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
75.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
35.0ms
(/ 2 (+ 1 (exp (* -2 x))))
18.0ms
(+ 1 (exp (* -2 x)))

simplify22.2s

Counts
185 → 159
Calls
185 calls:
Slowest
516.0ms
(/ (sqrt 2) (sqrt (+ 1 (exp (* -2 x)))))
488.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
383.0ms
(fma (/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x))))) (- 1 (exp (* -2 x))) (- (* (sqrt 1) (sqrt 1))))
379.0ms
(fma (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (/ (cbrt 2) (cbrt (+ 1 (exp (* -2 x))))) (- (* (sqrt 1) (sqrt 1))))
377.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

12.2b
(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)

rewrite11.0ms

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

series257.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
166.0ms
(fma 2/15 (pow x 5) x)
71.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
19.0ms
(* x -1/3)

simplify1.1s

Counts
18 → 52
Calls
18 calls:
Slowest
173.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
171.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
164.0ms
(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
163.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
148.0ms
(+ x (* 2/15 (pow x 5)))

prune550.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

3.7b
(- (/ 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
97.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
17.0ms
(/ 2 (+ 1 (exp (* -2 x))))
6.0ms
(+ 1 (exp (* -2 x)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
84.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
32.0ms
(/ 2 (+ 1 (exp (* -2 x))))
11.0ms
(+ 1 (exp (* -2 x)))

simplify22.1s

Counts
185 → 159
Calls
185 calls:
Slowest
583.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
408.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
396.0ms
(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))))
366.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* 1 1)))
347.0ms
(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)))))

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes278.0ms

Accuracy

100% (0.0b remaining)

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

bsearch142.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.5s1687×body1280valid
610.0ms1254×body640valid
389.0ms4087×body80valid
180.0ms654×body320valid
85.0ms318×body160valid