Details

Time bar (total: 15.9s)

sample318.0ms

Algorithm
intervals
Results
126.0ms195×body10240exit
27.0ms384×body80nan
21.0ms240×body80valid
3.0ms20×body160valid

simplify256.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
256.0ms
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp x) 1)
0.0b
(sqrt (+ (exp x) 1))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
8×add-sqr-sqrt
4×add-cube-cbrt sqrt-prod add-log-exp
3×pow1 fma-def
2×expm1-log1p-u flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+ hypot-def insert-posit16 log1p-expm1-u distribute-lft-out
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
2 → 39
Calls
2 calls:
Slowest
15.0ms
(+ (exp x) 1)
9.0ms
(sqrt (+ (exp x) 1))

series53.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
33.0ms
(sqrt (+ (exp x) 1))
20.0ms
(+ (exp x) 1)

simplify734.0ms

Counts
20 → 45
Calls
20 calls:
Slowest
373.0ms
(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
84.0ms
(+ x (+ (* 1/2 (pow x 2)) 2))
78.0ms
(sqrt (+ (pow (exp x) 3) (pow 1 3)))
72.0ms
(sqrt (- (* (exp x) (exp x)) (* 1 1)))
14.0ms
(+ (exp x) 1)

prune329.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot (sqrt (exp x)) 1)
0.0b
(sqrt (exp x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×*-un-lft-identity sqrt-pow1 add-cube-cbrt
3×pow1 exp-prod sqrt-prod
2×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
1×rem-sqrt-square hypot-udef pow1/2
Counts
2 → 30
Calls
2 calls:
Slowest
5.0ms
(sqrt (exp x))
1.0ms
(hypot (sqrt (exp x)) 1)

series132.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
108.0ms
(hypot (sqrt (exp x)) 1)
24.0ms
(sqrt (exp x))

simplify534.0ms

Counts
14 → 36
Calls
14 calls:
Slowest
393.0ms
(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
82.0ms
(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
19.0ms
(exp (* (cbrt x) (cbrt x)))
8.0ms
(sqrt (+ (exp x) 1))
8.0ms
(sqrt (+ (exp x) 1))

prune333.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (exp x)) (cbrt (exp x)))
0.0b
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) 1)
0.0b
(cbrt (exp x))
0.0b
(cbrt (exp x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
11×pow1
8×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 82
Calls
4 calls:
Slowest
22.0ms
(* (cbrt (exp x)) (cbrt (exp x)))
2.0ms
(cbrt (exp x))
2.0ms
(cbrt (exp x))
0.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) 1)

series619.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
278.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) 1)
119.0ms
(cbrt (exp x))
113.0ms
(cbrt (exp x))
109.0ms
(* (cbrt (exp x)) (cbrt (exp x)))

simplify1.6s

Counts
62 → 94
Calls
62 calls:
Slowest
404.0ms
(+ (* (pow (pow (exp x) 2) 1/3) (exp (* 1/3 x))) 1)
394.0ms
(+ (* (pow (pow (exp x) 2) 1/3) (exp (* 1/3 x))) 1)
96.0ms
(+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1))
94.0ms
(+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1))
88.0ms
(+ (* 2/3 x) (+ (* 2/9 (pow x 2)) 1))

prune890.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.9s

Algorithm
intervals
Results
6.4s6805×body10240exit
2.0s12635×body80nan
831.0ms7386×body80valid
162.0ms721×body160valid