Details

Time bar (total: 12.9s)

sample728.0ms

Algorithm
intervals
Results
460.0ms369×body80nan
110.0ms202×body10240exit
21.0ms240×body80valid
3.0ms18×body160valid

simplify394.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
393.0ms
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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
16.0ms
(+ (exp x) 1)
10.0ms
(sqrt (+ (exp x) 1))

series72.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
47.0ms
(sqrt (+ (exp x) 1))
24.0ms
(+ (exp x) 1)

simplify838.0ms

Counts
20 → 45
Calls
20 calls:
Slowest
429.0ms
(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
102.0ms
(sqrt (- (* (exp x) (exp x)) (* 1 1)))
93.0ms
(sqrt (+ (pow (exp x) 3) (pow 1 3)))
60.0ms
(+ x (+ (* 1/2 (pow x 2)) 2))
20.0ms
(+ (exp x) 1)

prune309.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

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
6.0ms
(sqrt (exp x))
0.0ms
(hypot (sqrt (exp x)) 1)

series105.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
81.0ms
(hypot (sqrt (exp x)) 1)
23.0ms
(sqrt (exp x))

simplify551.0ms

Counts
14 → 36
Calls
14 calls:
Slowest
392.0ms
(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
91.0ms
(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
17.0ms
(exp (* (cbrt x) (cbrt x)))
8.0ms
(sqrt (+ (exp x) 1))
8.0ms
(sqrt (+ (exp x) 1))

prune338.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample9.5s

Algorithm
intervals
Results
5.8s6857×body10240exit
1.9s12854×body80nan
1.3s7461×body80valid
166.0ms656×body160valid