Details

Time bar (total: 15.6s)

sample370.0ms

Algorithm
intervals
Results
179.0ms204×body10240exit
43.0ms414×body80nan
27.0ms239×body80valid
6.0ms23×body160valid

simplify297.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
296.0ms
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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
17.0ms
(sqrt (+ (exp x) 1))
17.0ms
(+ (exp x) 1)

series68.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
51.0ms
(sqrt (+ (exp x) 1))
17.0ms
(+ (exp x) 1)

simplify838.0ms

Counts
20 → 45
Calls
20 calls:
Slowest
452.0ms
(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
122.0ms
(sqrt (+ (pow (exp x) 3) (pow 1 3)))
74.0ms
(sqrt (- (* (exp x) (exp x)) (* 1 1)))
64.0ms
(+ x (+ (* 1/2 (pow x 2)) 2))
18.0ms
(* (exp (exp x)) (exp 1))

prune395.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite3.0ms

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
2.0ms
(sqrt (exp x))
0.0ms
(hypot (sqrt (exp x)) 1)

series103.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
89.0ms
(hypot (sqrt (exp x)) 1)
14.0ms
(sqrt (exp x))

simplify557.0ms

Counts
14 → 36
Calls
14 calls:
Slowest
380.0ms
(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
86.0ms
(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
26.0ms
(exp (* (cbrt x) (cbrt x)))
16.0ms
(sqrt (+ (exp x) 1))
15.0ms
(sqrt (+ (exp x) 1))

prune302.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(log (+ (exp x) 1))
0.1b
(exp (log (+ (exp x) 1)))
0.0b
(+ (exp x) 1)
0.0b
(sqrt (exp (log (+ (exp x) 1))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
13×add-sqr-sqrt log-prod
11×add-cube-cbrt
9×exp-sum
8×pow1 exp-prod
7×sqrt-prod
6×log-div add-log-exp
5×sqrt-pow1 add-exp-log
4×expm1-log1p-u flip3-+ add-cbrt-cube exp-diff flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
3×fma-def log-pow
2×rem-sqrt-square sqrt-div
1×+-commutative sum-log pow1/2 rem-log-exp rem-exp-log
Counts
4 → 84
Calls
4 calls:
Slowest
11.0ms
(sqrt (exp (log (+ (exp x) 1))))
7.0ms
(+ (exp x) 1)
7.0ms
(exp (log (+ (exp x) 1)))
6.0ms
(log (+ (exp x) 1))

series166.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
86.0ms
(log (+ (exp x) 1))
49.0ms
(sqrt (exp (log (+ (exp x) 1))))
15.0ms
(exp (log (+ (exp x) 1)))
15.0ms
(+ (exp x) 1)

simplify2.5s

Counts
50 → 96
Calls
50 calls:
Slowest
831.0ms
(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
201.0ms
(sqrt (exp (log (+ (pow (exp x) 3) (pow 1 3)))))
189.0ms
(exp (log (+ (pow (exp x) 3) (pow 1 3))))
125.0ms
(log (+ (pow (exp x) 3) (pow 1 3)))
119.0ms
(exp (* (cbrt (log (+ (exp x) 1))) (cbrt (log (+ (exp x) 1)))))

prune883.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch1.0ms

end0.0ms

sample8.9s

Algorithm
intervals
Results
5.9s6555×body10240exit
1.4s12821×body80nan
1.1s7424×body80valid
151.0ms700×body160valid