Details

Time bar (total: 20.1s)

sample525.0ms

Algorithm
intervals
Results
304.0ms191×body10240exit
34.0ms336×body80nan
23.0ms234×body80valid
5.0ms24×body160valid

simplify1.5s

Counts
1 → 1

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-sqr-sqrt sqrt-prod add-log-exp
pow1 add-cube-cbrt
flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+ insert-posit16 distribute-lft-out
+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
2 → 30
Calls
2 calls:
Slowest
16.0ms
(+ (exp x) 1)
16.0ms
(sqrt (+ (exp x) 1))

series70.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
43.0ms
(sqrt (+ (exp x) 1))
27.0ms
(+ (exp x) 1)

simplify843.0ms

Counts
36 → 36

prune267.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-sqr-sqrt sqrt-prod add-log-exp
pow1 add-cube-cbrt
flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+ insert-posit16 distribute-lft-out
+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
2 → 30
Calls
2 calls:
Slowest
19.0ms
(sqrt (+ (exp x) 1))
14.0ms
(+ (exp x) 1)

series68.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
53.0ms
(sqrt (+ (exp x) 1))
15.0ms
(+ (exp x) 1)

simplify897.0ms

Counts
36 → 36

prune365.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

4.5b
(- 1 (exp x))
0.1b
(* (exp x) (exp x))
0.1b
(* (exp x) (exp x))
0.1b
(+ (- 1 (exp x)) (* (exp x) (exp x)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
36×exp-prod
31×add-sqr-sqrt
27×*-un-lft-identity
24×add-cube-cbrt
18×pow1
11×add-log-exp
add-cbrt-cube pow-prod-down pow-sqr pow-prod-up
swap-sqr associate-*r* associate-*l*
add-exp-log insert-posit16
pow2 associate-+l+ sum-log sub-neg pow-plus diff-log prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
+-commutative flip3-+ flip3-- associate-+l- flip-+ flip-- distribute-lft-out--
Counts
4 → 102
Calls
4 calls:
Slowest
53.0ms
(+ (- 1 (exp x)) (* (exp x) (exp x)))
21.0ms
(* (exp x) (exp x))
13.0ms
(* (exp x) (exp x))
6.0ms
(- 1 (exp x))

series101.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
40.0ms
(+ (- 1 (exp x)) (* (exp x) (exp x)))
25.0ms
(- 1 (exp x))
21.0ms
(* (exp x) (exp x))
14.0ms
(* (exp x) (exp x))

simplify911.0ms

Counts
114 → 114

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

4.5b
(- 1 (exp x))
0.1b
(* (exp x) (exp x))
0.1b
(+ (- 1 (exp x)) (* (exp x) (exp x)))
0.1b
(* (* (exp x) (sqrt (exp x))) (sqrt (exp x)))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
27×exp-prod
26×add-sqr-sqrt
25×pow1
22×*-un-lft-identity
19×pow-prod-up add-cube-cbrt
11×add-cbrt-cube add-log-exp
10×sqrt-pow1
associate-*r*
add-exp-log
pow-prod-down
pow1/2 associate-*l* prod-exp pow-sqr cbrt-unprod insert-posit16
swap-sqr sqrt-prod
associate-+l+ sum-log sub-neg pow-plus diff-log pow3 *-commutative difference-of-squares
pow2 +-commutative flip3-+ flip3-- associate-+l- flip-+ flip-- distribute-lft-out-- unswap-sqr
Counts
4 → 98
Calls
4 calls:
Slowest
78.0ms
(* (* (exp x) (sqrt (exp x))) (sqrt (exp x)))
67.0ms
(+ (- 1 (exp x)) (* (exp x) (exp x)))
21.0ms
(* (exp x) (exp x))
6.0ms
(- 1 (exp x))

series94.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
38.0ms
(+ (- 1 (exp x)) (* (exp x) (exp x)))
24.0ms
(* (* (exp x) (sqrt (exp x))) (sqrt (exp x)))
17.0ms
(- 1 (exp x))
15.0ms
(* (exp x) (exp x))

simplify1.9s

Counts
110 → 110

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample9.8s

Algorithm
intervals
Results
6.3s6732×body10240exit
1.4s12641×body80nan
1.3s7387×body80valid
238.0ms737×body160valid