Details

Time bar (total: 18.6s)

sample718.0ms

Algorithm
intervals
Results
322.0ms241×body10240exit
232.0ms423×body80nan
31.0ms234×body80valid
7.0ms26×body160valid

simplify1.5s

Counts
1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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
14.0ms
(+ (exp x) 1)
11.0ms
(sqrt (+ (exp x) 1))

series69.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
55.0ms
(sqrt (+ (exp x) 1))
14.0ms
(+ (exp x) 1)

simplify1.0s

Counts
45 → 45

prune395.0ms

Pruning

4 alts after pruning (3 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))

rewrite5.0ms

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
4.0ms
(sqrt (exp x))
0.0ms
(hypot (sqrt (exp x)) 1)

series113.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
100.0ms
(hypot (sqrt (exp x)) 1)
13.0ms
(sqrt (exp x))

simplify660.0ms

Counts
37 → 36

prune268.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (expm1 (+ x x)) (expm1 x))
0.0b
(sqrt (/ (expm1 (+ x x)) (expm1 x)))
0.0b
(expm1 x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×times-frac
18×*-un-lft-identity add-cube-cbrt
13×sqrt-prod
5×add-cbrt-cube add-exp-log
4×pow1 log1p-expm1-u
3×expm1-log1p-u associate-/r* insert-posit16 associate-/l* add-log-exp
2×rem-sqrt-square div-inv expm1-udef
1×cbrt-undiv expm1-log1p clear-num frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp
Counts
3 → 71
Calls
3 calls:
Slowest
4.0ms
(/ (expm1 (+ x x)) (expm1 x))
2.0ms
(sqrt (/ (expm1 (+ x x)) (expm1 x)))
0.0ms
(expm1 x)

series226.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
134.0ms
(sqrt (/ (expm1 (+ x x)) (expm1 x)))
62.0ms
(/ (expm1 (+ x x)) (expm1 x))
29.0ms
(expm1 x)

simplify589.0ms

Counts
101 → 80

prune751.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(log (exp (sqrt (exp x))))
0.0b
(hypot (log (exp (sqrt (exp x)))) 1)
0.0b
(exp (sqrt (exp x)))
0.0b
(sqrt (exp x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×exp-prod
12×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×sqrt-prod
7×log-pow
6×pow1
5×add-log-exp
4×expm1-log1p-u sqrt-pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×log-prod
1×rem-sqrt-square hypot-udef pow1/2 rem-log-exp rem-exp-log
Counts
4 → 68
Calls
4 calls:
Slowest
8.0ms
(log (exp (sqrt (exp x))))
8.0ms
(exp (sqrt (exp x)))
4.0ms
(sqrt (exp x))
0.0ms
(hypot (log (exp (sqrt (exp x)))) 1)

series220.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
130.0ms
(hypot (log (exp (sqrt (exp x)))) 1)
43.0ms
(exp (sqrt (exp x)))
25.0ms
(sqrt (exp x))
21.0ms
(log (exp (sqrt (exp x))))

simplify1.3s

Counts
82 → 80

prune805.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes54.0ms

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
5.8s6855×body10240exit
2.5s12828×body80nan
846.0ms7452×body80valid
172.0ms674×body160valid