Details

Time bar (total: 24.8s)

sample655.0ms

Algorithm
intervals
Results
253.0ms199×body10240exit
85.0ms383×body80nan
34.0ms230×body80valid
8.0ms27×body160valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
73147
6794
5285
4108
353
230
124
010

prune19.0ms

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

rewrite37.0ms

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

series66.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(sqrt (+ (exp x) 1))
26.0ms
(+ (exp x) 1)

simplify1.6s

Counts
45 → 45
Iterations
IterNodes
42719
3856
2347
1148
065

prune374.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

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:
0.0ms
(hypot (sqrt (exp x)) 1)
5.0ms
(sqrt (exp x))

series145.0ms

Counts
2 → 6
Calls
2 calls:
123.0ms
(hypot (sqrt (exp x)) 1)
22.0ms
(sqrt (exp x))

simplify4.0s

Counts
36 → 36
Iterations
IterNodes
56234
41852
3571
2218
1104
061

prune352.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot (pow (exp 1) (/ x 2)) 1)
0.0b
(pow (exp 1) (/ x 2))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
13×pow-unpow
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×pow-pow
3×pow1 exp-prod unpow-prod-down
2×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
1×pow-to-exp hypot-udef pow-exp div-inv sqr-pow
Counts
2 → 44
Calls
2 calls:
0.0ms
(hypot (pow (exp 1) (/ x 2)) 1)
5.0ms
(pow (exp 1) (/ x 2))

series137.0ms

Counts
2 → 6
Calls
2 calls:
117.0ms
(hypot (pow (exp 1) (/ x 2)) 1)
20.0ms
(pow (exp 1) (/ x 2))

simplify3.8s

Counts
50 → 50
Iterations
IterNodes
45442
31562
2558
1246
099

prune372.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (exp x))
0.0b
(sqrt (exp (log1p (exp x))))
0.0b
(exp (log1p (exp x)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×exp-prod *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 sqrt-pow1 add-log-exp
3×add-cbrt-cube add-exp-log sqrt-prod insert-posit16 log1p-expm1-u
2×log1p-udef rem-exp-log
1×rem-sqrt-square pow1/2 log1p-expm1
Counts
3 → 46
Calls
3 calls:
0.0ms
(log1p (exp x))
3.0ms
(sqrt (exp (log1p (exp x))))
2.0ms
(exp (log1p (exp x)))

series327.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(log1p (exp x))
145.0ms
(sqrt (exp (log1p (exp x))))
114.0ms
(exp (log1p (exp x)))

simplify840.0ms

Counts
55 → 55
Iterations
IterNodes
42118
3701
2278
1132
073

prune472.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
28
18
05

end0.0ms

sample10.1s

Algorithm
intervals
Results
6.4s6639×body10240exit
1.8s12710×body80nan
1.3s7420×body80valid
173.0ms705×body160valid