Details

Time bar (total: 3.3s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms79×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
184
done84

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.2b
(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
17×add-sqr-sqrt
14×add-cube-cbrt
12×times-frac
6×distribute-lft-out
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1 associate-/r* sqrt-prod
3×expm1-log1p-u fma-def flip3-+ flip-+ log1p-expm1-u associate-/l*
2×sqrt-div associate-/r/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num sum-log hypot-def div-inv
Counts
3 → 71
Calls
3 calls:
8.0ms
(sqrt (+ x 1.0))
19.0ms
(+ 1.0 (sqrt (+ x 1.0)))
30.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series210.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(sqrt (+ x 1.0))
44.0ms
(+ 1.0 (sqrt (+ x 1.0)))
136.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify35.0ms

Counts
80 → 80
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0334508
11222457
25002445
done5002445

prune154.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.1b
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))
0.1b
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
34×add-sqr-sqrt
26×times-frac
24×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
9×distribute-lft-out
8×pow1
6×add-log-exp
4×expm1-log1p-u flip3-+ div-exp prod-exp associate-/r* sqrt-prod associate-/r/ flip-+ log1p-expm1-u
3×fma-def associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp sqrt-div 1-exp cbrt-unprod div-inv
1×+-commutative rem-sqrt-square pow-flip frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative hypot-def inv-pow
Counts
4 → 118
Calls
4 calls:
7.0ms
(sqrt (+ x 1.0))
15.0ms
(+ 1.0 (sqrt (+ x 1.0)))
68.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))
34.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(sqrt (+ x 1.0))
43.0ms
(+ 1.0 (sqrt (+ x 1.0)))
132.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))
98.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))

simplify52.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0472857
12046741
25001696
done5001696

prune209.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3)))
0.2b
(/ x (+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3))))
0.2b
(pow (sqrt (+ x 1.0)) 3)
8.3b
(cbrt (pow (sqrt (+ x 1.0)) 3))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt
20×cbrt-prod
16×sqrt-prod
14×unpow-prod-down cube-prod
12×times-frac
9×distribute-lft-out
7×add-exp-log add-cbrt-cube
6×pow1 add-log-exp
4×cube-div expm1-log1p-u flip3-+ sqrt-div associate-/r* flip-+ log1p-expm1-u
3×pow-unpow pow-pow fma-def associate-/l*
2×cube-mult cbrt-div unpow3 associate-/r/ sqr-pow
1×cbrt-undiv +-commutative pow-to-exp frac-2neg sqrt-pow1 pow1/2 pow1/3 div-exp pow-exp clear-num sum-log sqrt-pow2 rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 123
Calls
4 calls:
34.0ms
(+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3)))
68.0ms
(/ x (+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3))))
12.0ms
(pow (sqrt (+ x 1.0)) 3)
9.0ms
(cbrt (pow (sqrt (+ x 1.0)) 3))

series272.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3)))
136.0ms
(/ x (+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3))))
61.0ms
(pow (sqrt (+ x 1.0)) 3)
34.0ms
(cbrt (pow (sqrt (+ x 1.0)) 3))

simplify58.0ms

Counts
135 → 135
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0482915
12021788
25002758
done5002758

prune240.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ (sqrt (+ x 1.0)) 1.0)
0.0b
(/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0))
0.2b
(* (sqrt x) (/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0)))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
73×*-un-lft-identity
60×add-sqr-sqrt
52×times-frac
43×sqrt-prod
41×add-cube-cbrt
30×associate-*r*
16×distribute-lft-out
11×add-exp-log add-cbrt-cube
7×pow1 fma-def
6×associate-*l* associate-/l* add-log-exp unswap-sqr
4×expm1-log1p-u flip3-+ associate-/r* associate-/r/ flip-+ log1p-expm1-u
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod div-inv
1×+-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num sum-log *-commutative hypot-def
Counts
4 → 148
Calls
4 calls:
8.0ms
(sqrt (+ x 1.0))
32.0ms
(+ (sqrt (+ x 1.0)) 1.0)
39.0ms
(/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0))
96.0ms
(* (sqrt x) (/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0)))

series496.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt (+ x 1.0))
45.0ms
(+ (sqrt (+ x 1.0)) 1.0)
287.0ms
(/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0))
134.0ms
(* (sqrt x) (/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0)))

simplify62.0ms

Counts
160 → 160
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05531321
123121172
250011139
done50011139

prune290.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135
done135

end0.0ms

sample343.0ms

Algorithm
intervals
Results
154.0ms7998×body80valid
38.0ms2650×body80nan
0.0ms2×body1280valid