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))))

rewrite56.0ms

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))
17.0ms
(+ 1.0 (sqrt (+ x 1.0)))
29.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series202.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(sqrt (+ x 1.0))
42.0ms
(+ 1.0 (sqrt (+ x 1.0)))
131.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify37.0ms

Counts
80 → 80
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0334508
11222457
25002445
done5002445

prune157.0ms

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))))

rewrite127.0ms

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)))
67.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))
33.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt (+ x 1.0))
45.0ms
(+ 1.0 (sqrt (+ x 1.0)))
132.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))
96.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))

simplify55.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0472857
12046741
25001696
done5001696

prune215.0ms

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))

rewrite123.0ms

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:
32.0ms
(+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3)))
65.0ms
(/ 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))

series271.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3)))
140.0ms
(/ x (+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3))))
59.0ms
(pow (sqrt (+ x 1.0)) 3)
33.0ms
(cbrt (pow (sqrt (+ x 1.0)) 3))

simplify63.0ms

Counts
135 → 135
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0482915
12021788
25002758
done5002758

prune248.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
70×*-un-lft-identity
59×add-sqr-sqrt
52×times-frac
40×add-cube-cbrt
39×sqrt-prod
30×associate-*r*
15×distribute-lft-out
11×add-exp-log add-cbrt-cube
7×pow1
6×associate-*l* associate-/l* add-log-exp unswap-sqr
4×expm1-log1p-u flip3-+ associate-/r* associate-/r/ flip-+ log1p-expm1-u
3×fma-def
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 → 144
Calls
4 calls:
7.0ms
(sqrt (+ x 1.0))
15.0ms
(+ 1.0 (sqrt (+ x 1.0)))
32.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
76.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series495.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(sqrt (+ x 1.0))
46.0ms
(+ 1.0 (sqrt (+ x 1.0)))
287.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
133.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify66.0ms

Counts
156 → 156
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05541324
123241174
250011140
done50011140

prune292.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes37.0ms

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
156.0ms7998×body80valid
38.0ms2650×body80nan
0.0ms2×body1280valid