Details

Time bar (total: 12.6s)

sample33.0ms

Algorithm
intervals
Results
8.0ms297×body80nan
8.0ms269×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
078
1138
2257
3447
4727
51627
65067
716737
done50007

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma y (sqrt x) (- 1.0 x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma y (sqrt x) (- 1.0 x))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(fma y (sqrt x) (- 1.0 x))

simplify1.3s

Counts
13 → 13
Iterations

Useful iterations: 4 (309.0ms)

IterNodesCost
026126
153123
2119109
3339109
41760106
done5000106

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.2b
(* y (sqrt x))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt
11×associate-+l+
9×prod-diff
7×add-log-exp
6×associate-*r*
5×fma-def
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sum-log log1p-expm1-u unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 55
Calls
2 calls:
64.0ms
(+ (- 1.0 x) (* y (sqrt x)))
21.0ms
(* y (sqrt x))

series98.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ (- 1.0 x) (* y (sqrt x)))
53.0ms
(* y (sqrt x))

simplify797.0ms

Counts
61 → 61
Iterations

Useful iterations: done (795.0ms)

IterNodesCost
0110620
1286545
21017453
done5001438

prune147.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.3b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×expm1-log1p-u rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 96
Calls
4 calls:
4.0ms
(sqrt (sqrt x))
4.0ms
(sqrt (sqrt x))
14.0ms
(* y (sqrt (sqrt x)))
40.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series593.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(sqrt (sqrt x))
197.0ms
(sqrt (sqrt x))
120.0ms
(* y (sqrt (sqrt x)))
66.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.2s

Counts
108 → 108
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0138963
1369754
21739688
done5001674

prune358.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
0.1b
(sqrt (sqrt x))
0.3b
(* y (pow x 1/4))
0.3b
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
21×*-un-lft-identity
19×add-exp-log add-cube-cbrt sqrt-prod
16×associate-*r*
11×associate-+l+ add-cbrt-cube
10×prod-exp
9×prod-diff add-log-exp
8×pow1
5×fma-def
4×expm1-log1p-u unpow-prod-down sqrt-pow1 associate-*l* cbrt-unprod log1p-expm1-u
3×unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp sum-log *-commutative sqr-pow
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 106
Calls
4 calls:
44.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
3.0ms
(sqrt (sqrt x))
20.0ms
(* y (pow x 1/4))
30.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

series494.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
190.0ms
(sqrt (sqrt x))
78.0ms
(* y (pow x 1/4))
139.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

simplify1.7s

Counts
118 → 118
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02131447
15781281
227071158
done50001139

prune499.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample1.8s

Algorithm
intervals
Results
776.0ms8649×body80nan
422.0ms8540×body80valid