Details

Time bar (total: 14.0s)

sample62.0ms

Algorithm
intervals
Results
14.0ms358×body80nan
11.0ms273×body80valid

simplify240.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
078
1138
2257
3447
4657
5887
61057
71267
81497
91567
101717
done1717

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

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))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(fma y (sqrt x) (- 1.0 x))

simplify1.1s

Counts
13 → 13
Iterations

Useful iterations: 4 (390.0ms)

IterNodesCost
026126
153123
2119109
3312109
41214106
done5000106

prune45.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma y (sqrt x) (- 1.0 x)))
0.1b
(fma y (sqrt x) (- 1.0 x))
0.1b
(fma y (sqrt x) (- 1.0 x))
0.1b
(* (sqrt (fma y (sqrt x) (- 1.0 x))) (sqrt (fma y (sqrt x) (- 1.0 x))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×fma-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
2.0ms
(sqrt (fma y (sqrt x) (- 1.0 x)))
0.0ms
(fma y (sqrt x) (- 1.0 x))
0.0ms
(fma y (sqrt x) (- 1.0 x))
25.0ms
(* (sqrt (fma y (sqrt x) (- 1.0 x))) (sqrt (fma y (sqrt x) (- 1.0 x))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(sqrt (fma y (sqrt x) (- 1.0 x)))
50.0ms
(fma y (sqrt x) (- 1.0 x))
49.0ms
(fma y (sqrt x) (- 1.0 x))
34.0ms
(* (sqrt (fma y (sqrt x) (- 1.0 x))) (sqrt (fma y (sqrt x) (- 1.0 x))))

simplify4.5s

Counts
98 → 98
Iterations

Useful iterations: 4 (2.5s)

IterNodesCost
0901561
11751059
2420951
31175904
44957857
done5000857

prune291.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
83×sqrt-pow1
71×sqrt-prod
65×pow1
52×add-sqr-sqrt
43×pow1/2
39×pow-prod-up
18×add-cube-cbrt *-un-lft-identity
17×swap-sqr
15×associate-*l*
12×pow-prod-down
11×add-exp-log pow-sqr add-cbrt-cube unswap-sqr
10×associate-*r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×*-commutative fma-udef
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 145
Calls
4 calls:
0.0ms
(fma y (sqrt x) (- 1.0 x))
1.0ms
(fma y (sqrt x) (- 1.0 x))
32.0ms
(* (sqrt (sqrt (fma y (sqrt x) (- 1.0 x)))) (sqrt (sqrt (fma y (sqrt x) (- 1.0 x)))))
60.0ms
(* (sqrt (fma y (sqrt x) (- 1.0 x))) (* (sqrt (sqrt (fma y (sqrt x) (- 1.0 x)))) (sqrt (sqrt (fma y (sqrt x) (- 1.0 x))))))

series255.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(fma y (sqrt x) (- 1.0 x))
50.0ms
(fma y (sqrt x) (- 1.0 x))
108.0ms
(* (sqrt (sqrt (fma y (sqrt x) (- 1.0 x)))) (sqrt (sqrt (fma y (sqrt x) (- 1.0 x)))))
51.0ms
(* (sqrt (fma y (sqrt x) (- 1.0 x))) (* (sqrt (sqrt (fma y (sqrt x) (- 1.0 x)))) (sqrt (sqrt (fma y (sqrt x) (- 1.0 x))))))

simplify1.9s

Counts
157 → 157
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01493438
12911658
26711508
320131448
done50001410

prune475.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
44×add-sqr-sqrt
35×pow1
29×sqrt-prod
22×add-cube-cbrt *-un-lft-identity
20×pow1/3
18×sqrt-pow1 pow-prod-down
16×pow-prod-up
15×add-exp-log associate-*l*
13×add-cbrt-cube
11×swap-sqr
10×associate-*r*
9×unswap-sqr
7×prod-exp cbrt-unprod
6×pow1/2
4×expm1-log1p-u pow-sqr log1p-expm1-u add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus
Counts
4 → 124
Calls
4 calls:
2.0ms
(cbrt (sqrt (fma y (sqrt x) (- 1.0 x))))
2.0ms
(cbrt (sqrt (fma y (sqrt x) (- 1.0 x))))
18.0ms
(* (cbrt (sqrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (sqrt (fma y (sqrt x) (- 1.0 x)))))
273.0ms
(* (sqrt (fma y (sqrt x) (- 1.0 x))) (* (sqrt (* (cbrt (sqrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (sqrt (fma y (sqrt x) (- 1.0 x)))))) (* (sqrt (cbrt (sqrt (fma y (sqrt x) (- 1.0 x))))) (sqrt (sqrt (fma y (sqrt x) (- 1.0 x)))))))

series783.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt (sqrt (fma y (sqrt x) (- 1.0 x))))
294.0ms
(cbrt (sqrt (fma y (sqrt x) (- 1.0 x))))
210.0ms
(* (cbrt (sqrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (sqrt (fma y (sqrt x) (- 1.0 x)))))
38.0ms
(* (sqrt (fma y (sqrt x) (- 1.0 x))) (* (sqrt (* (cbrt (sqrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (sqrt (fma y (sqrt x) (- 1.0 x)))))) (* (sqrt (cbrt (sqrt (fma y (sqrt x) (- 1.0 x))))) (sqrt (sqrt (fma y (sqrt x) (- 1.0 x)))))))

simplify1.7s

Counts
136 → 136
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02054319
14863586
215902991
done50002788

prune656.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample1.0s

Algorithm
intervals
Results
250.0ms8536×body80valid
231.0ms8682×body80nan
0.0ms1×body1280valid