Details

Time bar (total: 28.4s)

sample170.0ms

Algorithm
intervals
Results
104.0ms820×body80nan
34.0ms290×body80valid

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
63095
51346
4543
3191
275
128
014

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9 (- a (/ 1.0 3.0)))
0.1b
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.2b
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.6b
(sqrt (* 9 (- a (/ 1.0 3.0))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
85×*-un-lft-identity
83×add-cube-cbrt
78×prod-diff
67×times-frac
41×distribute-rgt-in distribute-lft-in
9×pow1
8×add-cbrt-cube add-exp-log
7×div-inv
6×associate-*r* associate-*r/
5×sqrt-prod
4×expm1-log1p-u associate-/r* sqrt-div insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- associate-*l* flip-- associate-/l*
2×sub-neg sqrt-pow1 pow-prod-down associate-/r/ difference-of-squares
1×cbrt-undiv clear-num frac-2neg pow1/2 div-exp prod-exp *-commutative cbrt-unprod fma-udef distribute-lft-out-- unswap-sqr
Counts
4 → 171
Calls
4 calls:
23.0ms
(* 9 (- a (/ 1.0 3.0)))
0.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
11.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
25.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series451.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* 9 (- a (/ 1.0 3.0)))
141.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
154.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
81.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify1.1s

Counts
183 → 183
Iterations
IterNodes
22149
1879
0432

prune2.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9 (- a (/ 1.0 3.0)))
0.1b
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.2b
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.6b
(sqrt (* 9 (- a (/ 1.0 3.0))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
85×*-un-lft-identity
83×add-cube-cbrt
78×prod-diff
67×times-frac
41×distribute-rgt-in distribute-lft-in
9×pow1
8×add-cbrt-cube add-exp-log
7×div-inv
6×associate-*r* associate-*r/
5×sqrt-prod
4×expm1-log1p-u associate-/r* sqrt-div insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- associate-*l* flip-- associate-/l*
2×sub-neg sqrt-pow1 pow-prod-down associate-/r/ difference-of-squares
1×cbrt-undiv clear-num frac-2neg pow1/2 div-exp prod-exp *-commutative cbrt-unprod fma-udef distribute-lft-out-- unswap-sqr
Counts
4 → 171
Calls
4 calls:
27.0ms
(* 9 (- a (/ 1.0 3.0)))
0.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
21.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
36.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series393.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* 9 (- a (/ 1.0 3.0)))
122.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
140.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
70.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify1.1s

Counts
183 → 183
Iterations
IterNodes
22149
1879
0432

prune2.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.3b
(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
221×times-frac
170×add-sqr-sqrt
128×*-un-lft-identity
100×add-cube-cbrt
84×sqrt-prod
28×difference-of-squares
14×distribute-lft-out--
13×associate-/l*
11×div-inv
9×associate-/r*
7×add-cbrt-cube add-exp-log
3×cbrt-undiv div-exp
2×expm1-log1p-u pow1 sqrt-div associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg flip3-- fma-udef flip-- associate-/l/
Counts
2 → 170
Calls
2 calls:
0.0ms
(fma (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
36.0ms
(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))

series218.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(fma (/ (/ rand 3) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
130.0ms
(/ (/ rand 3) (sqrt (- a (/ 1.0 3.0))))

simplify3.0s

Counts
176 → 176
Iterations
IterNodes
35548
21798
1741
0341

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma (/ rand (* (sqrt (- a (/ 1.0 3.0))) 3)) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.2b
(/ rand (* (sqrt (- a (/ 1.0 3.0))) 3))
0.3b
(* (sqrt (- a (/ 1.0 3.0))) 3)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
10×*-un-lft-identity add-cbrt-cube add-exp-log
9×associate-*l*
8×add-cube-cbrt
7×sqrt-prod
5×pow1
4×times-frac sqrt-div associate-*l/
3×expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-- difference-of-squares unswap-sqr
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative fma-udef div-inv distribute-lft-out--
Counts
3 → 67
Calls
3 calls:
0.0ms
(fma (/ rand (* (sqrt (- a (/ 1.0 3.0))) 3)) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
16.0ms
(/ rand (* (sqrt (- a (/ 1.0 3.0))) 3))
42.0ms
(* (sqrt (- a (/ 1.0 3.0))) 3)

series381.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(fma (/ rand (* (sqrt (- a (/ 1.0 3.0))) 3)) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
153.0ms
(/ rand (* (sqrt (- a (/ 1.0 3.0))) 3))
94.0ms
(* (sqrt (- a (/ 1.0 3.0))) 3)

simplify3.1s

Counts
76 → 76
Iterations
IterNodes
34555
21250
1431
0182

prune825.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
212
112
011

end0.0ms

sample7.1s

Algorithm
intervals
Results
4.6s27489×body80nan
1.7s9120×body80valid