Details

Time bar (total: 26.2s)

sample209.0ms

Algorithm
intervals
Results
136.0ms926×body80nan
37.0ms285×body80valid

simplify3.2s

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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)))))
0.4b
(sqrt (* 9 (- a (/ 1.0 3.0))))

rewrite55.0ms

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:
22.0ms
(* 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)))))
19.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series424.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* 9 (- a (/ 1.0 3.0)))
120.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
173.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
66.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify846.0ms

Counts
183 → 183
Iterations
IterNodes
22149
1879
0432

prune2.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.1b
(fma (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.2b
(/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))
0.3b
(* 3 (sqrt (- a (/ 1.0 3.0))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
14×*-un-lft-identity
13×sqrt-prod
11×add-cbrt-cube add-exp-log
10×add-cube-cbrt
9×associate-*r*
7×pow1
6×sqrt-div
5×times-frac
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
3×flip3-- associate-*l* flip-- associate-/l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod distribute-lft-out-- unswap-sqr
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 pow-prod-down *-commutative fma-udef div-inv
Counts
4 → 88
Calls
4 calls:
11.0ms
(sqrt (- a (/ 1.0 3.0)))
0.0ms
(fma (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
23.0ms
(/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))
39.0ms
(* 3 (sqrt (- a (/ 1.0 3.0))))

series434.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (- a (/ 1.0 3.0)))
121.0ms
(fma (/ rand (* 3 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
146.0ms
(/ rand (* 3 (sqrt (- a (/ 1.0 3.0)))))
96.0ms
(* 3 (sqrt (- a (/ 1.0 3.0))))

simplify2.1s

Counts
100 → 100
Iterations
IterNodes
34271
21310
1470
0207

prune935.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) rand)) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.2b
(/ (sqrt (* 9 (- a (/ 1.0 3.0)))) rand)
0.4b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.5b
(/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) rand))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
62×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×associate-/r*
17×add-exp-log sqrt-prod
11×add-cbrt-cube
8×pow1 div-exp
7×associate-/l*
6×div-inv
4×expm1-log1p-u cbrt-undiv sqrt-div associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg sqrt-pow1 flip3-- 1-exp flip-- associate-/l/
1×pow1/2 pow-prod-down associate-/r/ fma-udef pow-flip inv-pow
Counts
4 → 154
Calls
4 calls:
0.0ms
(fma (/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) rand)) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
15.0ms
(/ (sqrt (* 9 (- a (/ 1.0 3.0)))) rand)
14.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
29.0ms
(/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) rand))

series606.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(fma (/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) rand)) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
155.0ms
(/ (sqrt (* 9 (- a (/ 1.0 3.0)))) rand)
74.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
233.0ms
(/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) rand))

simplify1.4s

Counts
166 → 166
Iterations
IterNodes
22083
1774
0314

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a (/ 1.0 3.0)) 9)
0.2b
(/ (sqrt (* (- a (/ 1.0 3.0)) 9)) rand)
0.4b
(sqrt (* (- a (/ 1.0 3.0)) 9))
11.2b
(/ (- a (/ 1.0 3.0)) (/ (sqrt (* (- a (/ 1.0 3.0)) 9)) rand))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
180×add-sqr-sqrt
124×*-un-lft-identity
88×add-cube-cbrt
36×difference-of-squares
26×sqrt-prod
19×associate-/r*
18×distribute-lft-out--
13×add-cbrt-cube add-exp-log
10×associate-/l*
9×pow1 div-inv
6×associate-*l* associate-*l/
4×expm1-log1p-u cbrt-undiv flip3-- sqrt-div div-exp insert-posit16 log1p-expm1-u flip-- add-log-exp associate-/l/
3×associate-*r*
2×clear-num frac-2neg sqrt-pow1 pow-prod-down
1×pow1/2 div-sub prod-exp associate-/r/ *-commutative cbrt-unprod unswap-sqr
Counts
4 → 217
Calls
4 calls:
36.0ms
(* (- a (/ 1.0 3.0)) 9)
20.0ms
(/ (sqrt (* (- a (/ 1.0 3.0)) 9)) rand)
9.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9))
34.0ms
(/ (- a (/ 1.0 3.0)) (/ (sqrt (* (- a (/ 1.0 3.0)) 9)) rand))

series476.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (- a (/ 1.0 3.0)) 9)
197.0ms
(/ (sqrt (* (- a (/ 1.0 3.0)) 9)) rand)
68.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9))
158.0ms
(/ (- a (/ 1.0 3.0)) (/ (sqrt (* (- a (/ 1.0 3.0)) 9)) rand))

simplify2.0s

Counts
229 → 229
Iterations
IterNodes
23530
11157
0395

prune2.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
215
115
012

end0.0ms

sample6.9s

Algorithm
intervals
Results
4.7s27076×body80nan
1.4s9100×body80valid