Details

Time bar (total: 20.6s)

sample107.0ms

Algorithm
intervals
Results
57.0ms959×body80nan
13.0ms295×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5000
62429
51149
4547
3208
276
127
013

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (fma (/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand 1.0) (- a (/ 1.0 3.0)))
0.1b
(fma (/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand 1.0)
0.3b
(/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
0.3b
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

rewrite82.0ms

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*
5×sqrt-prod
4×expm1-log1p-u associate-/r* sqrt-div associate-*l/ log1p-expm1-u add-log-exp
3×flip3-- associate-*l* flip-- associate-/l*
2×sub-neg sqrt-pow1 pow-prod-down associate-*r/ 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 → 167
Calls
4 calls:
45.0ms
(* (fma (/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand 1.0) (- a (/ 1.0 3.0)))
0.0ms
(fma (/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand 1.0)
13.0ms
(/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
11.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

series709.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (fma (/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand 1.0) (- a (/ 1.0 3.0)))
226.0ms
(fma (/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand 1.0)
185.0ms
(/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
132.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

simplify2.0s

Counts
179 → 179
Iterations
IterNodes
done5000
24524
1991
0453

prune961.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
0.3b
(/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
0.3b
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.3b
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×pow1 sqrt-prod
8×associate-/r* add-cbrt-cube sqrt-div associate-*l/ add-exp-log
6×associate-/l*
4×expm1-log1p-u sqrt-pow1 flip3-- associate-/r/ log1p-expm1-u flip-- add-log-exp
2×cbrt-undiv clear-num frac-2neg pow1/2 div-exp pow-prod-down div-inv
Counts
4 → 100
Calls
4 calls:
29.0ms
(/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
28.0ms
(/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
29.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
23.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

series654.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
228.0ms
(/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
89.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
107.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

simplify727.0ms

Counts
112 → 112
Iterations
IterNodes
done5000
21314
1361
0157

prune987.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a (/ 1.0 3.0)) 9.0)
0.1b
(* (+ (/ (* rand 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1.0) (- a (/ 1.0 3.0)))
0.2b
(/ (* rand 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
0.3b
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

rewrite367.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
84×*-un-lft-identity
78×prod-diff add-cube-cbrt
60×times-frac
41×distribute-rgt-in distribute-lft-in
13×add-cbrt-cube add-exp-log
11×pow1
10×associate-*l*
9×associate-*r*
8×associate-*l/
7×div-inv
6×flip3-- flip--
4×expm1-log1p-u frac-times associate-/r* sqrt-div log1p-expm1-u add-log-exp difference-of-squares
3×flip3-+ pow-prod-down prod-exp sqrt-prod cbrt-unprod flip-+
2×cbrt-undiv sub-neg sqrt-pow1 div-exp associate-*r/ associate-/r/ *-commutative distribute-lft-out-- unswap-sqr
1×clear-num frac-2neg pow1/2 distribute-lft-out associate-/l*
Counts
4 → 181
Calls
4 calls:
63.0ms
(* (- a (/ 1.0 3.0)) 9.0)
252.0ms
(* (+ (/ (* rand 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1.0) (- a (/ 1.0 3.0)))
24.0ms
(/ (* rand 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
11.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

series652.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (- a (/ 1.0 3.0)) 9.0)
159.0ms
(* (+ (/ (* rand 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1.0) (- a (/ 1.0 3.0)))
307.0ms
(/ (* rand 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
104.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

simplify859.0ms

Counts
193 → 193
Iterations
IterNodes
done5002
11570
0485

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9.0 (- a (/ 1.0 3.0)))
0.1b
(* (+ (/ (* rand 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) 1.0) (- a (/ 1.0 3.0)))
0.2b
(/ (* rand 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite378.0ms

Algorithm
rewrite-expression-head
Rules
160×add-sqr-sqrt
156×prod-diff
152×*-un-lft-identity
146×add-cube-cbrt
114×times-frac
82×distribute-rgt-in distribute-lft-in
13×add-cbrt-cube add-exp-log div-inv
12×associate-*r*
11×pow1
8×associate-*r/
7×associate-*l*
6×flip3-- flip--
4×expm1-log1p-u frac-times associate-/r* sub-neg sqrt-div log1p-expm1-u add-log-exp difference-of-squares
3×flip3-+ pow-prod-down prod-exp sqrt-prod cbrt-unprod flip-+
2×cbrt-undiv sqrt-pow1 div-exp associate-*l/ associate-/r/ *-commutative distribute-lft-out-- unswap-sqr
1×clear-num frac-2neg pow1/2 distribute-lft-out associate-/l*
Counts
4 → 263
Calls
4 calls:
65.0ms
(* 9.0 (- a (/ 1.0 3.0)))
219.0ms
(* (+ (/ (* rand 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) 1.0) (- a (/ 1.0 3.0)))
28.0ms
(/ (* rand 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
53.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series608.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* 9.0 (- a (/ 1.0 3.0)))
157.0ms
(* (+ (/ (* rand 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) 1.0) (- a (/ 1.0 3.0)))
278.0ms
(/ (* rand 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
115.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify1.1s

Counts
275 → 275
Iterations
IterNodes
done5001
11793
0588

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes296.0ms

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
done17
117
013

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.2s26968×body80nan
930.0ms9189×body80valid