Details

Time bar (total: 24.0s)

sample172.0ms

Algorithm
intervals
Results
84.0ms959×body80nan
22.0ms295×body80valid

simplify3.7s

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
17×*-un-lft-identity
15×add-cube-cbrt
13×times-frac
9×pow1
8×add-cbrt-cube add-exp-log
6×associate-*l* associate-*l/
5×sqrt-prod
4×expm1-log1p-u associate-/r* sqrt-div log1p-expm1-u add-log-exp
3×flip3-- associate-*r* flip-- associate-/l*
2×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 div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 85
Calls
4 calls:
41.0ms
(* (- a (/ 1.0 3.0)) 9.0)
0.0ms
(fma (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) (* 1.0 (- a (/ 1.0 3.0))) (* 1.0 (- a (/ 1.0 3.0))))
19.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
16.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

series475.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (- a (/ 1.0 3.0)) 9.0)
120.0ms
(fma (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) (* 1.0 (- a (/ 1.0 3.0))) (* 1.0 (- a (/ 1.0 3.0))))
211.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
94.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

simplify1.7s

Counts
97 → 97
Iterations
IterNodes
done5000
22189
1559
0230

prune593.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a (/ 1.0 3.0)) 9.0)
0.2b
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
0.3b
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
8.5b
(* (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) (* 1.0 (- a (/ 1.0 3.0))))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
166×add-sqr-sqrt
164×distribute-rgt-in distribute-lft-in
161×*-un-lft-identity
159×add-cube-cbrt
156×prod-diff
133×times-frac
24×associate-*l*
20×add-cbrt-cube add-exp-log
14×pow1 div-inv
9×associate-*l/
8×sqrt-prod
7×prod-exp cbrt-unprod
6×flip3-- sqrt-div associate-*r/ flip--
5×pow-prod-down
4×expm1-log1p-u associate-/r* sub-neg associate-*r* associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×frac-times sqrt-pow1 *-commutative difference-of-squares
1×clear-num frac-2neg pow1/2 distribute-lft-out-- unswap-sqr
Counts
4 → 283
Calls
4 calls:
47.0ms
(* (- a (/ 1.0 3.0)) 9.0)
30.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
22.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
160.0ms
(* (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) (* 1.0 (- a (/ 1.0 3.0))))

series574.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (- a (/ 1.0 3.0)) 9.0)
208.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
105.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
214.0ms
(* (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) (* 1.0 (- a (/ 1.0 3.0))))

simplify1.7s

Counts
295 → 295
Iterations
IterNodes
done5000
12260
0719

prune2.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cbrt-cube add-exp-log
13×*-un-lft-identity associate-*r*
11×pow1 add-cube-cbrt
9×times-frac associate-*l*
8×associate-*l/
6×sqrt-div prod-exp cbrt-unprod
5×flip3-- flip--
4×expm1-log1p-u cbrt-undiv associate-/r* div-exp associate-/r/ sqrt-prod log1p-expm1-u add-log-exp
3×pow-prod-down associate-*r/
2×sqrt-pow1 *-commutative div-inv difference-of-squares unswap-sqr associate-/l/
1×clear-num frac-2neg pow1/2 associate-/l* distribute-lft-out--
Counts
4 → 101
Calls
4 calls:
37.0ms
(* (- a (/ 1.0 3.0)) 9.0)
103.0ms
(* rand (/ (* 1.0 (- a (/ 1.0 3.0))) (sqrt (* (- a (/ 1.0 3.0)) 9.0))))
76.0ms
(/ (* 1.0 (- a (/ 1.0 3.0))) (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
23.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

series921.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (- a (/ 1.0 3.0)) 9.0)
576.0ms
(* rand (/ (* 1.0 (- a (/ 1.0 3.0))) (sqrt (* (- a (/ 1.0 3.0)) 9.0))))
168.0ms
(/ (* 1.0 (- a (/ 1.0 3.0))) (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
93.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

simplify2.0s

Counts
113 → 113
Iterations
IterNodes
done5002
23468
1699
0248

prune682.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.2b
(* rand (/ (/ (* 1.0 (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)))
0.2b
(/ (/ (* 1.0 (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
0.5b
(/ (* 1.0 (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0))))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
324×times-frac
201×add-sqr-sqrt
190×sqrt-prod
144×*-un-lft-identity
112×add-cube-cbrt
94×associate-*r*
32×add-cbrt-cube add-exp-log difference-of-squares
30×sqrt-div
28×associate-/r/
16×flip3-- div-inv flip-- associate-/l* distribute-lft-out--
15×associate-/r*
12×cbrt-undiv div-exp
7×pow1 prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* associate-*r/ unswap-sqr associate-/l/
2×clear-num frac-2neg
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down *-commutative
Counts
4 → 309
Calls
4 calls:
27.0ms
(sqrt (- a (/ 1.0 3.0)))
108.0ms
(* rand (/ (/ (* 1.0 (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)))
45.0ms
(/ (/ (* 1.0 (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
98.0ms
(/ (* 1.0 (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0))))

series717.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(sqrt (- a (/ 1.0 3.0)))
352.0ms
(* rand (/ (/ (* 1.0 (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)))
236.0ms
(/ (/ (* 1.0 (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
85.0ms
(/ (* 1.0 (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0))))

simplify1.4s

Counts
321 → 321
Iterations
IterNodes
done5000
11321
0453

prune1.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes153.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done17
117
013

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.4s26968×body80nan
793.0ms9189×body80valid