Details

Time bar (total: 27.2s)

sample65.0ms

Algorithm
intervals
Results
29.0ms907×body80nan
10.0ms302×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01320
12720
27419
319019
444119
587819
6159619
7262519
done500019

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
0.1b
(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite81.0ms

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-exp-log add-cbrt-cube
7×div-inv
6×associate-*r/ associate-*r*
5×sqrt-prod
4×expm1-log1p-u sqrt-div associate-/r* 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 frac-2neg pow1/2 div-exp prod-exp clear-num *-commutative cbrt-unprod fma-udef distribute-lft-out-- unswap-sqr
Counts
4 → 167
Calls
4 calls:
33.0ms
(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
0.0ms
(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
31.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series575.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
187.0ms
(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
154.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
79.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify1.2s

Counts
179 → 179
Iterations

Useful iterations: done (1.2s)

IterNodesCost
04537178
19466698
233935557
done50005541

prune600.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0))
1.0b
(/ (pow (cbrt 1.0) 3) (sqrt 3.0))
1.0b
(/ (cbrt 1.0) (sqrt 3.0))
1.0b
(/ (cbrt 1.0) (sqrt 3.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
186×times-frac
137×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
105×sqrt-prod
84×cbrt-prod
42×unpow-prod-down cube-prod
31×associate-/l*
24×associate-/r*
18×add-exp-log
11×add-cbrt-cube
7×cube-mult unpow3 div-exp sqr-pow
5×cbrt-undiv
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u div-inv add-log-exp
1×pow-to-exp pow-exp prod-exp cbrt-unprod
Counts
4 → 301
Calls
4 calls:
9.0ms
(/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0))
9.0ms
(/ (pow (cbrt 1.0) 3) (sqrt 3.0))
4.0ms
(/ (cbrt 1.0) (sqrt 3.0))
4.0ms
(/ (cbrt 1.0) (sqrt 3.0))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0))
0.0ms
(/ (pow (cbrt 1.0) 3) (sqrt 3.0))
0.0ms
(/ (cbrt 1.0) (sqrt 3.0))
0.0ms
(/ (cbrt 1.0) (sqrt 3.0))

simplify908.0ms

Counts
305 → 305
Iterations

Useful iterations: done (899.0ms)

IterNodesCost
02484325
14493296
218143180
done50013176

prune893.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.1b
(* (fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0) (- a (/ 1.0 3.0)))
0.1b
(fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0)
0.4b
(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
457×times-frac
379×add-sqr-sqrt
301×*-un-lft-identity
251×add-cube-cbrt
234×sqrt-prod
78×prod-diff
50×difference-of-squares
41×distribute-rgt-in distribute-lft-in
25×distribute-lft-out--
22×associate-/l*
17×div-inv
11×add-exp-log add-cbrt-cube
9×associate-/r*
7×pow1
6×associate-*r*
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- div-exp associate-*l* flip--
2×sub-neg associate-*r/ associate-/r/
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-prod-down prod-exp clear-num *-commutative cbrt-unprod fma-udef associate-/l/ unswap-sqr
Counts
4 → 385
Calls
4 calls:
15.0ms
(sqrt (- a (/ 1.0 3.0)))
33.0ms
(* (fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0) (- a (/ 1.0 3.0)))
0.0ms
(fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0)
22.0ms
(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series665.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(sqrt (- a (/ 1.0 3.0)))
195.0ms
(* (fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0) (- a (/ 1.0 3.0)))
235.0ms
(fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0)
196.0ms
(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify822.0ms

Counts
397 → 397
Iterations

Useful iterations: done (803.0ms)

IterNodesCost
070713146
1153212096
done500011614

prune923.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (- a (/ 1.0 3.0))))
0.1b
(sqrt (sqrt (- a (/ 1.0 3.0))))
0.3b
(/ (/ (/ 1.0 (sqrt 9.0)) (sqrt (sqrt (- a (/ 1.0 3.0))))) (sqrt (sqrt (- a (/ 1.0 3.0)))))
0.4b
(/ (/ 1.0 (sqrt 9.0)) (sqrt (sqrt (- a (/ 1.0 3.0)))))

rewrite726.0ms

Algorithm
rewrite-expression-head
Rules
10560×times-frac
10253×sqrt-prod
6872×add-sqr-sqrt
5122×*-un-lft-identity
3958×add-cube-cbrt
1164×difference-of-squares
582×distribute-lft-out--
292×associate-/l*
184×div-inv
68×sqrt-div
30×associate-/r/
24×associate-/r*
18×add-exp-log add-cbrt-cube
17×flip3-- flip--
9×cbrt-undiv div-exp
8×pow1 sqrt-pow1
4×expm1-log1p-u rem-sqrt-square pow1/2 log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/l/
Counts
4 → 3912
Calls
4 calls:
11.0ms
(sqrt (sqrt (- a (/ 1.0 3.0))))
11.0ms
(sqrt (sqrt (- a (/ 1.0 3.0))))
149.0ms
(/ (/ (/ 1.0 (sqrt 9.0)) (sqrt (sqrt (- a (/ 1.0 3.0))))) (sqrt (sqrt (- a (/ 1.0 3.0)))))
23.0ms
(/ (/ 1.0 (sqrt 9.0)) (sqrt (sqrt (- a (/ 1.0 3.0)))))

series633.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(sqrt (sqrt (- a (/ 1.0 3.0))))
101.0ms
(sqrt (sqrt (- a (/ 1.0 3.0))))
181.0ms
(/ (/ (/ 1.0 (sqrt 9.0)) (sqrt (sqrt (- a (/ 1.0 3.0))))) (sqrt (sqrt (- a (/ 1.0 3.0)))))
249.0ms
(/ (/ 1.0 (sqrt 9.0)) (sqrt (sqrt (- a (/ 1.0 3.0)))))

simplify1.3s

Counts
3924 → 3924
Iterations

Useful iterations: done (1.0s)

IterNodesCost
03040173445
done5000173435

prune12.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02762
13562
done3562

end0.0ms

sample1.8s

Algorithm
intervals
Results
866.0ms27466×body80nan
325.0ms9173×body80valid