Details

Time bar (total: 28.5s)

sample148.0ms

Algorithm
intervals
Results
50.0ms785×body80nan
45.0ms286×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
01320
12720
27619
320819
455319
5115019
6249119
done500019

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

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:
1.0ms
(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
96.0ms
(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
46.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
42.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series886.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
211.0ms
(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
126.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
266.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify2.9s

Counts
179 → 179
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
04537178
19946710
247335673
done50005673

prune498.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
84×*-un-lft-identity
82×add-cube-cbrt
78×prod-diff
67×times-frac
41×distribute-rgt-in distribute-lft-in
13×add-exp-log
12×pow1
11×add-cbrt-cube
7×div-inv
6×associate-*r/ associate-*r*
5×prod-exp sqrt-prod
4×expm1-log1p-u sqrt-div pow-prod-down associate-/r* log1p-expm1-u add-log-exp
3×flip3-- flip-- cbrt-unprod associate-/l*
2×sub-neg sqrt-pow1 associate-/r/ difference-of-squares
1×cbrt-undiv frac-2neg pow1/2 1-exp div-exp associate-*l* clear-num *-commutative fma-udef distribute-lft-out--
Counts
4 → 168
Calls
4 calls:
0.0ms
(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
66.0ms
(* (* 1 (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)) (- a (/ 1.0 3.0)))
48.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
31.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series785.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
186.0ms
(* (* 1 (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)) (- a (/ 1.0 3.0)))
124.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
224.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify954.0ms

Counts
180 → 180
Iterations

Useful iterations: done (936.0ms)

IterNodesCost
04657607
113026746
done50015776

prune630.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
484×times-frac
412×add-sqr-sqrt
335×*-un-lft-identity
285×add-cube-cbrt
228×sqrt-prod
117×prod-diff
50×difference-of-squares
41×distribute-rgt-in distribute-lft-in
25×distribute-lft-out--
22×associate-/l*
20×div-inv
11×add-exp-log add-cbrt-cube
9×associate-/r*
6×pow1 associate-*r* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv sub-neg flip3-- fma-neg div-exp associate-*l* flip--
2×sqrt-div associate-*r/ associate-/r/
1×frac-2neg diff-log pow-prod-down prod-exp clear-num *-commutative cbrt-unprod fma-udef associate-/l/ unswap-sqr
Counts
4 → 424
Calls
4 calls:
13.0ms
(- a (/ 1.0 3.0))
0.0ms
(fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0)
89.0ms
(* (fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0) (- a (/ 1.0 3.0)))
77.0ms
(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series835.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- a (/ 1.0 3.0))
320.0ms
(fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0)
254.0ms
(* (fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0) (- a (/ 1.0 3.0)))
224.0ms
(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify1.0s

Counts
436 → 436
Iterations

Useful iterations: done (1.0s)

IterNodesCost
068814582
1154713363
done500012021

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite698.0ms

Algorithm
rewrite-expression-head
Rules
2410×times-frac
1816×add-sqr-sqrt
1677×sqrt-prod
1292×*-un-lft-identity
1056×add-cube-cbrt
750×cbrt-prod
534×associate-*r*
236×difference-of-squares
118×distribute-lft-out--
78×prod-diff
64×associate-/l*
49×add-exp-log
46×unswap-sqr
41×distribute-rgt-in distribute-lft-in
38×add-cbrt-cube
29×div-inv
19×cbrt-undiv div-exp
18×associate-/r*
13×associate-*l* prod-exp cbrt-unprod
8×pow1
4×expm1-log1p-u sqrt-div associate-/r/ log1p-expm1-u add-log-exp
3×flip3-- associate-*r/ flip--
2×sub-neg frac-2neg pow-prod-down clear-num *-commutative
1×frac-times associate-*l/ associate-/l/
Counts
4 → 1413
Calls
4 calls:
58.0ms
(* (fma (* (/ (sqrt 1.0) (* (cbrt (sqrt 9.0)) (cbrt (sqrt 9.0)))) (/ (/ (sqrt 1.0) (cbrt (sqrt 9.0))) (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
371.0ms
(* (/ (sqrt 1.0) (* (cbrt (sqrt 9.0)) (cbrt (sqrt 9.0)))) (/ (/ (sqrt 1.0) (cbrt (sqrt 9.0))) (sqrt (- a (/ 1.0 3.0)))))
57.0ms
(/ (/ (sqrt 1.0) (cbrt (sqrt 9.0))) (sqrt (- a (/ 1.0 3.0))))
16.0ms
(/ (sqrt 1.0) (cbrt (sqrt 9.0)))

series917.0ms

Counts
4 → 10
Calls
4 calls:
350.0ms
(* (fma (* (/ (sqrt 1.0) (* (cbrt (sqrt 9.0)) (cbrt (sqrt 9.0)))) (/ (/ (sqrt 1.0) (cbrt (sqrt 9.0))) (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
262.0ms
(* (/ (sqrt 1.0) (* (cbrt (sqrt 9.0)) (cbrt (sqrt 9.0)))) (/ (/ (sqrt 1.0) (cbrt (sqrt 9.0))) (sqrt (- a (/ 1.0 3.0)))))
304.0ms
(/ (/ (sqrt 1.0) (cbrt (sqrt 9.0))) (sqrt (- a (/ 1.0 3.0))))
0.0ms
(/ (sqrt 1.0) (cbrt (sqrt 9.0)))

simplify3.2s

Counts
1423 → 1423
Iterations

Useful iterations: done (3.1s)

IterNodesCost
0137247208
1440742659
done500141739

prune4.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01421
11919
22019
done2019

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.0s26695×body80nan
1.1s9148×body80valid