Details

Time bar (total: 43.1s)

sample66.0ms

Algorithm
intervals
Results
31.0ms894×body80nan
10.0ms286×body80valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01320
12720
27419
319019
444119
587819
6159719
7262619
done500019

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

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

rewrite85.0ms

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:
35.0ms
(* (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)
32.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
10.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series591.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
192.0ms
(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
81.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
156.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify1.4s

Counts
179 → 179
Iterations

Useful iterations: done (1.4s)

IterNodesCost
04537178
19466698
232895557
done50015541

prune385.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
17×*-un-lft-identity
15×add-cube-cbrt
13×times-frac
9×pow1
8×add-exp-log add-cbrt-cube
6×associate-*l*
5×sqrt-prod
4×expm1-log1p-u sqrt-div associate-*r/ associate-/r* log1p-expm1-u add-log-exp
3×flip3-- associate-*r* flip-- fma-udef associate-/l*
2×sqrt-pow1 pow-prod-down associate-*l/ associate-/r/ difference-of-squares
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in pow1/2 div-exp prod-exp clear-num *-commutative cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 87
Calls
4 calls:
26.0ms
(* (- a (/ 1.0 3.0)) (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0))
0.0ms
(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
31.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series580.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (- a (/ 1.0 3.0)) (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0))
193.0ms
(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
79.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
157.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify674.0ms

Counts
99 → 99
Iterations

Useful iterations: done (665.0ms)

IterNodesCost
02391860
15691802
217731639
done50021620

prune323.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
344×add-sqr-sqrt
267×*-un-lft-identity
228×sqrt-prod
217×add-cube-cbrt
50×difference-of-squares
39×prod-diff
25×distribute-lft-out--
22×associate-/l*
14×div-inv
11×add-exp-log add-cbrt-cube
9×associate-/r*
6×pow1 associate-*l* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv flip3-- fma-neg div-exp associate-*r* flip-- fma-udef
2×sqrt-div associate-*l/ associate-/r/
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 344
Calls
4 calls:
8.0ms
(- a (/ 1.0 3.0))
24.0ms
(* (- a (/ 1.0 3.0)) (fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0))
0.0ms
(fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0)
28.0ms
(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series654.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- a (/ 1.0 3.0))
195.0ms
(* (- a (/ 1.0 3.0)) (fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0))
237.0ms
(fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0)
199.0ms
(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify1.6s

Counts
356 → 356
Iterations

Useful iterations: done (1.6s)

IterNodesCost
05849102
113718287
238947616
done50007608

prune885.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
21339×times-frac
10722×sqrt-prod
10552×add-sqr-sqrt
8461×*-un-lft-identity
7067×add-cube-cbrt
3966×cbrt-prod
1394×difference-of-squares
697×distribute-lft-out--
651×div-inv
594×associate-/r*
47×add-exp-log
36×add-cbrt-cube
28×cbrt-undiv div-exp
25×associate-/l*
13×associate-/r/
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg prod-exp clear-num cbrt-unprod associate-/l/
2×sqrt-div
1×flip3-- flip-- fma-udef
Counts
4 → 6540
Calls
4 calls:
0.0ms
(fma (/ (/ (sqrt 1.0) (* (cbrt (sqrt 9.0)) (cbrt (sqrt 9.0)))) (/ (sqrt (- a (/ 1.0 3.0))) (/ (sqrt 1.0) (cbrt (sqrt 9.0))))) rand 1.0)
215.0ms
(/ (/ (sqrt 1.0) (* (cbrt (sqrt 9.0)) (cbrt (sqrt 9.0)))) (/ (sqrt (- a (/ 1.0 3.0))) (/ (sqrt 1.0) (cbrt (sqrt 9.0)))))
44.0ms
(/ (sqrt (- a (/ 1.0 3.0))) (/ (sqrt 1.0) (cbrt (sqrt 9.0))))
6.0ms
(/ (sqrt 1.0) (cbrt (sqrt 9.0)))

series781.0ms

Counts
4 → 10
Calls
4 calls:
320.0ms
(fma (/ (/ (sqrt 1.0) (* (cbrt (sqrt 9.0)) (cbrt (sqrt 9.0)))) (/ (sqrt (- a (/ 1.0 3.0))) (/ (sqrt 1.0) (cbrt (sqrt 9.0))))) rand 1.0)
221.0ms
(/ (/ (sqrt 1.0) (* (cbrt (sqrt 9.0)) (cbrt (sqrt 9.0)))) (/ (sqrt (- a (/ 1.0 3.0))) (/ (sqrt 1.0) (cbrt (sqrt 9.0)))))
240.0ms
(/ (sqrt (- a (/ 1.0 3.0))) (/ (sqrt 1.0) (cbrt (sqrt 9.0))))
0.0ms
(/ (sqrt 1.0) (cbrt (sqrt 9.0)))

simplify2.0s

Counts
6550 → 6550
Iterations

Useful iterations: 0 (619.0ms)

IterNodesCost
05081304932
done5081304932

prune23.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes93.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01522
11920
done1920

end0.0ms

sample1.7s

Algorithm
intervals
Results
832.0ms27187×body80nan
310.0ms9111×body80valid