Details

Time bar (total: 14.4s)

sample72.0ms

Algorithm
intervals
Results
33.0ms988×body80nan
10.0ms298×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01320
12720
27419
319219
444819
588819
6161619
7276119
done500119

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))))
0.3b
(/ 1.0 (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:
0.0ms
(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
33.0ms
(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
30.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series591.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
151.0ms
(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
82.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
159.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify1.7s

Counts
179 → 179
Iterations

Useful iterations: done (1.7s)

IterNodesCost
04537178
19626698
239675557
done50015541

prune351.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0)
0.1b
(* (fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
0.3b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.4b
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
209×add-sqr-sqrt
156×times-frac
143×*-un-lft-identity
121×add-cube-cbrt
78×prod-diff
62×sqrt-prod
41×distribute-rgt-in distribute-lft-in
39×associate-*r*
30×add-exp-log
25×associate-*l*
20×add-cbrt-cube
16×difference-of-squares unswap-sqr
9×div-exp prod-exp associate-/r* div-inv
8×pow1 distribute-lft-out--
5×cbrt-undiv cbrt-unprod
4×expm1-log1p-u sqrt-div associate-/r/ log1p-expm1-u add-log-exp
3×flip3-- associate-*r/ flip-- associate-/l*
2×sub-neg rec-exp 1-exp pow-prod-down *-commutative
1×frac-times frac-2neg associate-*l/ clear-num fma-udef
Counts
4 → 268
Calls
4 calls:
0.0ms
(fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0)
30.0ms
(* (fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
15.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
49.0ms
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

series700.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0)
195.0ms
(* (fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
84.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
189.0ms
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

simplify449.0ms

Counts
280 → 280
Iterations

Useful iterations: done (437.0ms)

IterNodesCost
05669742
113138619
done50008047

prune704.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
494×times-frac
404×add-sqr-sqrt
324×*-un-lft-identity
272×add-cube-cbrt
252×sqrt-prod
78×prod-diff
52×difference-of-squares
41×distribute-rgt-in distribute-lft-in
36×associate-/l*
26×distribute-lft-out--
16×sqrt-div associate-/r/
15×associate-/r* div-inv
13×add-exp-log add-cbrt-cube
9×flip3-- flip--
6×pow1 associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-*l*
2×sub-neg frac-2neg associate-*r/ clear-num
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef associate-/l/ unswap-sqr
Counts
4 → 426
Calls
4 calls:
0.0ms
(fma (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand 1.0)
30.0ms
(* (fma (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand 1.0) (- a (/ 1.0 3.0)))
31.0ms
(/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
13.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))

series697.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(fma (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand 1.0)
195.0ms
(* (fma (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand 1.0) (- a (/ 1.0 3.0)))
187.0ms
(/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
85.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))

simplify510.0ms

Counts
438 → 438
Iterations

Useful iterations: done (486.0ms)

IterNodesCost
074313957
1163313005
done500112743

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
793×sqrt-prod
587×add-sqr-sqrt
549×*-un-lft-identity
543×times-frac
539×add-cube-cbrt
480×prod-diff
242×distribute-rgt-in distribute-lft-in
21×associate-/r*
18×difference-of-squares
15×add-exp-log add-cbrt-cube div-inv associate-/l*
14×associate-*r*
9×pow1
8×associate-*r/
5×distribute-lft-out--
4×expm1-log1p-u frac-times flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp pow-prod-down prod-exp clear-num cbrt-unprod flip-+
2×sub-neg sqrt-undiv sqrt-div associate-*l/ associate-/r/
1×associate-*l* *-commutative
Counts
4 → 704
Calls
4 calls:
13.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
174.0ms
(* (* (fma (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand 1.0) (+ (sqrt a) (/ (sqrt 1.0) (sqrt 3.0)))) (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))))
7.0ms
(/ (sqrt 1.0) (sqrt 3.0))
4.0ms
(/ (sqrt 1.0) (sqrt 3.0))

series1.4s

Counts
4 → 8
Calls
4 calls:
88.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
1.3s
(* (* (fma (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand 1.0) (+ (sqrt a) (/ (sqrt 1.0) (sqrt 3.0)))) (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))))
0.0ms
(/ (sqrt 1.0) (sqrt 3.0))
0.0ms
(/ (sqrt 1.0) (sqrt 3.0))

simplify832.0ms

Counts
712 → 712
Iterations

Useful iterations: done (772.0ms)

IterNodesCost
096854110
1265850159
done500149663

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01320
11420
done1420

end0.0ms

sample1.8s

Algorithm
intervals
Results
864.0ms27681×body80nan
322.0ms9139×body80valid