Details

Time bar (total: 15.1s)

sample77.0ms

Algorithm
intervals
Results
32.0ms988×body80nan
11.0ms298×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01320
12720
27419
319019
444119
587819
6159619
7262519
done500019

prune10.0ms

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)
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)))))

rewrite86.0ms

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)
35.0ms
(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
32.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series556.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
147.0ms
(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
74.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
149.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify1.1s

Counts
179 → 179
Iterations

Useful iterations: done (1.1s)

IterNodesCost
04537178
19466698
233915557
done50015541

prune377.0ms

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
(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)))))

rewrite122.0ms

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)
32.0ms
(* (fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
14.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
56.0ms
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

series686.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0)
189.0ms
(* (fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
81.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
184.0ms
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

simplify1.7s

Counts
280 → 280
Iterations

Useful iterations: 2 (771.0ms)

IterNodesCost
05669742
112878567
246357259
done50007259

prune658.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
163×add-sqr-sqrt
131×*-un-lft-identity
124×times-frac
113×add-cube-cbrt
78×prod-diff
49×sqrt-prod
41×distribute-rgt-in distribute-lft-in
37×associate-*l*
22×add-exp-log add-cbrt-cube
16×difference-of-squares
15×associate-/r*
9×associate-*r* div-inv
8×pow1 distribute-lft-out--
6×cbrt-undiv div-exp
5×flip3-- prod-exp flip-- cbrt-unprod
4×expm1-log1p-u frac-times sqrt-div associate-*l/ associate-/r/ log1p-expm1-u associate-/l* add-log-exp unswap-sqr
3×flip3-+ flip-+
2×sub-neg frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
1×associate-/l/ distribute-lft-out
Counts
4 → 256
Calls
4 calls:
104.0ms
(* (+ (/ (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0)) 1.0) (- a (/ 1.0 3.0)))
13.0ms
(/ (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0))
37.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
14.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))

series628.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (+ (/ (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0)) 1.0) (- a (/ 1.0 3.0)))
228.0ms
(/ (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0))
162.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
83.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))

simplify548.0ms

Counts
268 → 268
Iterations

Useful iterations: done (530.0ms)

IterNodesCost
05889255
116498632
done50018080

prune712.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))))

rewrite115.0ms

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)
32.0ms
(* (fma (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand 1.0) (- a (/ 1.0 3.0)))
33.0ms
(/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
13.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))

series685.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(fma (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand 1.0)
190.0ms
(* (fma (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand 1.0) (- a (/ 1.0 3.0)))
184.0ms
(/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
85.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))

simplify611.0ms

Counts
438 → 438
Iterations

Useful iterations: done (592.0ms)

IterNodesCost
074313957
1161112849
done500012407

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes87.0ms

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
01421
11721
done1721

end0.0ms

sample1.9s

Algorithm
intervals
Results
910.0ms27681×body80nan
335.0ms9139×body80valid