Details

Time bar (total: 3.0m)

sample374.0ms

Algorithm
intervals
Results
192.0ms1764×body80nan
26.0ms256×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
01516
12716
26115
315715
445915
5172515
done500115

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (log (+ x y)) (log z)) t)
0.2b
(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
0.6b
(+ (log (+ x y)) (log z))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
28×pow1
25×log-pow distribute-lft-out
21×prod-diff
19×add-sqr-sqrt
17×add-cube-cbrt
7×log-prod fma-neg
6×add-log-exp
5×distribute-lft-out--
4×associate-+l- log-div associate-+l+ fma-def
3×add-exp-log expm1-log1p-u associate-+r+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
2×associate--l- diff-log sum-log
1×+-commutative sub-neg flip3-- associate--l+ flip-- fma-udef difference-of-squares
Counts
3 → 92
Calls
3 calls:
104.0ms
(- (+ (log (+ x y)) (log z)) t)
0.0ms
(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
14.0ms
(+ (log (+ x y)) (log z))

series484.0ms

Counts
3 → 9
Calls
3 calls:
229.0ms
(- (+ (log (+ x y)) (log z)) t)
154.0ms
(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
101.0ms
(+ (log (+ x y)) (log z))

simplify720.0ms

Counts
101 → 101
Iterations

Useful iterations: done (715.0ms)

IterNodesCost
01701568
14051344
213941147
done50011084

prune450.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t)
0.2b
(fma (- a 0.5) (log t) (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t))
0.4b
(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
0.5b
(+ (log (sqrt (+ x y))) (log z))

rewrite579.0ms

Algorithm
rewrite-expression-head
Rules
138×*-un-lft-identity
114×distribute-lft-out
90×pow1
88×log-pow
39×prod-diff
30×add-sqr-sqrt
28×add-cube-cbrt
17×log-prod
14×associate-+l+
13×fma-neg
12×fma-def
11×distribute-lft-out--
10×associate-+l- log-div sqrt-div add-log-exp
8×sqrt-prod
7×flip3-+ sum-log flip-+
4×add-exp-log associate--l- expm1-log1p-u associate-+r- associate-+r+ add-cbrt-cube log1p-expm1-u
3×diff-log
2×+-commutative sqrt-pow1 pow1/2
1×sub-neg flip3-- associate--l+ flip-- fma-udef difference-of-squares
Counts
4 → 172
Calls
4 calls:
486.0ms
(- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t)
1.0ms
(fma (- a 0.5) (log t) (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t))
53.0ms
(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
24.0ms
(+ (log (sqrt (+ x y))) (log z))

series690.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t)
187.0ms
(fma (- a 0.5) (log t) (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t))
173.0ms
(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
130.0ms
(+ (log (sqrt (+ x y))) (log z))

simplify1.7s

Counts
184 → 184
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02373665
16272754
224392244
done50022168

prune888.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
54.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
9.0ms
(cbrt (+ x y))
9.0ms
(cbrt (+ x y))
10.0ms
(cbrt (+ x y))

series859.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
219.0ms
(cbrt (+ x y))
203.0ms
(cbrt (+ x y))
208.0ms
(cbrt (+ x y))

simplify905.0ms

Counts
115 → 115
Iterations

Useful iterations: done (900.0ms)

IterNodesCost
01201316
12881186
211681128
done50001104

prune914.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ (log (sqrt (+ x y))) (/ (+ (pow (log (sqrt (+ x y))) 3) (pow (log z) 3)) (fma (log (sqrt (+ x y))) (log (sqrt (+ x y))) (* (log z) (- (log z) (log (sqrt (+ x y))))))))
0.5b
(- (log z) (log (sqrt (+ x y))))
0.7b
(pow (log (sqrt (+ x y))) 3)
0.8b
(pow (log z) 3)

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
35×log-pow
34×pow1
29×add-sqr-sqrt
27×add-cube-cbrt
24×prod-diff
17×log-prod
10×unpow-prod-down cube-prod
8×sqrt-prod
7×associate-+l+ sqrt-pow1 pow1/2 associate--r+
6×add-exp-log pow-unpow fma-def add-cbrt-cube
5×add-log-exp
4×expm1-log1p-u log-div fma-neg sqrt-div log1p-expm1-u distribute-lft-out distribute-lft-out--
3×flip3-+ associate--l+ flip-+
2×cube-mult pow-to-exp associate-+l- pow-pow unpow3 pow-exp associate--r- rem-cube-cbrt sqr-pow
1×+-commutative sub-neg flip3-- diff-log sum-log flip-- difference-of-squares
Counts
4 → 147
Calls
4 calls:
243.0ms
(+ (log (sqrt (+ x y))) (/ (+ (pow (log (sqrt (+ x y))) 3) (pow (log z) 3)) (fma (log (sqrt (+ x y))) (log (sqrt (+ x y))) (* (log z) (- (log z) (log (sqrt (+ x y))))))))
21.0ms
(- (log z) (log (sqrt (+ x y))))
5.0ms
(pow (log (sqrt (+ x y))) 3)
4.0ms
(pow (log z) 3)

series2.5m

Counts
4 → 12
Calls
4 calls:
2.5m
(+ (log (sqrt (+ x y))) (/ (+ (pow (log (sqrt (+ x y))) 3) (pow (log z) 3)) (fma (log (sqrt (+ x y))) (log (sqrt (+ x y))) (* (log z) (- (log z) (log (sqrt (+ x y))))))))
202.0ms
(- (log z) (log (sqrt (+ x y))))
399.0ms
(pow (log (sqrt (+ x y))) 3)
261.0ms
(pow (log z) 3)

simplify2.3s

Counts
159 → 159
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0114221695
1414719934
done500119680

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes507.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02335
12735
done2735

end0.0ms

sample9.2s

Algorithm
intervals
Results
5.2s56261×body80nan
987.0ms8031×body80valid