Details

Time bar (total: 47.5s)

sample55.0ms

Algorithm
intervals
Results
15.0ms257×body80valid
12.0ms255×body80nan

simplify33.4s

Counts
1 → 1
Iterations

Useful iterations: 4 (187.0ms)

IterNodesCost
01012
12112
26312
320312
447611
5103011
6172111
7240411
8273111
9278511
10302911
11327711
12351811
13382211
14417611
15422211
16424211
done424211

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.1b
(* (+ y 0.5) (log y))

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
21×add-sqr-sqrt
17×add-cube-cbrt add-log-exp
15×prod-diff
7×distribute-lft-out
6×pow1 log-prod
5×add-exp-log associate-+l+ diff-log add-cbrt-cube
4×fma-neg associate-*r* associate-*l* sum-log
3×distribute-rgt-in expm1-log1p-u fma-def distribute-lft-in log1p-expm1-u
2×associate-+l- sub-neg flip3-+ associate-*l/ flip-+ distribute-lft-out--
1×+-commutative associate--l- flip3-- pow-prod-down prod-exp associate--l+ log-pow *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
Counts
3 → 91
Calls
3 calls:
233.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
32.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
31.0ms
(* (+ y 0.5) (log y))

series448.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
56.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
324.0ms
(* (+ y 0.5) (log y))

simplify1.3s

Counts
100 → 100
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01791585
14471404
213601239
done50001140

prune335.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ x (fma (- (log y)) (+ y 0.5) y)) z)
0.0b
(+ x (fma (- (log y)) (+ y 0.5) y))
0.1b
(fma (- (log y)) (+ y 0.5) y)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
14×add-sqr-sqrt
12×add-cube-cbrt prod-diff
10×add-log-exp
6×distribute-lft-out
4×fma-neg
3×pow1 add-exp-log expm1-log1p-u fma-def add-cbrt-cube log1p-expm1-u
2×diff-log sum-log fma-udef distribute-lft-out--
1×+-commutative sub-neg associate-+r+ flip3-- flip3-+ associate--l+ flip-- flip-+ difference-of-squares
Counts
3 → 63
Calls
3 calls:
58.0ms
(- (+ x (fma (- (log y)) (+ y 0.5) y)) z)
6.0ms
(+ x (fma (- (log y)) (+ y 0.5) y))
0.0ms
(fma (- (log y)) (+ y 0.5) y)

series555.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (+ x (fma (- (log y)) (+ y 0.5) y)) z)
56.0ms
(+ x (fma (- (log y)) (+ y 0.5) y))
445.0ms
(fma (- (log y)) (+ y 0.5) y)

simplify823.0ms

Counts
72 → 72
Iterations

Useful iterations: done (820.0ms)

IterNodesCost
01261317
13031127
29321007
done5001897

prune301.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
0.1b
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.4b
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
0.4b
(* (sqrt (+ y 0.5)) (log y))

rewrite367.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
31×add-sqr-sqrt
25×add-cube-cbrt
18×log-prod add-log-exp
15×distribute-rgt-in distribute-lft-in prod-diff
14×sqrt-div associate-*l*
12×pow1
11×add-exp-log add-cbrt-cube
10×associate-*l/
9×sqrt-prod
8×flip3-+ flip-+ distribute-lft-out
5×associate-+l+ diff-log associate-*r*
4×expm1-log1p-u frac-times fma-neg pow-prod-down prod-exp sum-log cbrt-unprod log1p-expm1-u
3×fma-def
2×associate-+l- sub-neg associate-*r/ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative associate--l- flip3-- associate--l+ log-pow flip-- difference-of-squares
Counts
4 → 139
Calls
4 calls:
181.0ms
(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
25.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
98.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
53.0ms
(* (sqrt (+ y 0.5)) (log y))

series652.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
64.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
411.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
89.0ms
(* (sqrt (+ y 0.5)) (log y))

simplify2.0s

Counts
151 → 151
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02853162
16842178
220171901
done50011814

prune523.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (cbrt y)) (+ y 0.5))
0.3b
(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity associate-*r/
8×add-cube-cbrt
7×pow1
6×add-exp-log cbrt-prod flip3-+ add-cbrt-cube flip-+ add-log-exp
5×associate-*l*
4×expm1-log1p-u associate-*r* frac-add log1p-expm1-u
3×distribute-rgt-in distribute-lft-in pow1/3
2×associate-+l+ associate-+r+ log-pow
1×+-commutative distribute-rgt-out fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 76
Calls
4 calls:
36.0ms
(* (log (cbrt y)) (+ y 0.5))
37.0ms
(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series2.1s

Counts
4 → 12
Calls
4 calls:
611.0ms
(* (log (cbrt y)) (+ y 0.5))
1.0s
(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
263.0ms
(cbrt y)
221.0ms
(cbrt y)

simplify1.6s

Counts
88 → 88
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01471170
1439948
22034838
done5002792

prune386.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes85.0ms

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
01012
11212
done1212

end0.0ms

sample2.0s

Algorithm
intervals
Results
590.0ms7960×body80nan
570.0ms8041×body80valid
0.0ms2×body640valid
0.0ms1×body160valid