Details

Time bar (total: 7.0s)

sample18.0ms

Algorithm
intervals
Results
8.0ms317×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1229
2459
31129
42219
53539
65819
716209
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
11.7b
(/ (* x (+ (- y z) 1.0)) z)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
41.0ms
(* x (+ (- y z) 1.0))
19.0ms
(/ (* x (+ (- y z) 1.0)) z)

series68.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* x (+ (- y z) 1.0))
38.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify451.0ms

Counts
57 → 57
Iterations

Useful iterations: done (450.0ms)

IterNodesCost
098645
1268625
21143531
done5000530

prune117.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.5b
(/ x (/ z (+ (- y z) 1.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
18.0ms
(/ z (+ (- y z) 1.0))
26.0ms
(/ x (/ z (+ (- y z) 1.0)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ z (+ (- y z) 1.0))
45.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify671.0ms

Counts
149 → 149
Iterations

Useful iterations: 2 (170.0ms)

IterNodesCost
02042436
14702269
220782172
done50012172

prune270.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.0b
(* x (/ (+ (- y z) 1.0) z))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 80
Calls
2 calls:
34.0ms
(/ (+ (- y z) 1.0) z)
47.0ms
(* x (/ (+ (- y z) 1.0) z))

series65.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (+ (- y z) 1.0) z)
41.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify2.5s

Counts
86 → 86
Iterations

Useful iterations: 3 (486.0ms)

IterNodesCost
01111039
1277987
21074899
34965891
done5000891

prune148.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ x z) 1.0 (/ (* x y) z)) x)
0.0b
(fma (/ x z) 1.0 (/ (* x y) z))
6.8b
(/ (* x y) z)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt
9×prod-diff
8×add-exp-log add-cbrt-cube
5×add-log-exp
3×pow1 expm1-log1p-u times-frac fma-neg associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp fma-udef
1×sub-neg flip3-- frac-2neg diff-log prod-exp associate--l+ clear-num flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 62
Calls
3 calls:
3.0ms
(- (fma (/ x z) 1.0 (/ (* x y) z)) x)
0.0ms
(fma (/ x z) 1.0 (/ (* x y) z))
3.0ms
(/ (* x y) z)

series111.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- (fma (/ x z) 1.0 (/ (* x y) z)) x)
52.0ms
(fma (/ x z) 1.0 (/ (* x y) z))
19.0ms
(/ (* x y) z)

simplify446.0ms

Counts
71 → 71
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
01141097
1252977
21014844
done5000844

prune147.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes71.0ms

Accuracy

95.4% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.1b

bsearch72.0ms

Steps
ItersRangePoint
9
2.348427012896484e-32
1.0522503829473482e-26
1.3016685546439945e-27
8
-2.7564750964835823e+41
-8.012487723561745e+37
-6.231177025534271e+38

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01635
12227
done2227

end0.0ms

sample472.0ms

Algorithm
intervals
Results
253.0ms10098×body80valid