Details

Time bar (total: 7.9s)

sample28.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify18.0ms

Counts
1 → 1
Iterations
IterNodes
done18
418
317
214
110
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize22.0ms

Local error

Found 1 expressions with local error:

9.0b
(/ (* x y) (+ y 1.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-cbrt-cube add-exp-log
4×associate-/r* times-frac
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×expm1-log1p-u pow1 clear-num frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
14.0ms
(/ (* x y) (+ y 1.0))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ (* x y) (+ y 1.0))

simplify1.2s

Counts
30 → 30
Iterations
IterNodes
done5001
21165
1212
074

prune230.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ y (+ y 1.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
10.0ms
(/ y (+ y 1.0))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ y (+ y 1.0))

simplify818.0ms

Counts
38 → 38
Iterations
IterNodes
done5001
2726
1169
073

prune153.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ y 1.0))
0.0b
(log1p (expm1 (/ y (+ y 1.0))))
0.5b
(expm1 (/ y (+ y 1.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt times-frac add-cube-cbrt
5×add-cbrt-cube add-exp-log
4×associate-/r* log1p-expm1-u distribute-lft-out
3×expm1-log1p-u pow1 associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg flip3-+ div-exp log1p-expm1 flip-+ div-inv expm1-udef
Counts
3 → 57
Calls
3 calls:
9.0ms
(/ y (+ y 1.0))
0.0ms
(log1p (expm1 (/ y (+ y 1.0))))
0.0ms
(expm1 (/ y (+ y 1.0)))

series442.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ y (+ y 1.0))
275.0ms
(log1p (expm1 (/ y (+ y 1.0))))
112.0ms
(expm1 (/ y (+ y 1.0)))

simplify1.0s

Counts
66 → 66
Iterations
IterNodes
done5000
2921
1236
0107

prune436.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma (* y y) y y)
3.6b
(* x (* 1.0 (- (fma (* y y) y y) (* y y))))
6.6b
(- (fma (* y y) y y) (* y y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
24×distribute-rgt-in distribute-lft-in
15×prod-diff
11×add-sqr-sqrt
10×*-un-lft-identity add-cube-cbrt
8×pow1 add-cbrt-cube add-exp-log
6×fma-udef
5×sub-neg associate--l+ add-log-exp
4×associate-*r/
3×expm1-log1p-u fma-neg associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×flip3-- flip--
1×diff-log associate-*r* *-commutative difference-of-squares
Counts
3 → 78
Calls
3 calls:
0.0ms
(fma (* y y) y y)
26.0ms
(* x (* 1.0 (- (fma (* y y) y y) (* y y))))
8.0ms
(- (fma (* y y) y y) (* y y))

series272.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(fma (* y y) y y)
133.0ms
(* x (* 1.0 (- (fma (* y y) y y) (* y y))))
52.0ms
(- (fma (* y y) y y) (* y y))

simplify1.9s

Counts
87 → 87
Iterations
IterNodes
done5000
21703
1362
0145

prune400.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample565.0ms

Algorithm
intervals
Results
335.0ms8000×body80valid