Details

Time bar (total: 16.8s)

sample54.0ms

Algorithm
intervals
Results
30.0ms256×body80valid
12.0ms256×pre80true

simplify5.8s

Counts
1 → 1
Iterations
IterNodes
83449
71366
6799
5457
4220
3107
250
123
09

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.4b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y y (* x x))
22.3b
(/ (* (+ x y) (- x y)) (fma y y (* x x)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
7×add-cbrt-cube add-exp-log
4×add-sqr-sqrt frac-times *-un-lft-identity add-cube-cbrt
3×associate-/r* flip3-+ times-frac flip3-- flip-+ flip--
2×expm1-log1p-u pow1 cbrt-undiv div-exp associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg prod-exp cbrt-unprod fma-udef div-inv associate-/l*
Counts
2 → 43
Calls
2 calls:
0.0ms
(fma y y (* x x))
38.0ms
(/ (* (+ x y) (- x y)) (fma y y (* x x)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(fma y y (* x x))
74.0ms
(/ (* (+ x y) (- x y)) (fma y y (* x x)))

simplify1.8s

Counts
49 → 49
Iterations
IterNodes
35212
21001
1254
081

prune428.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune11.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y y (* x x))
0.0b
(exp (/ (* (+ x y) (- x y)) (fma y y (* x x))))
0.0b
(log (exp (/ (* (+ x y) (- x y)) (fma y y (* x x)))))
22.3b
(/ (* (+ x y) (- x y)) (fma y y (* x x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
14×exp-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac add-cbrt-cube add-exp-log
8×log-pow associate-/l/
5×pow1 add-log-exp
4×expm1-log1p-u frac-times insert-posit16 log1p-expm1-u
3×log-prod associate-/r* flip3-+ flip3-- flip-+ div-inv flip--
2×cbrt-undiv div-exp associate-*l/ associate-*r/
1×clear-num frac-2neg rem-log-exp prod-exp cbrt-unprod fma-udef associate-/l* rem-exp-log
Counts
4 → 83
Calls
4 calls:
0.0ms
(fma y y (* x x))
4.0ms
(exp (/ (* (+ x y) (- x y)) (fma y y (* x x))))
7.0ms
(log (exp (/ (* (+ x y) (- x y)) (fma y y (* x x)))))
20.0ms
(/ (* (+ x y) (- x y)) (fma y y (* x x)))

series378.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(fma y y (* x x))
124.0ms
(exp (/ (* (+ x y) (- x y)) (fma y y (* x x))))
114.0ms
(log (exp (/ (* (+ x y) (- x y)) (fma y y (* x x)))))
94.0ms
(/ (* (+ x y) (- x y)) (fma y y (* x x)))

simplify2.0s

Counts
95 → 95
Iterations
IterNodes
35096
21046
1309
0121

prune998.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (sqrt (fma y y (* x x))))
0.0b
(/ (+ y x) (hypot x y))
0.0b
(* (/ (- x y) (sqrt (fma y y (* x x)))) (/ (+ y x) (hypot x y)))
21.6b
(sqrt (fma y y (* x x)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
98×*-un-lft-identity
91×times-frac
58×add-cube-cbrt
38×sqrt-prod
34×associate-*l*
20×add-cbrt-cube add-exp-log
16×associate-*r*
13×distribute-lft-out-- difference-of-squares
9×associate-/r* associate-/l*
7×pow1 distribute-lft-out
6×cbrt-undiv div-exp unswap-sqr
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp associate-/l/
2×clear-num frac-2neg
1×frac-times rem-sqrt-square sqrt-pow1 flip3-+ flip3-- pow1/2 div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+ fma-udef hypot-def flip--
Counts
4 → 191
Calls
4 calls:
15.0ms
(/ (- x y) (sqrt (fma y y (* x x))))
15.0ms
(/ (+ y x) (hypot x y))
58.0ms
(* (/ (- x y) (sqrt (fma y y (* x x)))) (/ (+ y x) (hypot x y)))
1.0ms
(sqrt (fma y y (* x x)))

series522.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(/ (- x y) (sqrt (fma y y (* x x))))
154.0ms
(/ (+ y x) (hypot x y))
183.0ms
(* (/ (- x y) (sqrt (fma y y (* x x)))) (/ (+ y x) (hypot x y)))
61.0ms
(sqrt (fma y y (* x x)))

simplify721.0ms

Counts
203 → 203
Iterations
IterNodes
22133
1587
0216

prune2.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
213
113
011

end0.0ms

sample1.5s

Algorithm
intervals
Results
944.0ms8000×body80valid
360.0ms8000×pre80true