Details

Time bar (total: 12.2s)

sample46.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
6.0ms256×pre80true

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5000
74574
61116
5522
4251
3115
252
123
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* y y))
20.9b
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite22.0ms

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/ log1p-expm1-u add-log-exp
1×clear-num frac-2neg prod-exp cbrt-unprod fma-udef div-inv associate-/l*
Counts
2 → 41
Calls
2 calls:
0.0ms
(fma x x (* y y))
20.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series165.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(fma x x (* y y))
105.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify1.3s

Counts
47 → 47
Iterations
IterNodes
done5000
21935
1248
082

prune302.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune27.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* y y))
0.2b
(* (- x y) (/ (+ y x) (fma x x (* y y))))
20.0b
(/ (+ y x) (fma x x (* y y)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
28×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
16×associate-*r*
10×add-cbrt-cube add-exp-log
7×distribute-lft-out
5×pow1 associate-*l*
4×associate-/l*
3×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
2×frac-times cbrt-undiv flip3-- div-exp associate-*l/ prod-exp cbrt-unprod div-inv flip-- unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-+ pow-prod-down associate-*r/ *-commutative flip-+ fma-udef distribute-lft-out-- difference-of-squares
Counts
3 → 88
Calls
3 calls:
0.0ms
(fma x x (* y y))
41.0ms
(* (- x y) (/ (+ y x) (fma x x (* y y))))
33.0ms
(/ (+ y x) (fma x x (* y y)))

series227.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(fma x x (* y y))
95.0ms
(* (- x y) (/ (+ y x) (fma x x (* y y))))
89.0ms
(/ (+ y x) (fma x x (* y y)))

simplify1.8s

Counts
97 → 97
Iterations
IterNodes
done5001
22229
1330
0126

prune418.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.7b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y y (* x x))
20.9b
(/ (* (- x y) (+ y x)) (fma y y (* x x)))

rewrite19.0ms

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/ log1p-expm1-u add-log-exp
1×clear-num frac-2neg prod-exp cbrt-unprod fma-udef div-inv associate-/l*
Counts
2 → 41
Calls
2 calls:
0.0ms
(fma y y (* x x))
17.0ms
(/ (* (- x y) (+ y x)) (fma y y (* x x)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(fma y y (* x x))
114.0ms
(/ (* (- x y) (+ y x)) (fma y y (* x x)))

simplify1.8s

Counts
47 → 47
Iterations
IterNodes
done5001
21892
1248
082

prune174.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.7b

regimes176.0ms

Accuracy

78.4% (4.5b remaining)

Error of 5.0b against oracle of 0.5b and baseline of 21.5b

bsearch173.0ms

Steps
ItersRangePoint
9
8.307811047865195e-178
6.407984111669537e-169
6.255179780863847e-169
8
-9.89376127309662e-187
-2.6494694123937767e-189
-9.739334495050349e-187
8
-9.53817991064458e-160
-5.549334443309092e-163
-7.512106064144896e-163
7
-9.685109581380507e+154
-1.5171851739610474e+153
-1.57606065644376e+153

simplify5.0ms

Iterations
IterNodes
done31
131
027

end0.0ms

sample1.5s

Algorithm
intervals
Results
972.0ms8000×body80valid
202.0ms8000×pre80true