Details

Time bar (total: 19.1s)

sample40.0ms

Algorithm
intervals
Results
22.0ms443×body80valid

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
0715
11414
22911
3508
4688
5748
done748

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* 3 (* y y)))
0.2b
(* 3 (* y y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*r* *-commutative fma-udef unswap-sqr
Counts
2 → 31
Calls
2 calls:
0.0ms
(fma x x (* 3 (* y y)))
17.0ms
(* 3 (* y y))

series78.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(fma x x (* 3 (* y y)))
27.0ms
(* 3 (* y y))

simplify4.6s

Counts
37 → 37
Iterations

Useful iterations: 3 (199.0ms)

IterNodesCost
050312
1102296
2250260
3604254
41262254
54624254
done5000254

prune91.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* 3 y) y))
0.2b
(* (* 3 y) y)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x x (* (* 3 y) y))
31.0ms
(* (* 3 y) y)

series97.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(fma x x (* (* 3 y) y))
35.0ms
(* (* 3 y) y)

simplify3.1s

Counts
36 → 36
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
052307
1116291
2378253
3857247
41706246
done5000246

prune105.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* y y))
0.3b
(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
16.4b
(sqrt (* 3 (* y y)))
16.4b
(sqrt (* 3 (* y y)))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
12×add-sqr-sqrt
11×add-exp-log pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 117
Calls
4 calls:
31.0ms
(* 3 (* y y))
114.0ms
(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
18.0ms
(sqrt (* 3 (* y y)))
25.0ms
(sqrt (* 3 (* y y)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* 3 (* y y))
77.0ms
(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
53.0ms
(sqrt (* 3 (* y y)))
67.0ms
(sqrt (* 3 (* y y)))

simplify3.8s

Counts
129 → 129
Iterations

Useful iterations: done (3.8s)

IterNodesCost
0841176
1160769
2468653
31835625
done5000617

prune313.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* (sqrt 3) (* (sqrt 3) (* y y))))
0.3b
(* (sqrt 3) (* (sqrt 3) (* y y)))
0.3b
(* (sqrt 3) (* y y))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
9×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity sqrt-prod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r* *-commutative unswap-sqr
1×fma-udef
Counts
3 → 61
Calls
3 calls:
1.0ms
(fma x x (* (sqrt 3) (* (sqrt 3) (* y y))))
62.0ms
(* (sqrt 3) (* (sqrt 3) (* y y)))
21.0ms
(* (sqrt 3) (* y y))

series269.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(fma x x (* (sqrt 3) (* (sqrt 3) (* y y))))
83.0ms
(* (sqrt 3) (* (sqrt 3) (* y y)))
59.0ms
(* (sqrt 3) (* y y))

simplify4.2s

Counts
70 → 70
Iterations

Useful iterations: done (4.2s)

IterNodesCost
075787
1162589
2498497
31560481
done5000477

prune157.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes90.0ms

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
068
188
done88

end0.0ms

sample1.4s

Algorithm
intervals
Results
892.0ms14232×body80valid