Details

Time bar (total: 7.4s)

sample36.0ms

Algorithm
intervals
Results
18.0ms468×body80valid

simplify68.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
0715
11414
22911
3518
4718
5798
done798

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:
1.0ms
(fma x x (* 3 (* y y)))
32.0ms
(* 3 (* y y))

series95.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(fma x x (* 3 (* y y)))
34.0ms
(* 3 (* y y))

simplify647.0ms

Counts
37 → 37
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
050312
1120296
2624260
done5001260

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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))
22.0ms
(* (* 3 y) y)

series90.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(fma x x (* (* 3 y) y))
29.0ms
(* (* 3 y) y)

simplify650.0ms

Counts
36 → 36
Iterations

Useful iterations: done (649.0ms)

IterNodesCost
052307
1123293
2775257
done5001253

prune99.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3 y) y)
0.4b
(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
17.2b
(sqrt (* (* 3 y) y))
17.2b
(sqrt (* (* 3 y) y))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 116
Calls
4 calls:
33.0ms
(* (* 3 y) y)
149.0ms
(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
14.0ms
(sqrt (* (* 3 y) y))
15.0ms
(sqrt (* (* 3 y) y))

series247.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (* 3 y) y)
94.0ms
(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
62.0ms
(sqrt (* (* 3 y) y))
49.0ms
(sqrt (* (* 3 y) y))

simplify1.1s

Counts
128 → 128
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0871171
1221813
21446700
done5000686

prune260.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y))))
17.2b
(sqrt (* (* 3 y) y))
17.2b
(sqrt (* (* 3 y) y))
17.2b
(sqrt (* (* 3 y) y))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
157×pow1
149×sqrt-pow1
82×pow-prod-down
29×sqrt-prod
24×add-sqr-sqrt
23×pow1/2
21×pow-prod-up
13×pow-sqr
12×add-cube-cbrt *-un-lft-identity
9×swap-sqr
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 132
Calls
4 calls:
127.0ms
(* (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y))))
24.0ms
(sqrt (* (* 3 y) y))
18.0ms
(sqrt (* (* 3 y) y))
18.0ms
(sqrt (* (* 3 y) y))

series196.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y))))
58.0ms
(sqrt (* (* 3 y) y))
39.0ms
(sqrt (* (* 3 y) y))
44.0ms
(sqrt (* (* 3 y) y))

simplify1.3s

Counts
144 → 144
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0811686
1165970
2664881
done5000866

prune339.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
188
done88

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s14187×body80valid