Details

Time bar (total: 10.0s)

sample45.0ms

Algorithm
intervals
Results
23.0ms433×body80valid

simplify76.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
07202
114177
229177
351138
471138
579138
done79138

prune24.0ms

Pruning

1 alts after pruning (1 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))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt 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)))
24.0ms
(* 3 (* y y))

series133.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(fma x x (* 3 (* y y)))
49.0ms
(* 3 (* y y))

simplify747.0ms

Counts
37 → 37
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0507276
11225365
26395365
done50005365

prune158.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt 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))
16.0ms
(* (* 3 y) y)

series101.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(fma x x (* (* 3 y) y))
38.0ms
(* (* 3 y) y)

simplify861.0ms

Counts
36 → 36
Iterations

Useful iterations: done (859.0ms)

IterNodesCost
0527152
11245280
27775280
done50005200

prune145.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b
(* (cbrt 3) (* y y))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×add-sqr-sqrt associate-*l*
5×*-un-lft-identity add-cube-cbrt
4×cbrt-prod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r* *-commutative unswap-sqr
1×fma-udef
Counts
3 → 65
Calls
3 calls:
0.0ms
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
64.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
19.0ms
(* (cbrt 3) (* y y))

series313.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
110.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
75.0ms
(* (cbrt 3) (* y y))

simplify1.2s

Counts
74 → 74
Iterations

Useful iterations: done (1.2s)

IterNodesCost
08421102
121818161
2108416799
done500112253

prune287.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite415.0ms

Algorithm
rewrite-expression-head
Rules
95×pow1 add-exp-log
69×pow-prod-down prod-exp cbrt-unprod
49×add-cbrt-cube
12×cbrt-prod
11×associate-*l*
10×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* *-commutative unswap-sqr
1×fma-udef
Counts
4 → 123
Calls
4 calls:
1.0ms
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))))
32.0ms
(* (cbrt (cbrt 3)) (* y y))
105.0ms
(* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))
268.0ms
(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))

series683.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))))
358.0ms
(* (cbrt (cbrt 3)) (* y y))
80.0ms
(* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))
120.0ms
(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))

simplify2.4s

Counts
135 → 135
Iterations

Useful iterations: done (2.4s)

IterNodesCost
013956509
143248526
2260947246
done500025439

prune511.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes206.0ms

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
06138
17138
done7138

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s14306×body80valid