Details

Time bar (total: 22.2s)

sample374.0ms

Algorithm
intervals
Results
86.0ms590×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5000
43561
3664
2152
151
022

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize83.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
0.3b
(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
0.3b
(* (* w r) (* w r))
0.3b
(/ 2.0 (* r r))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
29×add-sqr-sqrt
26×add-cbrt-cube add-exp-log
24×*-un-lft-identity
22×associate-*l*
19×times-frac
18×pow-prod-down add-cube-cbrt
11×prod-exp cbrt-unprod
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r* pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- div-exp flip-- associate-/l* distribute-lft-out-- difference-of-squares
2×frac-times sub-neg pow-plus associate-*r/ associate-/r/ *-commutative div-inv unswap-sqr
1×pow2 clear-num associate-/r* frac-2neg swap-sqr associate-*l/ fma-udef
Counts
4 → 125
Calls
4 calls:
35.0ms
(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
0.0ms
(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
27.0ms
(* (* w r) (* w r))
16.0ms
(/ 2.0 (* r r))

series348.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
164.0ms
(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
59.0ms
(* (* w r) (* w r))
57.0ms
(/ 2.0 (* r r))

simplify1.9s

Counts
137 → 137
Iterations
IterNodes
done5000
23694
1630
0238

prune864.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
0.2b
(/ (/ 2.0 r) r)
0.3b
(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
0.3b
(* (* w r) (* w r))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
91×times-frac
69×add-sqr-sqrt
64×*-un-lft-identity
58×add-cube-cbrt
45×pow1
26×add-cbrt-cube add-exp-log
22×associate-*l*
18×pow-prod-down
13×associate-/l*
10×prod-exp cbrt-unprod
6×prod-diff div-inv
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u cbrt-undiv div-exp associate-*r* pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×associate-/r* flip3-- flip-- distribute-lft-out-- difference-of-squares
2×frac-times sub-neg pow-plus associate-*r/ associate-/r/ *-commutative unswap-sqr
1×pow2 clear-num frac-2neg swap-sqr associate-*l/ fma-udef associate-/l/
Counts
4 → 174
Calls
4 calls:
51.0ms
(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
13.0ms
(/ (/ 2.0 r) r)
0.0ms
(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
30.0ms
(* (* w r) (* w r))

series317.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
49.0ms
(/ (/ 2.0 r) r)
161.0ms
(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
44.0ms
(* (* w r) (* w r))

simplify2.2s

Counts
186 → 186
Iterations
IterNodes
done5000
24490
1872
0335

prune1.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (* (* w r) (* w r)) (expm1 (log1p (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))))) 4.5)
0.3b
(* (* w r) (* w r))
0.3b
(/ 2.0 (* r r))
0.5b
(expm1 (log1p (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
21×add-cbrt-cube add-exp-log
17×pow-prod-down
9×prod-exp cbrt-unprod
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv pow-plus div-exp
1×pow2 expm1-log1p clear-num associate-/r* frac-2neg swap-sqr associate-*r* associate-*l* *-commutative fma-udef div-inv expm1-udef
Counts
4 → 80
Calls
4 calls:
1.0ms
(fma (* (* w r) (* w r)) (expm1 (log1p (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))))) 4.5)
36.0ms
(* (* w r) (* w r))
6.0ms
(/ 2.0 (* r r))
0.0ms
(expm1 (log1p (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))))

series531.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(fma (* (* w r) (* w r)) (expm1 (log1p (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))))) 4.5)
44.0ms
(* (* w r) (* w r))
44.0ms
(/ 2.0 (* r r))
241.0ms
(expm1 (log1p (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))))

simplify1.3s

Counts
92 → 92
Iterations
IterNodes
done5004
21943
1365
0146

prune587.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.3b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (* (* w r) (* w r)) (cbrt (* (* (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))))) 4.5)
0.3b
(* (* w r) (* w r))
0.3b
(/ 2.0 (* r r))
0.5b
(cbrt (* (* (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))))

rewrite531.0ms

Algorithm
rewrite-expression-head
Rules
541×frac-times
251×associate-*r/
216×flip3-- flip--
215×cbrt-div
173×associate-*l/
43×pow1
21×add-cbrt-cube add-exp-log
17×pow-prod-down
9×prod-exp cbrt-unprod
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv pow-plus div-exp
1×cbrt-prod pow2 clear-num associate-/r* frac-2neg pow1/3 swap-sqr associate-*r* associate-*l* pow3 *-commutative rem-cbrt-cube fma-udef div-inv
Counts
4 → 296
Calls
4 calls:
1.0ms
(fma (* (* w r) (* w r)) (cbrt (* (* (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))))) 4.5)
42.0ms
(* (* w r) (* w r))
11.0ms
(/ 2.0 (* r r))
447.0ms
(cbrt (* (* (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))))

series508.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(fma (* (* w r) (* w r)) (cbrt (* (* (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))))) 4.5)
60.0ms
(* (* w r) (* w r))
48.0ms
(/ 2.0 (* r r))
134.0ms
(cbrt (* (* (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))))

simplify1.8s

Counts
308 → 308
Iterations
IterNodes
done5001
12400
0902

prune1.9s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.3b

regimes388.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done24
124
020

end0.0ms

sample4.2s

Algorithm
intervals
Results
3.3s17215×body80valid