Details

Time bar (total: 31.6s)

sample86.0ms

Algorithm
intervals
Results
46.0ms530×body80valid

simplify71.0ms

Counts
1 → 1
Iterations
IterNodes
done56
456
350
244
124
011

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
2 → 79
Calls
2 calls:
1.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
48.0ms
(* (/ z t) (/ z t))

series280.0ms

Counts
2 → 6
Calls
2 calls:
211.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
69.0ms
(* (/ z t) (/ z t))

simplify5.5s

Counts
85 → 85
Iterations
IterNodes
done5077
34065
21425
1415
0129

prune833.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.4b
(* (sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
5.5b
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
5.5b
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
42×add-cube-cbrt *-un-lft-identity
40×times-frac
28×pow1
24×sqrt-prod
21×swap-sqr
19×associate-*r* associate-*l*
18×add-exp-log add-cbrt-cube
10×sqrt-pow1 pow1/2
8×unswap-sqr
6×pow-prod-up
5×prod-exp cbrt-unprod
4×cbrt-undiv expm1-log1p-u div-exp pow-prod-down pow-sqr log1p-expm1-u div-inv add-log-exp
2×pow2 rem-sqrt-square pow-plus *-commutative fma-udef hypot-def
1×frac-times sqrt-unprod associate-*r/ associate-*l/ rem-square-sqrt
Counts
4 → 152
Calls
4 calls:
49.0ms
(* (/ z t) (/ z t))
37.0ms
(* (sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
3.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
4.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

series681.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (/ z t) (/ z t))
218.0ms
(* (sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
200.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
200.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

simplify3.6s

Counts
164 → 164
Iterations
IterNodes
done5001
21578
1506
0167

prune1.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize139.0ms

Local error

Found 4 expressions with local error:

2.4b
(sqrt (sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
5.5b
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
5.5b
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
5.5b
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
19×sqrt-prod
14×add-sqr-sqrt
9×pow1 add-cube-cbrt *-un-lft-identity
7×sqrt-pow1
5×rem-sqrt-square pow1/2
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×fma-udef hypot-def
Counts
4 → 69
Calls
4 calls:
5.0ms
(sqrt (sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
3.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
3.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
3.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

series866.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(sqrt (sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
190.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
194.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
192.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

simplify4.4s

Counts
81 → 81
Iterations
IterNodes
done5001
42809
3768
2270
1126
070

prune984.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

2.4b
(sqrt (sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
5.5b
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
5.5b
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
5.5b
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×sqrt-prod
14×add-sqr-sqrt
9×pow1 add-cube-cbrt *-un-lft-identity
7×sqrt-pow1
5×rem-sqrt-square pow1/2
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×fma-udef hypot-def
Counts
4 → 69
Calls
4 calls:
6.0ms
(sqrt (sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
4.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
4.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
4.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

series849.0ms

Counts
4 → 12
Calls
4 calls:
286.0ms
(sqrt (sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
184.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
192.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
187.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

simplify4.4s

Counts
81 → 81
Iterations
IterNodes
done5001
42809
3768
2270
1126
070

prune979.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes2.6s

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done14
114
012

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.6s15535×body80valid