Details

Time bar (total: 21.1s)

sample47.0ms

Algorithm
intervals
Results
26.0ms484×body80valid

simplify23.0ms

Counts
1 → 1
Iterations
IterNodes
done60
460
358
244
124
011

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
0.4b
(* (/ z t) (/ z t))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×*-un-lft-identity add-cube-cbrt
14×add-cbrt-cube add-exp-log
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 pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
2 → 79
Calls
2 calls:
0.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
31.0ms
(* (/ z t) (/ z t))

series161.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
41.0ms
(* (/ z t) (/ z t))

simplify2.0s

Counts
85 → 85
Iterations
IterNodes
done5000
22893
1425
0129

prune524.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.1s

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt z)
291.0ms
(cbrt t)
315.0ms
(cbrt t)
240.0ms
(cbrt t)

simplify945.0ms

Counts
64 → 64
Iterations
IterNodes
done5000
41995
3668
2215
179
046

prune443.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
8.3b
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
8.3b
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
8.3b
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
1.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
1.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
1.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

series770.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
176.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
209.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
183.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

simplify6.8s

Counts
93 → 93
Iterations
IterNodes
done5001
34712
2713
1208
097

prune868.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

6.5b
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
6.5b
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
8.3b
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
8.3b
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-prod pow1 sqrt-prod
4×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3 fma-udef hypot-def
Counts
4 → 58
Calls
4 calls:
1.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
1.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
1.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
1.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

series596.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
118.0ms
(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
173.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
214.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

simplify1.8s

Counts
70 → 70
Iterations
IterNodes
done5000
42887
3663
2229
1113
062

prune480.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 0.0b

regimes2.1s

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
08

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.5s15246×body80valid