Details

Time bar (total: 18.6s)

sample77.0ms

Algorithm
intervals
Results
28.0ms344×body80nan
27.0ms312×body80valid

simplify5.4s

Counts
1 → 1
Iterations
IterNodes
done5000
94530
81155
7370
6204
5132
461
336
221
114
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.4b
(- (* y y) (* z z))
23.8b
(sqrt (- (* y y) (* z z)))

rewrite316.0ms

Algorithm
rewrite-expression-head
Rules
162×add-sqr-sqrt
75×difference-of-squares
67×sqrt-prod
43×*-un-lft-identity
36×swap-sqr associate-*r*
32×unswap-sqr
31×*-commutative
15×associate-*l* distribute-lft-out--
7×add-cube-cbrt
6×pow1
5×add-cbrt-cube add-exp-log add-log-exp
4×sqrt-div
3×flip3-- insert-posit16 flip--
2×associate-*r/
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp cbrt-unprod
Counts
3 → 144
Calls
3 calls:
180.0ms
(* x (sqrt (- (* y y) (* z z))))
64.0ms
(- (* y y) (* z z))
65.0ms
(sqrt (- (* y y) (* z z)))

series226.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(* x (sqrt (- (* y y) (* z z))))
59.0ms
(- (* y y) (* z z))
69.0ms
(sqrt (- (* y y) (* z z)))

simplify2.5s

Counts
153 → 153
Iterations
IterNodes
done5000
33868
2960
1313
0137

prune481.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (sqrt (* (- y z) (+ z y))))
23.8b
(sqrt (* (- y z) (+ z y)))

rewrite324.0ms

Algorithm
rewrite-expression-head
Rules
32×sqrt-prod
28×add-sqr-sqrt
26×associate-*r*
18×*-un-lft-identity
16×sqrt-div
13×associate-*l*
12×associate-*r/
10×add-cube-cbrt
8×frac-times
7×pow1 unswap-sqr
6×flip3-+ flip3-- flip-+ flip--
4×add-cbrt-cube associate-*l/ add-exp-log
3×*-commutative
2×rem-sqrt-square sqrt-pow1 pow-prod-down insert-posit16 distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares
1×pow1/2 prod-exp cbrt-unprod
Counts
2 → 80
Calls
2 calls:
239.0ms
(* x (sqrt (* (- y z) (+ z y))))
81.0ms
(sqrt (* (- y z) (+ z y)))

series213.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(* x (sqrt (* (- y z) (+ z y))))
91.0ms
(sqrt (* (- y z) (+ z y)))

simplify1.1s

Counts
86 → 86
Iterations
IterNodes
done5000
21055
1331
0146

prune393.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt (- y z))) (sqrt (* (cbrt (- y z)) (+ z y))))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
9.5b
(sqrt (* (cbrt (- y z)) (+ z y)))

rewrite347.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×sqrt-prod
30×associate-*r*
28×*-un-lft-identity
24×cbrt-prod
19×associate-*l*
16×cbrt-div sqrt-div add-cube-cbrt
12×associate-*r/ unswap-sqr
9×pow1
8×frac-times flip3-- flip--
6×flip3-+ add-cbrt-cube add-exp-log flip-+
4×associate-*l/ insert-posit16 distribute-lft-out-- add-log-exp difference-of-squares
3×rem-sqrt-square *-commutative
2×sqrt-pow1 pow1/3 pow-prod-down distribute-lft-out
1×pow1/2 prod-exp cbrt-unprod
Counts
4 → 122
Calls
4 calls:
207.0ms
(* (fabs (cbrt (- y z))) (sqrt (* (cbrt (- y z)) (+ z y))))
8.0ms
(cbrt (- y z))
8.0ms
(cbrt (- y z))
115.0ms
(sqrt (* (cbrt (- y z)) (+ z y)))

series845.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (fabs (cbrt (- y z))) (sqrt (* (cbrt (- y z)) (+ z y))))
222.0ms
(cbrt (- y z))
227.0ms
(cbrt (- y z))
194.0ms
(sqrt (* (cbrt (- y z)) (+ z y)))

simplify2.4s

Counts
134 → 134
Iterations
IterNodes
done5001
22194
1726
0291

prune897.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes178.0ms

Accuracy

94.1% (0.6b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 11.1b

bsearch345.0ms

Steps
ItersRangePoint
11
-3.956817728166957e-219
-2.9605876172275946e-253
-3.0360529674537215e-253

simplify2.0ms

Iterations
IterNodes
done14
214
111
08

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s10187×body80nan
925.0ms10047×body80valid