Details

Time bar (total: 15.7s)

sample95.0ms

Algorithm
intervals
Results
35.0ms344×body80nan
33.0ms312×body80valid

simplify5.7s

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

localize15.0ms

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)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×sqrt-prod
7×*-un-lft-identity associate-*r* add-cube-cbrt
6×pow1
5×add-cbrt-cube add-exp-log add-log-exp
4×sqrt-div
3×flip3-- associate-*l* insert-posit16 flip-- difference-of-squares
2×associate-*r/ unswap-sqr
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 57
Calls
3 calls:
42.0ms
(* x (sqrt (- (* y y) (* z z))))
12.0ms
(- (* y y) (* z z))
17.0ms
(sqrt (- (* y y) (* z z)))

series193.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(* x (sqrt (- (* y y) (* z z))))
35.0ms
(- (* y y) (* z z))
75.0ms
(sqrt (- (* y y) (* z z)))

simplify1.6s

Counts
66 → 66
Iterations
IterNodes
done5010
32242
2524
1197
088

prune277.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
12×associate-*r/
8×frac-times
7×pow1
6×add-sqr-sqrt flip3-+ flip3-- flip-+ flip--
4×*-un-lft-identity add-cbrt-cube associate-*r* associate-*l/ add-exp-log add-cube-cbrt
3×associate-*l*
2×sqrt-pow1 pow-prod-down sqrt-prod insert-posit16 add-log-exp
1×pow1/2 prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 48
Calls
2 calls:
64.0ms
(* x (sqrt (* (+ y z) (- y z))))
17.0ms
(sqrt (* (+ y z) (- y z)))

series204.0ms

Counts
2 → 6
Calls
2 calls:
133.0ms
(* x (sqrt (* (+ y z) (- y z))))
71.0ms
(sqrt (* (+ y z) (- y z)))

simplify2.0s

Counts
54 → 54
Iterations
IterNodes
done5024
33557
2762
1214
097

prune288.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune9.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 3 expressions with local error:

10.8b
(* (fabs (* (+ z y) (- y z))) x)
17.3b
(/ (* (fabs (* (+ z y) (- y z))) x) (sqrt (* (- y z) (+ y z))))
23.8b
(sqrt (* (- y z) (+ y z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
10×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
8×frac-times pow1 associate-/r/
7×*-un-lft-identity add-cube-cbrt
6×flip3-+ flip3-- flip-+ flip--
4×associate-/r* times-frac associate-*l/ associate-*r/
3×associate-*r* associate-*l* sqrt-prod insert-posit16 add-log-exp
2×cbrt-undiv sqrt-pow1 div-exp pow-prod-down prod-exp cbrt-unprod
1×clear-num frac-2neg pow1/2 *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 71
Calls
3 calls:
6.0ms
(* (fabs (* (+ z y) (- y z))) x)
18.0ms
(/ (* (fabs (* (+ z y) (- y z))) x) (sqrt (* (- y z) (+ y z))))
9.0ms
(sqrt (* (- y z) (+ y z)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (fabs (* (+ z y) (- y z))) x)
167.0ms
(/ (* (fabs (* (+ z y) (- y z))) x) (sqrt (* (- y z) (+ y z))))
66.0ms
(sqrt (* (- y z) (+ y z)))

simplify1.3s

Counts
80 → 80
Iterations
IterNodes
done5001
21375
1330
0136

prune351.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes212.0ms

Accuracy

98.6% (0.4b remaining)

Error of 0.8b against oracle of 0.4b and baseline of 30.5b

bsearch295.0ms

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

simplify2.0ms

Iterations
IterNodes
done14
214
111
08

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.2s10187×body80nan
883.0ms10047×body80valid