Details

Time bar (total: 37.6s)

sample81.0ms

Algorithm
intervals
Results
25.0ms286×body80valid
7.0ms98×body80nan

simplify285.0ms

Counts
1 → 1
Iterations
IterNodes
done106
6106
597
477
358
237
122
012

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize127.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* z z) (* t a))
4.3b
(* (* x y) z)
10.6b
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
25.9b
(sqrt (- (* z z) (* t a)))

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
18×add-cbrt-cube add-exp-log
11×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cube-cbrt
9×sqrt-prod
6×associate-/r* times-frac prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u
3×cbrt-undiv flip3-- div-exp associate-*r* pow-prod-down flip--
2×associate-/r/
1×rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log associate-*l* prod-diff *-commutative div-inv associate-/l*
Counts
4 → 90
Calls
4 calls:
20.0ms
(- (* z z) (* t a))
74.0ms
(* (* x y) z)
132.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
51.0ms
(sqrt (- (* z z) (* t a)))

series488.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(- (* z z) (* t a))
36.0ms
(* (* x y) z)
272.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
121.0ms
(sqrt (- (* z z) (* t a)))

simplify3.7s

Counts
102 → 102
Iterations
IterNodes
done5003
21504
1384
0150

prune1.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.8b

localize141.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (- (* z z) (* t a))) z)
0.8b
(- (* z z) (* t a))
4.1b
(/ (* x y) (/ (sqrt (- (* z z) (* t a))) z))
25.9b
(sqrt (- (* z z) (* t a)))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
47×add-sqr-sqrt
46×*-un-lft-identity add-cube-cbrt
33×sqrt-prod
25×associate-/r*
18×add-cbrt-cube add-exp-log
7×cbrt-undiv div-exp associate-/l*
6×add-log-exp
5×pow1
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u div-inv
3×flip3-- flip--
2×clear-num frac-2neg prod-exp cbrt-unprod associate-/l/
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 fma-neg diff-log prod-diff associate-/r/
Counts
4 → 146
Calls
4 calls:
56.0ms
(/ (sqrt (- (* z z) (* t a))) z)
28.0ms
(- (* z z) (* t a))
68.0ms
(/ (* x y) (/ (sqrt (- (* z z) (* t a))) z))
57.0ms
(sqrt (- (* z z) (* t a)))

series539.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(/ (sqrt (- (* z z) (* t a))) z)
77.0ms
(- (* z z) (* t a))
201.0ms
(/ (* x y) (/ (sqrt (- (* z z) (* t a))) z))
121.0ms
(sqrt (- (* z z) (* t a)))

simplify4.4s

Counts
158 → 158
Iterations
IterNodes
done5002
22008
1588
0226

prune2.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.3b

localize113.0ms

Local error

Found 4 expressions with local error:

0.6b
(* x (/ y (/ (sqrt (- (* z z) (* t a))) z)))
0.8b
(- (* z z) (* t a))
1.9b
(/ y (/ (sqrt (- (* z z) (* t a))) z))
25.9b
(sqrt (- (* z z) (* t a)))

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
263×times-frac
157×add-sqr-sqrt
143×*-un-lft-identity add-cube-cbrt
71×associate-*r*
67×sqrt-prod
22×associate-/r*
18×add-cbrt-cube add-exp-log
9×div-inv
7×pow1
6×cbrt-undiv div-exp add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u unswap-sqr
3×associate-*l* prod-exp cbrt-unprod associate-/l*
2×flip3-- sqrt-div associate-/r/ flip--
1×rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down associate-*r/ *-commutative
Counts
4 → 241
Calls
4 calls:
149.0ms
(* x (/ y (/ (sqrt (- (* z z) (* t a))) z)))
27.0ms
(- (* z z) (* t a))
38.0ms
(/ y (/ (sqrt (- (* z z) (* t a))) z))
38.0ms
(sqrt (- (* z z) (* t a)))

series621.0ms

Counts
4 → 12
Calls
4 calls:
305.0ms
(* x (/ y (/ (sqrt (- (* z z) (* t a))) z)))
80.0ms
(- (* z z) (* t a))
135.0ms
(/ y (/ (sqrt (- (* z z) (* t a))) z))
101.0ms
(sqrt (- (* z z) (* t a)))

simplify6.2s

Counts
253 → 253
Iterations
IterNodes
done5000
23101
1957
0346

prune3.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.3b

localize127.0ms

Local error

Found 4 expressions with local error:

0.6b
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
0.8b
(- (* z z) (* t a))
2.0b
(* y (/ z (sqrt (- (* z z) (* t a)))))
25.9b
(sqrt (- (* z z) (* t a)))

rewrite386.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×associate-*r*
20×*-un-lft-identity times-frac add-cube-cbrt
18×add-cbrt-cube add-exp-log
13×sqrt-prod
12×pow1
7×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
4×expm1-log1p-u sqrt-div pow-prod-down insert-posit16 log1p-expm1-u
3×flip3-- associate-*r/ flip-- unswap-sqr
2×cbrt-undiv div-exp associate-/r/ *-commutative
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 fma-neg diff-log prod-diff div-inv
Counts
4 → 106
Calls
4 calls:
153.0ms
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
41.0ms
(- (* z z) (* t a))
154.0ms
(* y (/ z (sqrt (- (* z z) (* t a)))))
31.0ms
(sqrt (- (* z z) (* t a)))

series559.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
63.0ms
(- (* z z) (* t a))
167.0ms
(* y (/ z (sqrt (- (* z z) (* t a)))))
110.0ms
(sqrt (- (* z z) (* t a)))

simplify3.7s

Counts
118 → 118
Iterations
IterNodes
done5001
21408
1441
0177

prune1.8s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.3b

regimes3.4s

Accuracy

84.2% (3.1b remaining)

Error of 6.5b against oracle of 3.4b and baseline of 22.7b

bsearch217.0ms

Steps
ItersRangePoint
6
4.976139366752269e+101
2.1828196885728892e+102
1.0718201324596577e+102
10
-1.7445526317241335e+161
-1.6517060916622868e+149
-7.751960138449552e+153

simplify20.0ms

Iterations
IterNodes
done38
238
136
027

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.3s8868×body80valid
324.0ms2919×body80nan