Details

Time bar (total: 14.9s)

sample64.0ms

Algorithm
intervals
Results
25.0ms288×body80valid
6.0ms78×body80nan

simplify112.0ms

Counts
1 → 1
Iterations
IterNodes
done114
5114
493
368
245
121
012

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.4b

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* z z) (* t a))
5.1b
(* (* x y) z)
9.4b
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
23.7b
(sqrt (- (* z z) (* t a)))

rewrite77.0ms

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×sqrt-div
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 diff-log associate-*l* *-commutative div-inv associate-/l*
Counts
4 → 76
Calls
4 calls:
12.0ms
(- (* z z) (* t a))
15.0ms
(* (* x y) z)
39.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
7.0ms
(sqrt (- (* z z) (* t a)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (* z z) (* t a))
40.0ms
(* (* x y) z)
137.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
78.0ms
(sqrt (- (* z z) (* t a)))

simplify1.6s

Counts
88 → 88
Iterations
IterNodes
done5001
22365
1368
0134

prune681.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (- (* z z) (* t a))) z)
1.0b
(- (* z z) (* t a))
2.7b
(/ (* x y) (/ (sqrt (- (* z z) (* t a))) z))
23.7b
(sqrt (- (* z z) (* t a)))

rewrite74.0ms

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×sqrt-div 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 diff-log associate-/r/
Counts
4 → 132
Calls
4 calls:
27.0ms
(/ (sqrt (- (* z z) (* t a))) z)
12.0ms
(- (* z z) (* t a))
19.0ms
(/ (* x y) (/ (sqrt (- (* z z) (* t a))) z))
7.0ms
(sqrt (- (* z z) (* t a)))

series377.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(/ (sqrt (- (* z z) (* t a))) z)
61.0ms
(- (* z z) (* t a))
117.0ms
(/ (* x y) (/ (sqrt (- (* z z) (* t a))) z))
93.0ms
(sqrt (- (* z z) (* t a)))

simplify2.1s

Counts
144 → 144
Iterations
IterNodes
done5000
23679
1574
0210

prune939.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.0b

localize31.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* z z) (* t a))
1.3b
(/ y (/ (sqrt (- (* z z) (* t a))) z))
2.7b
(* x (/ y (/ (sqrt (- (* z z) (* t a))) z)))
23.7b
(sqrt (- (* z z) (* t a)))

rewrite103.0ms

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×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 diff-log pow-prod-down associate-*r/ *-commutative
Counts
4 → 227
Calls
4 calls:
12.0ms
(- (* z z) (* t a))
19.0ms
(/ y (/ (sqrt (- (* z z) (* t a))) z))
43.0ms
(* x (/ y (/ (sqrt (- (* z z) (* t a))) z)))
7.0ms
(sqrt (- (* z z) (* t a)))

series358.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (* z z) (* t a))
85.0ms
(/ y (/ (sqrt (- (* z z) (* t a))) z))
116.0ms
(* x (/ y (/ (sqrt (- (* z z) (* t a))) z)))
89.0ms
(sqrt (- (* z z) (* t a)))

simplify1.0s

Counts
239 → 239
Iterations
IterNodes
done5000
1954
0330

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* z z) (* t a))
4.6b
(* x (/ y (sqrt (- (* z z) (* t a)))))
7.8b
(* (* x (/ y (sqrt (- (* z z) (* t a))))) z)
23.7b
(sqrt (- (* z z) (* t a)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
27×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×add-log-exp
4×sqrt-div associate-*l* pow-prod-down
3×flip3-- flip-- unswap-sqr
2×cbrt-undiv div-exp associate-*r/ associate-/r/ *-commutative
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log associate-*l/ div-inv
Counts
4 → 92
Calls
4 calls:
6.0ms
(- (* z z) (* t a))
31.0ms
(* x (/ y (sqrt (- (* z z) (* t a)))))
79.0ms
(* (* x (/ y (sqrt (- (* z z) (* t a))))) z)
11.0ms
(sqrt (- (* z z) (* t a)))

series429.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- (* z z) (* t a))
129.0ms
(* x (/ y (sqrt (- (* z z) (* t a)))))
144.0ms
(* (* x (/ y (sqrt (- (* z z) (* t a))))) z)
101.0ms
(sqrt (- (* z z) (* t a)))

simplify1.6s

Counts
104 → 104
Iterations
IterNodes
done5001
22297
1452
0164

prune567.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 4.0b

regimes686.0ms

Accuracy

78.4% (4.4b remaining)

Error of 7.6b against oracle of 3.2b and baseline of 23.5b

bsearch130.0ms

Steps
ItersRangePoint
8
2.102189781311534e-06
0.007353525239946609
0.007263648305243834
9
-2.0853333964574043e+66
-6.594765004499323e+58
-2.1069764153509517e+65

simplify10.0ms

Iterations
IterNodes
done27
227
124
020

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s8822×body80valid
192.0ms2998×body80nan