Details

Time bar (total: 17.2s)

sample33.0ms

Algorithm
intervals
Results
17.0ms286×body80valid

simplify153.0ms

Counts
1 → 1
Iterations
IterNodes
done203
8203
7201
6182
5156
4117
374
242
119
010

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
5.5b
(* (/ 2.0 (- y t)) (/ x z))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
28×add-cube-cbrt
21×associate-*l*
16×add-cbrt-cube add-exp-log
13×associate-*r*
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv associate-/r* div-exp
4×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×div-inv associate-/l*
2×flip3-- flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 95
Calls
2 calls:
10.0ms
(/ 2.0 (- y t))
45.0ms
(* (/ 2.0 (- y t)) (/ x z))

series210.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ 2.0 (- y t))
148.0ms
(* (/ 2.0 (- y t)) (/ x z))

simplify1.4s

Counts
101 → 101
Iterations
IterNodes
done5002
21469
1453
0159

prune503.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(* (/ 2.0 (- y t)) x)
5.1b
(* (* (/ 2.0 (- y t)) x) (/ 1 z))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt add-exp-log
44×*-un-lft-identity
40×times-frac
31×add-cbrt-cube
30×add-cube-cbrt
22×associate-*l* prod-exp
16×associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv distribute-lft-out-- difference-of-squares
5×associate-/r*
4×pow-prod-down associate-*l/ associate-/r/
3×rec-exp 1-exp div-inv associate-/l* add-log-exp
2×flip3-- *-commutative flip-- unswap-sqr
1×frac-times clear-num frac-2neg associate-*r/ un-div-inv
Counts
3 → 123
Calls
3 calls:
8.0ms
(/ 2.0 (- y t))
24.0ms
(* (/ 2.0 (- y t)) x)
41.0ms
(* (* (/ 2.0 (- y t)) x) (/ 1 z))

series292.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ 2.0 (- y t))
105.0ms
(* (/ 2.0 (- y t)) x)
132.0ms
(* (* (/ 2.0 (- y t)) x) (/ 1 z))

simplify2.1s

Counts
132 → 132
Iterations
IterNodes
done5000
21554
1501
0191

prune578.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (/ (/ x z) (- y t)))
5.5b
(/ (/ x z) (- y t))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
171×add-sqr-sqrt
162×*-un-lft-identity
108×add-cube-cbrt
71×associate-*r*
27×distribute-lft-out-- difference-of-squares
16×add-cbrt-cube add-exp-log
13×div-inv associate-/l*
6×cbrt-undiv div-exp
5×associate-/r*
4×pow1 associate-/r/
3×associate-*l* prod-exp cbrt-unprod unswap-sqr
2×flip3-- flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
2 → 193
Calls
2 calls:
38.0ms
(* 2.0 (/ (/ x z) (- y t)))
14.0ms
(/ (/ x z) (- y t))

series137.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* 2.0 (/ (/ x z) (- y t)))
70.0ms
(/ (/ x z) (- y t))

simplify1.8s

Counts
199 → 199
Iterations
IterNodes
done5000
22319
1749
0274

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (/ 1 (/ (- y t) (/ x z))))
0.7b
(/ 1 (/ (- y t) (/ x z)))
5.3b
(/ (- y t) (/ x z))

rewrite327.0ms

Algorithm
rewrite-expression-head
Rules
1321×times-frac
778×add-sqr-sqrt
758×*-un-lft-identity
545×add-cube-cbrt
215×associate-*r*
105×distribute-lft-out-- difference-of-squares
83×associate-/r*
61×add-exp-log
51×div-inv
33×div-exp
31×add-cbrt-cube
15×cbrt-undiv
10×prod-exp associate-/r/
8×associate-/l*
7×unswap-sqr
6×pow1 rec-exp 1-exp
4×cbrt-unprod
3×associate-*l* add-log-exp
2×clear-num frac-2neg associate-/l/
1×flip3-- div-sub pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip flip-- inv-pow
Counts
3 → 659
Calls
3 calls:
179.0ms
(* 2.0 (/ 1 (/ (- y t) (/ x z))))
37.0ms
(/ 1 (/ (- y t) (/ x z)))
17.0ms
(/ (- y t) (/ x z))

series428.0ms

Counts
3 → 9
Calls
3 calls:
175.0ms
(* 2.0 (/ 1 (/ (- y t) (/ x z))))
159.0ms
(/ 1 (/ (- y t) (/ x z)))
94.0ms
(/ (- y t) (/ x z))

simplify2.6s

Counts
668 → 668
Iterations
IterNodes
done5001
12345
0755

prune3.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes401.0ms

Accuracy

56.2% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 5.5b

bsearch101.0ms

Steps
ItersRangePoint
8
9.650279990080732e+73
5.983110960818372e+78
1.3965435926136263e+74
9
-4.17042468654624e+33
-2.4022715611435355e+26
-7.552890723046847e+26

simplify6.0ms

Iterations
IterNodes
done30
130
023

end0.0ms

sample829.0ms

Algorithm
intervals
Results
513.0ms8750×body80valid