Details

Time bar (total: 13.6s)

sample23.0ms

Algorithm
intervals
Results
10.0ms281×body80valid

simplify467.0ms

Counts
1 → 1
Iterations
IterNodes
done241
8241
7230
6201
5169
4123
380
244
120
010

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 2 expressions with local error:

1.4b
(- (* y z) (* t z))
3.6b
(/ (* x 2.0) (- (* y z) (* t z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube add-exp-log
4×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt add-log-exp
3×distribute-rgt-out--
2×expm1-log1p-u pow1 cbrt-undiv flip3-- div-exp associate-/r/ log1p-expm1-u flip--
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-diff prod-exp cbrt-unprod div-inv associate-/l*
Counts
2 → 44
Calls
2 calls:
11.0ms
(- (* y z) (* t z))
23.0ms
(/ (* x 2.0) (- (* y z) (* t z)))

series146.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (* y z) (* t z))
94.0ms
(/ (* x 2.0) (- (* y z) (* t z)))

simplify1.2s

Counts
50 → 50
Iterations
IterNodes
done5000
2909
1236
087

prune285.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 2.0 z) (- y t))
3.3b
(* x (/ (/ 2.0 z) (- y t)))

rewrite98.0ms

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×expm1-log1p-u flip3-- log1p-expm1-u flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
2 → 197
Calls
2 calls:
15.0ms
(/ (/ 2.0 z) (- y t))
70.0ms
(* x (/ (/ 2.0 z) (- y t)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (/ 2.0 z) (- y t))
60.0ms
(* x (/ (/ 2.0 z) (- y t)))

simplify1.9s

Counts
203 → 203
Iterations
IterNodes
done5001
22424
1754
0278

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
28×add-cube-cbrt
21×associate-*r*
16×add-cbrt-cube add-exp-log
13×associate-*l*
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×expm1-log1p-u flip3-- log1p-expm1-u flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 99
Calls
2 calls:
19.0ms
(/ 2.0 (- y t))
68.0ms
(* (/ x z) (/ 2.0 (- y t)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ 2.0 (- y t))
86.0ms
(* (/ x z) (/ 2.0 (- y t)))

simplify1.6s

Counts
105 → 105
Iterations
IterNodes
done5001
21515
1429
0157

prune455.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ z (/ (* 2.0 x) (- y t))))
5.4b
(/ z (/ (* 2.0 x) (- y t)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
359×times-frac
165×add-sqr-sqrt *-un-lft-identity
133×add-cube-cbrt
49×associate-/r*
45×add-exp-log
38×associate-/r/
28×div-exp
25×add-cbrt-cube
22×div-inv
16×flip3-- flip-- distribute-lft-out-- difference-of-squares
14×cbrt-undiv
6×associate-/l*
4×rec-exp 1-exp prod-exp
3×pow1
2×expm1-log1p-u clear-num frac-2neg cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 252
Calls
2 calls:
39.0ms
(/ 1 (/ z (/ (* 2.0 x) (- y t))))
20.0ms
(/ z (/ (* 2.0 x) (- y t)))

series221.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ 1 (/ z (/ (* 2.0 x) (- y t))))
134.0ms
(/ z (/ (* 2.0 x) (- y t)))

simplify2.5s

Counts
258 → 258
Iterations
IterNodes
done5014
23991
11123
0403

prune1.6s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes605.0ms

Accuracy

77.9% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 5.2b

bsearch2.0ms

simplify5.0ms

Iterations
IterNodes
done27
127
023

end0.0ms

sample746.0ms

Algorithm
intervals
Results
397.0ms8715×body80valid