Details

Time bar (total: 10.5s)

sample40.0ms

Algorithm
intervals
Results
13.0ms270×body80valid

simplify177.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3549
4779
51009
61209
71309
81399
done1399

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.0b
(/ (* x (- y z)) (- t z))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
33.0ms
(* x (- y z))
43.0ms
(/ (* x (- y z)) (- t z))

series123.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (- y z))
84.0ms
(/ (* x (- y z)) (- t z))

simplify2.3s

Counts
61 → 61
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
0105599
1264575
2863501
33948501
done5000501

prune159.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.3b
(* x (/ (- y z) (- t z)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
31.0ms
(/ (- y z) (- t z))
71.0ms
(* x (/ (- y z) (- t z)))

series177.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ (- y z) (- t z))
102.0ms
(* x (/ (- y z) (- t z)))

simplify1.7s

Counts
108 → 108
Iterations

Useful iterations: 2 (180.0ms)

IterNodesCost
01381319
13451247
29501165
328121165
done50011165

prune276.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.4b
(/ x (/ (- t z) (- y z)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
32.0ms
(/ (- t z) (- y z))
39.0ms
(/ x (/ (- t z) (- y z)))

series228.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ (- t z) (- y z))
164.0ms
(/ x (/ (- t z) (- y z)))

simplify1.2s

Counts
200 → 200
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02703488
16163268
222263166
done50013160

prune514.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- y z))
0.5b
(/ 1 (/ (- t z) (* x (- y z))))
9.9b
(/ (- t z) (* x (- y z)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
43×add-sqr-sqrt
41×*-un-lft-identity
31×add-exp-log
27×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*r/ associate-/r*
11×associate-/r/
8×associate-/l*
7×cbrt-undiv flip3-- flip-- distribute-lft-out-- difference-of-squares
6×pow1 div-inv
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num associate-/l/
1×pow-flip div-sub pow-prod-down *-commutative inv-pow unswap-sqr
Counts
3 → 128
Calls
3 calls:
32.0ms
(* x (- y z))
46.0ms
(/ 1 (/ (- t z) (* x (- y z))))
41.0ms
(/ (- t z) (* x (- y z)))

series338.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* x (- y z))
202.0ms
(/ 1 (/ (- t z) (* x (- y z))))
94.0ms
(/ (- t z) (* x (- y z)))

simplify1.1s

Counts
137 → 137
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01961907
14581713
213261501
done50011455

prune258.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

4.1% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.2b

bsearch73.0ms

Steps
ItersRangePoint
9
1.0657150563594859e+26
1.7084993271036838e+35
1.1815107360509813e+26
4
-8.818243383610927e-199
-4.727723571273103e-199
-5.089780698062091e-199

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01837
12529
done2529

end0.0ms

sample1.2s

Algorithm
intervals
Results
756.0ms8711×body80valid