Details

Time bar (total: 12.0s)

sample24.0ms

Algorithm
intervals
Results
11.0ms273×body80valid

simplify110.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3549
4779
51009
61209
71309
81399
done1399

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
14.9b
(/ (* x (- y z)) (- t z))

rewrite46.0ms

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:
20.0ms
(* x (- y z))
24.0ms
(/ (* x (- y z)) (- t z))

series113.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
75.0ms
(/ (* x (- y z)) (- t z))

simplify2.1s

Counts
61 → 61
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
0105599
1264575
2863501
33948501
done5000501

prune146.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.1b
(/ x (/ (- t z) (- y z)))

rewrite84.0ms

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:
36.0ms
(/ (- t z) (- y z))
31.0ms
(/ x (/ (- t z) (- y z)))

series234.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- t z) (- y z))
181.0ms
(/ x (/ (- t z) (- y z)))

simplify1.3s

Counts
200 → 200
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02703488
16163268
222263166
done50013160

prune478.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- y z))
0.0b
(/ z (- y z))
2.1b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
174×*-un-lft-identity
156×times-frac
134×add-sqr-sqrt
56×distribute-lft-out--
54×add-cube-cbrt
32×difference-of-squares
28×associate-/r*
24×associate-/r/
12×distribute-rgt-out--
11×flip3-- flip-- div-inv
9×add-exp-log add-cbrt-cube associate-/l*
3×pow1 cbrt-undiv frac-2neg div-exp clear-num add-log-exp
1×frac-sub sub-div
Counts
3 → 165
Calls
3 calls:
16.0ms
(/ t (- y z))
16.0ms
(/ z (- y z))
154.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series236.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ t (- y z))
46.0ms
(/ z (- y z))
157.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify1.8s

Counts
174 → 174
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02642770
14912585
212952515
332042373
done50002339

prune464.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- y z))
0.0b
(/ 1 (- y z))
0.1b
(* z (/ 1 (- y z)))
2.1b
(/ x (- (/ t (- y z)) (* z (/ 1 (- y z)))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
66×*-un-lft-identity
59×times-frac
43×add-cube-cbrt
21×add-exp-log associate-*r*
15×add-cbrt-cube
14×associate-/r*
12×associate-/r/
11×distribute-lft-out-- difference-of-squares
9×associate-/l*
8×div-inv
7×pow1
6×div-exp
4×cbrt-undiv flip3-- distribute-rgt-out-- prod-exp flip-- add-log-exp
3×frac-2neg associate-*r/ associate-*l* clear-num un-div-inv unswap-sqr
2×rec-exp 1-exp frac-sub cbrt-unprod sub-div
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 159
Calls
4 calls:
16.0ms
(/ t (- y z))
17.0ms
(/ 1 (- y z))
41.0ms
(* z (/ 1 (- y z)))
57.0ms
(/ x (- (/ t (- y z)) (* z (/ 1 (- y z)))))

series296.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ t (- y z))
49.0ms
(/ 1 (- y z))
64.0ms
(* z (/ 1 (- y z)))
135.0ms
(/ x (- (/ t (- y z)) (* z (/ 1 (- y z)))))

simplify2.5s

Counts
171 → 171
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02232051
14621709
210741587
327681509
done50011506

prune396.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

-1.1% (2.2b remaining)

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

bsearch51.0ms

Steps
ItersRangePoint
9
-7.918529426048614e+40
-8.136008040048732e+33
-1.5118885371134949e+40

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01728
11928
done1928

end0.0ms

sample1.2s

Algorithm
intervals
Results
725.0ms8721×body80valid