Details

Time bar (total: 7.8s)

sample18.0ms

Algorithm
intervals
Results
7.0ms279×body80valid

simplify84.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2299
3539
4759
5989
61189
71289
81379
done1379

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.1b
(/ (* x (- y z)) (- t z))

rewrite21.0ms

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:
10.0ms
(* x (- y z))
10.0ms
(/ (* x (- y z)) (- t z))

series99.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (- y z))
65.0ms
(/ (* x (- y z)) (- t z))

simplify1.4s

Counts
61 → 61
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0105599
1264575
2847501
33535501
done5000499

prune120.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.9b
(/ x (/ (- t z) (- y z)))

rewrite40.0ms

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:
14.0ms
(/ (- t z) (- y z))
15.0ms
(/ x (/ (- t z) (- y z)))

series199.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- t z) (- y z))
152.0ms
(/ x (/ (- t z) (- y z)))

simplify734.0ms

Counts
200 → 200
Iterations

Useful iterations: 2 (254.0ms)

IterNodesCost
02703488
16343268
222083166
done50003166

prune424.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- y z))
0.0b
(/ z (- y z))
1.9b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite100.0ms

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:
5.0ms
(/ t (- y z))
5.0ms
(/ z (- y z))
81.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series181.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ t (- y z))
48.0ms
(/ z (- y z))
104.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify1.9s

Counts
174 → 174
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02642770
14932585
212932511
341552373
done50012371

prune403.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:
11.0ms
(/ (- y z) (- t z))
29.0ms
(* x (/ (- y z) (- t z)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- y z) (- t z))
69.0ms
(* x (/ (- y z) (- t z)))

simplify1.1s

Counts
108 → 108
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01381319
13501247
29171165
327791165
done50001163

prune211.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes95.0ms

Accuracy

-15.9% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.0b

bsearch76.0ms

Steps
ItersRangePoint
10
-8.572863479431592e-261
-2.5998418277454444e-272
-1.7069294686818465e-261
8
-7.482789825668885e+35
-5.079470124687608e+32
-1.390173372602323e+33

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01843
12231
done2231

end0.0ms

sample460.0ms

Algorithm
intervals
Results
238.0ms8726×body80valid