Details

Time bar (total: 11.4s)

sample28.0ms

Algorithm
intervals
Results
10.0ms273×body80valid

simplify148.0ms

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: 10.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.6b
(/ (* x (- y z)) (- t z))

rewrite65.0ms

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:
30.0ms
(* x (- y z))
33.0ms
(/ (* x (- y z)) (- t z))

series149.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* x (- y z))
103.0ms
(/ (* x (- y z)) (- t z))

simplify2.5s

Counts
61 → 61
Iterations

Useful iterations: 2 (144.0ms)

IterNodesCost
0105599
1264575
2863501
33948501
done5000501

prune179.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.7b
(* x (/ (- y z) (- t z)))

rewrite101.0ms

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:
33.0ms
(/ (- y z) (- t z))
60.0ms
(* x (/ (- y z) (- t z)))

series171.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ (- y z) (- t z))
100.0ms
(* x (/ (- y z) (- t z)))

simplify1.9s

Counts
108 → 108
Iterations

Useful iterations: 2 (211.0ms)

IterNodesCost
01381319
13451247
29501165
328121165
done50011165

prune239.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.7b
(/ x (/ (- t z) (- y z)))

rewrite81.0ms

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:
34.0ms
(/ (- t z) (- y z))
30.0ms
(/ x (/ (- t z) (- y z)))

series246.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ (- t z) (- y z))
172.0ms
(/ x (/ (- t z) (- y z)))

simplify1.2s

Counts
200 → 200
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02703488
16163268
222263166
done50013160

prune536.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
9.8b
(* (/ x (- t z)) (- y z))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
12.0ms
(/ x (- t z))
52.0ms
(* (/ x (- t z)) (- y z))

series234.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ x (- t z))
192.0ms
(* (/ x (- t z)) (- y z))

simplify2.2s

Counts
93 → 93
Iterations

Useful iterations: 2 (225.0ms)

IterNodesCost
01421025
1341997
21081921
33507921
done5002921

prune222.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

4.9% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.3b

bsearch71.0ms

Steps
ItersRangePoint
9
-2.18846814877946e-261
-3.2700529469739983e-270
-8.57064563000427e-270
7
-1.629756594137548e-33
-9.437501128818057e-35
-1.1536650006708072e-33

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01635
12127
done2127

end0.0ms

sample899.0ms

Algorithm
intervals
Results
417.0ms8720×body80valid