Details

Time bar (total: 7.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms277×body80valid

simplify89.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2299
3539
4759
5989
61189
71289
81389
done1389

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.0b
(/ (* x (- y z)) (- t z))

rewrite20.0ms

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:
9.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) (- t z))

series97.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (- y z))
63.0ms
(/ (* x (- y z)) (- t z))

simplify1.0s

Counts
61 → 61
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
0105599
1264575
21032501
done5000501

prune123.0ms

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

rewrite41.0ms

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:
10.0ms
(/ (- y z) (- t z))
26.0ms
(* x (/ (- y z) (- t z)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- y z) (- t z))
65.0ms
(* x (/ (- y z) (- t z)))

simplify1.8s

Counts
108 → 108
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01381319
13501247
211191165
343191165
done50001163

prune211.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.8b
(/ x (/ (- t z) (- y z)))

rewrite35.0ms

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:
10.0ms
(/ (- t z) (- y z))
14.0ms
(/ x (/ (- t z) (- y z)))

series202.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- t z) (- y z))
150.0ms
(/ x (/ (- t z) (- y z)))

simplify975.0ms

Counts
200 → 200
Iterations

Useful iterations: 2 (267.0ms)

IterNodesCost
02703488
16343268
224173166
done50013166

prune427.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* (- t z) (/ 1 (- y z)))
1.8b
(/ x (* (- t z) (/ 1 (- y z))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r/
8×prod-exp distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv flip3-- associate-/r* flip-- associate-/l*
5×associate-*l*
4×frac-times associate-*l/ cbrt-unprod
3×rec-exp 1-exp div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 122
Calls
3 calls:
5.0ms
(/ 1 (- y z))
22.0ms
(* (- t z) (/ 1 (- y z)))
9.0ms
(/ x (* (- t z) (/ 1 (- y z))))

series238.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (- y z))
53.0ms
(* (- t z) (/ 1 (- y z)))
151.0ms
(/ x (* (- t z) (/ 1 (- y z))))

simplify941.0ms

Counts
131 → 131
Iterations

Useful iterations: done (937.0ms)

IterNodesCost
01711519
14071246
213221080
done50011078

prune405.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes103.0ms

Accuracy

-13.7% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.1b

bsearch73.0ms

Steps
ItersRangePoint
9
2.0192718685294438e-110
1.8286677674475294e-105
5.4381737647266115e-107
8
-1.2756224717457362e-221
-2.7568303420153477e-224
-9.512737302380148e-222

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01837
12527
done2527

end0.0ms

sample437.0ms

Algorithm
intervals
Results
226.0ms8720×body80valid