Details

Time bar (total: 35.1s)

sample44.0ms

Algorithm
intervals
Results
21.0ms335×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3459
4889
51459
62019
73869
89199
931169
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z x))
8.0b
(/ (* y (- z x)) t)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
33.0ms
(* y (- z x))
25.0ms
(/ (* y (- z x)) t)

series136.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* y (- z x))
82.0ms
(/ (* y (- z x)) t)

simplify635.0ms

Counts
55 → 55
Iterations

Useful iterations: done (633.0ms)

IterNodesCost
094493
1250473
2968419
done5000399

prune136.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

7.0b
(/ y (/ t (- z x)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
123×times-frac
83×add-sqr-sqrt *-un-lft-identity
59×add-cube-cbrt
21×associate-/r*
12×distribute-lft-out-- difference-of-squares
9×associate-/r/
6×add-exp-log add-cbrt-cube
5×div-inv
4×flip3-- flip--
3×cbrt-undiv div-exp associate-/l*
1×pow1 frac-2neg clear-num add-log-exp
Counts
1 → 102
Calls
1 calls:
20.0ms
(/ y (/ t (- z x)))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ y (/ t (- z x)))

simplify1.4s

Counts
105 → 105
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02131682
15341589
225701515
done50011505

prune359.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- z x))
9.0b
(/ (/ y t) (/ 1 (- z x)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
384×add-sqr-sqrt *-un-lft-identity
292×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
28×add-exp-log
26×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-- flip--
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 372
Calls
2 calls:
13.0ms
(/ 1 (- z x))
54.0ms
(/ (/ y t) (/ 1 (- z x)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ 1 (- z x))
68.0ms
(/ (/ y t) (/ 1 (- z x)))

simplify1.2s

Counts
378 → 378
Iterations

Useful iterations: done (1.2s)

IterNodesCost
05718043
118816811
done50005995

prune753.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z x))
0.6b
(/ (/ 1 1) (/ (/ 1 (- z x)) (/ y t)))
8.7b
(/ (/ 1 (- z x)) (/ y t))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
16019×times-frac
7140×add-sqr-sqrt *-un-lft-identity
5956×add-cube-cbrt
808×div-inv
592×distribute-lft-out-- difference-of-squares
410×associate-/r/
296×associate-/r*
244×add-exp-log
229×div-exp
197×flip3-- flip--
62×1-exp
58×add-cbrt-cube
40×cbrt-undiv
37×associate-/l*
35×rec-exp
4×pow1
3×frac-2neg clear-num add-log-exp
2×associate-/l/
1×pow-flip inv-pow
Counts
3 → 4362
Calls
3 calls:
13.0ms
(/ 1 (- z x))
191.0ms
(/ (/ 1 1) (/ (/ 1 (- z x)) (/ y t)))
38.0ms
(/ (/ 1 (- z x)) (/ y t))

series247.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ 1 (- z x))
67.0ms
(/ (/ 1 1) (/ (/ 1 (- z x)) (/ y t)))
124.0ms
(/ (/ 1 (- z x)) (/ y t))

simplify2.4s

Counts
4371 → 4371
Iterations

Useful iterations: 0 (523.0ms)

IterNodesCost
05516147511
done5516147511

prune22.5s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes238.0ms

Accuracy

7.6% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.2b

bsearch79.0ms

Steps
ItersRangePoint
9
3.0339436075104747e-53
3.3919472263926103e-47
2.403638938267466e-47
6
-6.170103612785448e+47
-1.3313326719732008e+47
-1.3472550960191914e+47

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02543
13241
done3241

end0.0ms

sample1.3s

Algorithm
intervals
Results
602.0ms10653×body80valid