Details

Time bar (total: 18.2s)

sample27.0ms

Algorithm
intervals
Results
11.0ms348×body80valid

simplify5.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3459
4849
51129
61309
71479
81889
92459
102749
113079
123439
133689
143849
154719
165629
178119
1811389
1915739
2016559
2116569
done16569

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
7.1b
(/ (* y (- z x)) t)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×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/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
26.0ms
(+ x (/ (* y (- z x)) t))
36.0ms
(* y (- z x))
28.0ms
(/ (* y (- z x)) t)

series216.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ x (/ (* y (- z x)) t))
71.0ms
(* y (- z x))
90.0ms
(/ (* y (- z x)) t)

simplify2.8s

Counts
70 → 70
Iterations

Useful iterations: 2 (197.0ms)

IterNodesCost
0113722
1290679
2894589
34328589
done5000589

prune248.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ t (* y (- z x)))))
0.0b
(* y (- z x))
0.4b
(/ 1 (/ t (* y (- z x))))
7.1b
(/ t (* y (- z x)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
31×*-un-lft-identity
30×add-sqr-sqrt
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv div-inv
6×flip3-- flip-- associate-/l* add-log-exp
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 126
Calls
4 calls:
21.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
29.0ms
(* y (- z x))
34.0ms
(/ 1 (/ t (* y (- z x))))
23.0ms
(/ t (* y (- z x)))

series227.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
46.0ms
(* y (- z x))
65.0ms
(/ 1 (/ t (* y (- z x))))
60.0ms
(/ t (* y (- z x)))

simplify1.3s

Counts
138 → 138
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01951749
14371558
211681320
done50001286

prune358.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t y) (- z x))))
0.4b
(/ 1 (/ (/ t y) (- z x)))
7.1b
(/ (/ t y) (- z x))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
127.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
48.0ms
(/ 1 (/ (/ t y) (- z x)))
33.0ms
(/ (/ t y) (- z x))

series212.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
93.0ms
(/ 1 (/ (/ t y) (- z x)))
66.0ms
(/ (/ t y) (- z x))

simplify2.3s

Counts
434 → 434
Iterations

Useful iterations: done (2.2s)

IterNodesCost
05758555
113547403
229976509
done50026389

prune965.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (/ 1 t) (* y (- z x))))
0.0b
(* y (- z x))
7.3b
(* (/ 1 t) (* y (- z x)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×distribute-rgt-in distribute-lft-in
17×add-cbrt-cube
16×add-sqr-sqrt associate-*l*
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1 sub-neg
9×times-frac
8×associate-+r+ associate-*r/
7×cbrt-unprod
6×associate-*r*
5×add-log-exp
4×div-exp pow-prod-down
3×flip3-- flip--
2×cbrt-undiv frac-times rec-exp 1-exp *-commutative
1×+-commutative flip3-+ associate-*l/ sum-log flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 94
Calls
3 calls:
20.0ms
(+ x (* (/ 1 t) (* y (- z x))))
30.0ms
(* y (- z x))
46.0ms
(* (/ 1 t) (* y (- z x)))

series199.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ x (* (/ 1 t) (* y (- z x))))
43.0ms
(* y (- z x))
103.0ms
(* (/ 1 t) (* y (- z x)))

simplify1.4s

Counts
103 → 103
Iterations

Useful iterations: 2 (316.0ms)

IterNodesCost
01581233
14231013
21325879
done5000879

prune256.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes257.0ms

Accuracy

-5.4% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch95.0ms

Steps
ItersRangePoint
9
1.7229583111139132e-128
8.739169760442417e-122
9.623040471329405e-128
5
-1.4569884235766007e-242
-4.085499119994983e-243
-1.324378283502527e-242

simplify15.0ms

Iterations

Useful iterations: done (15.0ms)

IterNodesCost
02251
13131
done3129

end0.0ms

sample1.3s

Algorithm
intervals
Results
606.0ms10688×body80valid