Details

Time bar (total: 18.7s)

sample47.0ms

Algorithm
intervals
Results
23.0ms263×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
013325
123325
235325
360325
4102325
5238325
6706325
72841325
done5000325

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b
(- (* y z) x)
0.7b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
6.7b
(/ (- (* y z) x) (- (* t z) x))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
8×add-cbrt-cube add-exp-log add-log-exp
7×associate-/r* associate-/l*
4×pow1 div-sub associate-/r/ associate-/l/
3×flip3-+ flip3-- flip-+ flip--
2×cbrt-undiv clear-num associate-+r- frac-2neg div-exp div-inv
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 98
Calls
4 calls:
59.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
12.0ms
(- (* y z) x)
146.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
29.0ms
(/ (- (* y z) x) (- (* t z) x))

series450.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
39.0ms
(- (* y z) x)
173.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
95.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify1.6s

Counts
110 → 110
Iterations

Useful iterations: 2 (447.0ms)

IterNodesCost
015839202
141236898
2174636698
done500136698

prune809.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.1b
(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
0.8b
(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
6.7b
(/ (- (* y z) x) (- (* t z) x))

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
165×*-un-lft-identity
155×times-frac
81×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
29×associate-/r*
19×add-exp-log
13×add-cbrt-cube associate-/r/
10×associate-/l*
9×div-exp
7×div-inv
6×flip3-+ flip-+ add-log-exp
5×pow1 cbrt-undiv
4×associate-/l/
3×clear-num frac-2neg flip3-- flip--
2×rec-exp 1-exp
1×sub-neg diff-log div-sub pow-flip inv-pow
Counts
4 → 196
Calls
4 calls:
12.0ms
(- (* y z) x)
108.0ms
(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
111.0ms
(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
43.0ms
(/ (- (* y z) x) (- (* t z) x))

series544.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* y z) x)
200.0ms
(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
213.0ms
(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
91.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify2.5s

Counts
208 → 208
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0262105253
169691338
2359189179
done500189138

prune855.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.2b
(/ 1 (- (* t z) x))
0.7b
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
6.7b
(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
36×add-sqr-sqrt
32×times-frac
29×add-cube-cbrt
19×add-exp-log
15×associate-*r*
13×add-cbrt-cube
7×pow1 associate-/r*
6×associate-/r/ associate-/l* add-log-exp
5×flip3-- div-exp flip--
4×prod-exp distribute-lft-out
3×cbrt-undiv associate-*l* div-inv unswap-sqr
2×frac-times rec-exp clear-num frac-2neg flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ associate-/l/
1×sub-neg diff-log pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 122
Calls
4 calls:
11.0ms
(- (* y z) x)
23.0ms
(/ 1 (- (* t z) x))
36.0ms
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
60.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

series353.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* y z) x)
42.0ms
(/ 1 (- (* t z) x))
168.0ms
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
107.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify3.2s

Counts
134 → 134
Iterations

Useful iterations: done (3.2s)

IterNodesCost
018945446
148640095
2305437063
done500136942

prune682.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.7b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.5b
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.7b
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
6.9b
(/ (- (* t z) x) (- (* y z) x))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
110×times-frac
94×*-un-lft-identity
67×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
19×add-exp-log
16×distribute-lft-out
13×add-cbrt-cube associate-/r/
12×div-inv
11×associate-/l*
9×div-exp
7×flip3-- flip--
6×add-log-exp
5×pow1 cbrt-undiv
4×associate-/l/
3×clear-num frac-2neg
2×rec-exp flip3-+ 1-exp flip-+
1×sub-neg diff-log div-sub pow-flip inv-pow
Counts
4 → 173
Calls
4 calls:
6.0ms
(- (* y z) x)
26.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
198.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
28.0ms
(/ (- (* t z) x) (- (* y z) x))

series454.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* y z) x)
124.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
217.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
74.0ms
(/ (- (* t z) x) (- (* y z) x))

simplify2.0s

Counts
185 → 185
Iterations

Useful iterations: done (2.0s)

IterNodesCost
026080641
168170500
2352170010
done500066983

prune735.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.7b

regimes489.0ms

Accuracy

56.7% (2.9b remaining)

Error of 3.8b against oracle of 0.9b and baseline of 7.6b

bsearch111.0ms

Steps
ItersRangePoint
8
6.601899086925292e+128
1.1120187522348944e+133
3.641116230673848e+130
9
-5.257175832013604e+178
-2.2922435397337613e+171
-1.160115839689408e+172

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
024748
134748
done34748

end0.0ms

sample1.2s

Algorithm
intervals
Results
951.0ms8307×body80valid