Details

Time bar (total: 16.6s)

sample35.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize12.0ms

Local error

Found 1 expressions with local error:

8.3b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
55.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify3.1s

Counts
55 → 55
Iterations

Useful iterations: 4 (1.8s)

IterNodesCost
097855
1209831
2558795
31461795
44342794
done5000794

prune208.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.3b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
56.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
77.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series220.0ms

Counts
2 → 6
Calls
2 calls:
166.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
54.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify3.0s

Counts
205 → 205
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02494065
15793570
213513259
337103215
done50003215

prune466.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.8b
(/ 1 (- 1.0 (/ y z)))
7.5b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
1165×times-frac
718×add-sqr-sqrt
693×*-un-lft-identity
413×add-cube-cbrt
122×difference-of-squares
93×associate-/r/
79×distribute-lft-out
61×distribute-lft-out--
51×add-exp-log
47×div-inv
36×div-exp
30×associate-/l*
28×associate-/r*
26×flip3-+ flip-+
20×flip3-- flip--
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
5×pow1
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 594
Calls
3 calls:
25.0ms
(/ 1 (+ x y))
36.0ms
(/ 1 (- 1.0 (/ y z)))
95.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series754.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ 1 (+ x y))
78.0ms
(/ 1 (- 1.0 (/ y z)))
618.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify2.3s

Counts
603 → 603
Iterations

Useful iterations: 2 (1.6s)

IterNodesCost
071716627
1201212974
2376411680
done500111680

prune758.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 6.4b

localize32.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (+ y x)))
7.7b
(cbrt (/ 1 (- 1.0 (/ y z))))
7.7b
(cbrt (/ 1 (- 1.0 (/ y z))))
7.7b
(cbrt (/ 1 (- 1.0 (/ y z))))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
72×cbrt-prod
63×times-frac
52×*-un-lft-identity
39×cbrt-div
34×add-cube-cbrt
29×frac-times
19×associate-*r/
18×difference-of-squares
16×pow1 add-exp-log
13×associate-*l/
10×add-cbrt-cube
9×distribute-lft-out--
8×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
6×associate-/r/
4×distribute-rgt-in expm1-log1p-u distribute-lft-in log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 156
Calls
4 calls:
221.0ms
(* (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (+ y x)))
13.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
23.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
31.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

series1.2s

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (+ y x)))
320.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
344.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
333.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

simplify2.0s

Counts
168 → 168
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02233873
15783538
215812753
done50002596

prune509.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 6.4b

regimes239.0ms

Accuracy

64% (0.7b remaining)

Error of 6.4b against oracle of 5.7b and baseline of 7.6b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02569
13061
done3061

end0.0ms

sample901.0ms

Algorithm
intervals
Results
457.0ms7999×body80valid
0.0ms1×body1280valid