Details

Time bar (total: 17.7s)

sample36.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize12.0ms

Local error

Found 1 expressions with local error:

8.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite64.0ms

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:
59.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series131.0ms

Counts
1 → 3
Calls
1 calls:
130.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify3.4s

Counts
55 → 55
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
097855
1209831
2558795
31461795
44342794
done5000794

prune148.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- 1.0 (/ y z)))
8.3b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 101
Calls
2 calls:
39.0ms
(/ 1 (- 1.0 (/ y z)))
105.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series159.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ 1 (- 1.0 (/ y z)))
82.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify3.2s

Counts
107 → 107
Iterations

Useful iterations: 2 (182.0ms)

IterNodesCost
01471404
13451179
29981081
329561081
done50001081

prune332.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.6b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.8b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite171.0ms

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:
71.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
77.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series268.0ms

Counts
2 → 6
Calls
2 calls:
189.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
79.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify3.0s

Counts
205 → 205
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02494065
15793570
213513259
337103215
done50003215

prune564.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 6.6b

localize29.0ms

Local error

Found 4 expressions with local error:

1.1b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
9.1b
(cbrt (- 1.0 (/ y z)))
9.1b
(cbrt (- 1.0 (/ y z)))
9.1b
(cbrt (- 1.0 (/ y z)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod cbrt-div
9×add-exp-log add-cube-cbrt flip3-- flip--
8×associate-/r/
7×times-frac add-cbrt-cube
6×difference-of-squares
4×pow1 expm1-log1p-u frac-times log1p-expm1-u associate-/l* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 89
Calls
4 calls:
87.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
18.0ms
(cbrt (- 1.0 (/ y z)))
10.0ms
(cbrt (- 1.0 (/ y z)))
10.0ms
(cbrt (- 1.0 (/ y z)))

series1.9s

Counts
4 → 12
Calls
4 calls:
352.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
559.0ms
(cbrt (- 1.0 (/ y z)))
547.0ms
(cbrt (- 1.0 (/ y z)))
491.0ms
(cbrt (- 1.0 (/ y z)))

simplify2.0s

Counts
101 → 101
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01501613
13481520
28621397
323141364
done50011325

prune455.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 6.6b

regimes260.0ms

Accuracy

33.2% (1.2b remaining)

Error of 6.6b against oracle of 5.4b and baseline of 7.2b

bsearch3.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02469
13061
done3061

end0.0ms

sample1.2s

Algorithm
intervals
Results
421.0ms7999×body80valid
0.0ms1×body1280valid