Details

Time bar (total: 12.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize10.0ms

Local error

Found 1 expressions with local error:

8.5b
(/ (+ y x) (- 1.0 (/ y z)))

rewrite29.0ms

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-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip-- add-log-exp
Counts
1 → 50
Calls
1 calls:
27.0ms
(/ (+ y x) (- 1.0 (/ y z)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (+ y x) (- 1.0 (/ y z)))

simplify1.6s

Counts
53 → 53
Iterations
IterNodes
done5000
33318
2695
1209
095

prune240.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ y x)))
8.6b
(/ (- 1.0 (/ y z)) (+ y x))

rewrite71.0ms

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×rec-exp clear-num frac-2neg 1-exp add-log-exp associate-/l/
1×flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
28.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ y x)))
33.0ms
(/ (- 1.0 (/ y z)) (+ y x))

series214.0ms

Counts
2 → 6
Calls
2 calls:
161.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ y x)))
52.0ms
(/ (- 1.0 (/ y z)) (+ y x))

simplify2.0s

Counts
201 → 201
Iterations
IterNodes
done5001
23521
1658
0245

prune585.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (sqrt 1) (/ (- 1.0 (/ y z)) (+ y x)))
8.6b
(/ (- 1.0 (/ y z)) (+ y x))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
405×times-frac
318×add-sqr-sqrt
317×*-un-lft-identity
153×add-cube-cbrt
93×sqrt-prod
66×difference-of-squares
49×distribute-lft-out
34×associate-/r*
33×distribute-lft-out--
17×associate-/r/
12×associate-/l*
9×add-cbrt-cube add-exp-log div-inv
8×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 282
Calls
2 calls:
55.0ms
(/ (sqrt 1) (/ (- 1.0 (/ y z)) (+ y x)))
65.0ms
(/ (- 1.0 (/ y z)) (+ y x))

series240.0ms

Counts
2 → 6
Calls
2 calls:
164.0ms
(/ (sqrt 1) (/ (- 1.0 (/ y z)) (+ y x)))
76.0ms
(/ (- 1.0 (/ y z)) (+ y x))

simplify1.7s

Counts
288 → 288
Iterations
IterNodes
done5000
24238
1828
0310

prune625.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 7.5b

localize34.0ms

Local error

Found 4 expressions with local error:

3.0b
(/ (+ y x) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
8.8b
(cbrt (- 1.0 (/ y z)))
8.8b
(cbrt (- 1.0 (/ y z)))
8.8b
(cbrt (- 1.0 (/ y z)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod cbrt-div
9×flip3-- add-exp-log add-cube-cbrt flip--
8×associate-/r/
7×times-frac add-cbrt-cube
6×difference-of-squares
4×frac-times pow1 associate-/l* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv div-exp associate-*l/ associate-*r/ distribute-lft-out associate-/l/
1×clear-num associate-/r* frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ div-inv
Counts
4 → 81
Calls
4 calls:
41.0ms
(/ (+ y x) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
7.0ms
(cbrt (- 1.0 (/ y z)))
7.0ms
(cbrt (- 1.0 (/ y z)))
14.0ms
(cbrt (- 1.0 (/ y z)))

series1.6s

Counts
4 → 12
Calls
4 calls:
359.0ms
(/ (+ y x) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
404.0ms
(cbrt (- 1.0 (/ y z)))
406.0ms
(cbrt (- 1.0 (/ y z)))
442.0ms
(cbrt (- 1.0 (/ y z)))

simplify1.4s

Counts
93 → 93
Iterations
IterNodes
done5004
33083
2850
1332
0146

prune386.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 7.5b

regimes257.0ms

Accuracy

0% (1.8b remaining)

Error of 7.7b against oracle of 5.9b and baseline of 7.7b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
19
08

end1.0ms

sample771.0ms

Algorithm
intervals
Results
408.0ms7995×body80valid
0.0ms2×body2560valid
0.0ms2×body640valid
0.0ms1×body320valid