Details

Time bar (total: 9.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1119
2149
done149

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite23.0ms

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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
20.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.6s

Counts
53 → 53
Iterations

Useful iterations: 4 (757.0ms)

IterNodesCost
095835
1204812
2513776
31342776
43634775
done5001775

prune112.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.3b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite56.0ms

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 frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
23.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
20.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series165.0ms

Counts
2 → 6
Calls
2 calls:
124.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
41.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.3s

Counts
201 → 201
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02454021
15913530
213123223
337723179
done50003177

prune246.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (- 1.0 (/ y z)))
5.4b
(* (/ 1 (- 1.0 (/ y z))) (+ x y))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*l*
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-*r* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*r/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out inv-pow
Counts
2 → 98
Calls
2 calls:
12.0ms
(/ 1 (- 1.0 (/ y z)))
36.0ms
(* (/ 1 (- 1.0 (/ y z))) (+ x y))

series166.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ 1 (- 1.0 (/ y z)))
122.0ms
(* (/ 1 (- 1.0 (/ y z))) (+ x y))

simplify1.8s

Counts
104 → 104
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01521387
14901193
212451091
330021091
done50011090

prune185.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.7b
(/ 1 (- 1.0 (/ y z)))
5.6b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite113.0ms

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×frac-2neg clear-num add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 588
Calls
3 calls:
5.0ms
(/ 1 (+ x y))
13.0ms
(/ 1 (- 1.0 (/ y z)))
39.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series204.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1 (+ x y))
47.0ms
(/ 1 (- 1.0 (/ y z)))
124.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify1.8s

Counts
597 → 597
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
071116571
1214512965
2425711675
done500011675

prune433.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

68.6% (2.4b remaining)

Error of 2.4b against oracle of 0.1b and baseline of 7.6b

bsearch75.0ms

Steps
ItersRangePoint
9
2.0126860685752985e-10
4.458355010568969e-05
7.84937916861234e-10
8
-1.6668736937815573e-15
-3.2217872713112076e-19
-2.9656743812715667e-16

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02145
12935
done2935

end0.0ms

sample370.0ms

Algorithm
intervals
Results
205.0ms7997×body80valid
0.0ms2×body640valid
0.0ms1×body2560valid