Details

Time bar (total: 11.2s)

sample18.0ms

Algorithm
intervals
Results
8.0ms321×body80valid

simplify4.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1229
2439
31069
41879
52679
63769
78339
844859
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize6.0ms

Local error

Found 1 expressions with local error:

10.2b
(/ (* x (+ (- y z) 1.0)) z)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv associate-*r/ div-exp associate-/l/
pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
23.0ms
(/ (* x (+ (- y z) 1.0)) z)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify1.3s

Counts
26 → 26
Iterations

Useful iterations: 3 (413.0ms)

IterNodesCost
065344
1179335
2658281
33461267
done5000267

prune56.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

2.0b
(* (/ x z) (+ 1.0 y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
add-cube-cbrt
add-exp-log add-cbrt-cube
associate-*r*
pow1
frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ unswap-sqr
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out add-log-exp
Counts
1 → 39
Calls
1 calls:
14.0ms
(* (/ x z) (+ 1.0 y))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* (/ x z) (+ 1.0 y))

simplify1.7s

Counts
42 → 42
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
092442
1317421
2944377
33457377
done5001377

prune97.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.4b
(/ x (/ z (+ (- y z) 1.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-+ flip-+
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
20.0ms
(/ z (+ (- y z) 1.0))
23.0ms
(/ x (/ z (+ (- y z) 1.0)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ z (+ (- y z) 1.0))
41.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify603.0ms

Counts
145 → 145
Iterations

Useful iterations: done (599.0ms)

IterNodesCost
02002400
14552236
214892142
done50012122

prune251.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
6.9b
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
522×*-un-lft-identity
292×add-sqr-sqrt add-cube-cbrt
92×distribute-lft-out
46×distribute-lft-out--
38×div-inv
31×associate-/r/
28×add-exp-log
26×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-+ flip-+
cbrt-undiv
pow1 rec-exp 1-exp
frac-2neg clear-num add-log-exp
pow-flip associate-/l/ inv-pow
Counts
2 → 372
Calls
2 calls:
18.0ms
(/ 1 (+ (- y z) 1.0))
29.0ms
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ 1 (+ (- y z) 1.0))
41.0ms
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

simplify1.5s

Counts
378 → 378
Iterations

Useful iterations: 2 (780.0ms)

IterNodesCost
04889005
114247277
238296761
done50016761

prune406.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes107.0ms

Accuracy

74.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02051
12743
done2743

end0.0ms

sample469.0ms

Algorithm
intervals
Results
257.0ms10093×body80valid