Details

Time bar (total: 11.9s)

sample42.0ms

Algorithm
intervals
Results
20.0ms281×body80valid

simplify170.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3549
4779
51009
61209
71309
81399
done1399

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.7b
(/ (* x (- y z)) (- t z))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
29.0ms
(* x (- y z))
36.0ms
(/ (* x (- y z)) (- t z))

series155.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* x (- y z))
103.0ms
(/ (* x (- y z)) (- t z))

simplify2.2s

Counts
61 → 61
Iterations

Useful iterations: 2 (143.0ms)

IterNodesCost
0105599
1264575
2863501
33948501
done5000501

prune166.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.5b
(/ x (/ (- t z) (- y z)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
37.0ms
(/ (- t z) (- y z))
35.0ms
(/ x (/ (- t z) (- y z)))

series286.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ (- t z) (- y z))
212.0ms
(/ x (/ (- t z) (- y z)))

simplify1.2s

Counts
200 → 200
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02703488
16163268
222263166
done50013160

prune563.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t (- y z)) (/ z (- y z)))
0.0b
(/ t (- y z))
0.0b
(/ z (- y z))
1.5b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
174×times-frac
153×add-sqr-sqrt
68×distribute-lft-out--
57×add-cube-cbrt
38×difference-of-squares
28×associate-/r* associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
13×div-inv
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1
3×cbrt-undiv frac-2neg div-exp clear-num
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 194
Calls
4 calls:
101.0ms
(- (/ t (- y z)) (/ z (- y z)))
12.0ms
(/ t (- y z))
16.0ms
(/ z (- y z))
156.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series336.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (/ t (- y z)) (/ z (- y z)))
32.0ms
(/ t (- y z))
65.0ms
(/ z (- y z))
158.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify2.3s

Counts
206 → 206
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02723276
15083084
213392992
333012799
done50002767

prune584.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ z (- y z))
0.2b
(* t (/ 1 (- y z)))
1.5b
(/ x (- (* t (/ 1 (- y z))) (/ z (- y z))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
66×*-un-lft-identity
59×times-frac
43×add-cube-cbrt
21×add-exp-log associate-*r*
15×add-cbrt-cube
14×associate-/r*
12×associate-/r/
11×distribute-lft-out-- difference-of-squares
9×associate-/l*
8×div-inv
7×pow1
6×div-exp
4×cbrt-undiv flip3-- distribute-rgt-out-- prod-exp flip-- add-log-exp
3×frac-2neg associate-*r/ associate-*l* clear-num un-div-inv unswap-sqr
2×rec-exp 1-exp frac-sub cbrt-unprod sub-div
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 159
Calls
4 calls:
14.0ms
(/ 1 (- y z))
11.0ms
(/ z (- y z))
31.0ms
(* t (/ 1 (- y z)))
53.0ms
(/ x (- (* t (/ 1 (- y z))) (/ z (- y z))))

series241.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ 1 (- y z))
46.0ms
(/ z (- y z))
36.0ms
(* t (/ 1 (- y z)))
118.0ms
(/ x (- (* t (/ 1 (- y z))) (/ z (- y z))))

simplify1.8s

Counts
171 → 171
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02232051
14611711
210531587
326371509
done50011506

prune351.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
done913

end0.0ms

sample748.0ms

Algorithm
intervals
Results
340.0ms8724×body80valid