Details

Time bar (total: 10.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms277×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11911
23811
35211
48011
510811
615211
731811
8151711
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
11.6b
(/ (- x (* y z)) (- t (* a z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 44
Calls
2 calls:
2.0ms
(- t (* a z))
8.0ms
(/ (- x (* y z)) (- t (* a z)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- t (* a z))
58.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.0s

Counts
50 → 50
Iterations

Useful iterations: done (1.0s)

IterNodesCost
085724
1221706
2654652
32045652
done5000650

prune133.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
1.5b
(* y (/ z (- t (* a z))))
4.5b
(/ x (- t (* a z)))
7.9b
(/ z (- t (* a z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
15×associate-*r*
13×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- flip--
3×cbrt-undiv associate-*r/ div-exp associate-*l* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 106
Calls
4 calls:
22.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
12.0ms
(* y (/ z (- t (* a z))))
6.0ms
(/ x (- t (* a z)))
4.0ms
(/ z (- t (* a z)))

series226.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
45.0ms
(* y (/ z (- t (* a z))))
35.0ms
(/ x (- t (* a z)))
56.0ms
(/ z (- t (* a z)))

simplify1.4s

Counts
118 → 118
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01591582
13701504
210081386
332271386
done50001384

prune324.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (- t (* a z)) z))
1.5b
(* y (/ 1 (/ (- t (* a z)) z)))
4.5b
(/ x (- t (* a z)))
7.8b
(/ (- t (* a z)) z)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
112×add-sqr-sqrt
100×*-un-lft-identity
98×add-cube-cbrt
44×associate-*r*
38×add-exp-log
22×add-cbrt-cube
19×associate-/r*
16×div-exp
11×div-inv
9×associate-/l*
8×cbrt-undiv
7×pow1 prod-exp
5×unswap-sqr
4×rec-exp 1-exp associate-/r/ add-log-exp
3×frac-2neg associate-*l* clear-num cbrt-unprod
2×flip3-- flip-- associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 208
Calls
4 calls:
7.0ms
(/ 1 (/ (- t (* a z)) z))
28.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
4.0ms
(/ x (- t (* a z)))
6.0ms
(/ (- t (* a z)) z)

series169.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ 1 (/ (- t (* a z)) z))
43.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
39.0ms
(/ x (- t (* a z)))
31.0ms
(/ (- t (* a z)) z)

simplify2.2s

Counts
220 → 220
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02783288
16842808
214332491
338922326
done50002324

prune489.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (* 1 (/ y (- (/ t z) a))))
1.5b
(/ y (- (/ t z) a))
4.5b
(/ x (- t (* a z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
32×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp difference-of-squares
6×associate-/l*
5×distribute-lft-out--
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
1×associate-*r/ frac-sub
Counts
4 → 96
Calls
4 calls:
2.0ms
(- t (* a z))
22.0ms
(- (/ x (- t (* a z))) (* 1 (/ y (- (/ t z) a))))
18.0ms
(/ y (- (/ t z) a))
4.0ms
(/ x (- t (* a z)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- t (* a z))
77.0ms
(- (/ x (- t (* a z))) (* 1 (/ y (- (/ t z) a))))
33.0ms
(/ y (- (/ t z) a))
35.0ms
(/ x (- t (* a z)))

simplify1.3s

Counts
108 → 108
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01781462
13781352
29121284
325611284
done50001282

prune291.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.7b

regimes188.0ms

Accuracy

0% (1.5b remaining)

Error of 2.9b against oracle of 1.4b and baseline of 2.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01519
12017
done2017

end0.0ms

sample547.0ms

Algorithm
intervals
Results
278.0ms8732×body80valid