Details

Time bar (total: 26.2s)

sample50.0ms

Algorithm
intervals
Results
20.0ms276×body80valid

simplify6.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512011
616811
732611
8112411
done500011

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
10.5b
(/ (- x (* y z)) (- t (* a z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- fma-neg prod-diff associate-/r* flip-- associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 54
Calls
2 calls:
21.0ms
(- x (* y z))
27.0ms
(/ (- x (* y z)) (- t (* a z)))

series176.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(- x (* y z))
117.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify3.7s

Counts
60 → 60
Iterations

Useful iterations: done (3.7s)

IterNodesCost
0100821
1255801
2785733
32699728
done5000708

prune310.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
2.2b
(/ x (- t (* a z)))
2.6b
(* y (/ z (- t (* a z))))
8.5b
(/ z (- t (* a z)))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
46×times-frac
42×add-cube-cbrt *-un-lft-identity
15×fma-neg associate-*r* prod-diff
13×add-exp-log add-cbrt-cube
10×associate-/r/
6×pow1 flip3-- associate-/r* flip-- associate-/l* add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv associate-*r/ div-exp associate-*l*
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 → 144
Calls
4 calls:
84.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
9.0ms
(/ x (- t (* a z)))
45.0ms
(* y (/ z (- t (* a z))))
9.0ms
(/ z (- t (* a z)))

series446.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
56.0ms
(/ x (- t (* a z)))
93.0ms
(* y (/ z (- t (* a z))))
84.0ms
(/ z (- t (* a z)))

simplify3.0s

Counts
156 → 156
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01902541
14452451
212462205
340742153
done50022140

prune781.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.2b

localize32.0ms

Local error

Found 4 expressions with local error:

2.2b
(/ x (- t (* a z)))
9.0b
(cbrt (- t (* a z)))
9.0b
(cbrt (- t (* a z)))
9.0b
(cbrt (- t (* a z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log cbrt-div add-cbrt-cube
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 76
Calls
4 calls:
19.0ms
(/ x (- t (* a z)))
7.0ms
(cbrt (- t (* a z)))
6.0ms
(cbrt (- t (* a z)))
7.0ms
(cbrt (- t (* a z)))

series693.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ x (- t (* a z)))
227.0ms
(cbrt (- t (* a z)))
208.0ms
(cbrt (- t (* a z)))
203.0ms
(cbrt (- t (* a z)))

simplify4.0s

Counts
88 → 88
Iterations

Useful iterations: 4 (2.6s)

IterNodesCost
01221111
12681063
2650989
31624962
44591924
done5000924

prune660.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (- t (* a z)))
2.2b
(/ x (- t (* a z)))
2.6b
(* y (* z (/ 1 (- t (* a z)))))
8.1b
(* z (/ 1 (- t (* a z))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×add-exp-log
30×*-un-lft-identity
29×add-cube-cbrt times-frac
22×add-cbrt-cube
16×associate-*r*
13×prod-exp
12×pow1
7×div-exp cbrt-unprod
6×associate-*l* associate-/r* associate-/r/ associate-/l*
4×cbrt-undiv expm1-log1p-u associate-*r/ pow-prod-down log1p-expm1-u add-log-exp
3×rec-exp flip3-- 1-exp flip-- div-inv unswap-sqr
2×frac-2neg clear-num un-div-inv *-commutative
1×pow-flip inv-pow
Counts
4 → 132
Calls
4 calls:
21.0ms
(/ 1 (- t (* a z)))
12.0ms
(/ x (- t (* a z)))
45.0ms
(* y (* z (/ 1 (- t (* a z)))))
37.0ms
(* z (/ 1 (- t (* a z))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ 1 (- t (* a z)))
46.0ms
(/ x (- t (* a z)))
82.0ms
(* y (* z (/ 1 (- t (* a z)))))
112.0ms
(* z (/ 1 (- t (* a z))))

simplify2.8s

Counts
144 → 144
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01701702
13771484
29651290
328691287
done50001285

prune491.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.2b

regimes376.0ms

Accuracy

0% (0.8b remaining)

Error of 7.2b against oracle of 6.4b and baseline of 7.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01739
12039
done2039

end0.0ms

sample1.2s

Algorithm
intervals
Results
541.0ms8749×body80valid