Details

Time bar (total: 10.7s)

sample20.0ms

Algorithm
intervals
Results
8.0ms276×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11911
23811
35211
48011
510811
615411
759811
8366011
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
8.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 56
Calls
3 calls:
2.0ms
(- t (* a z))
2.0ms
(- x (* y z))
8.0ms
(/ (- x (* y z)) (- t (* a z)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- t (* a z))
28.0ms
(- x (* y z))
56.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.0s

Counts
65 → 65
Iterations

Useful iterations: done (1.0s)

IterNodesCost
096852
1250829
2815765
33021765
done5000763

prune171.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.8b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
2.4b
(/ x (- t (* a z)))
2.9b
(* y (/ z (- t (* a z))))
7.7b
(/ z (- t (* a z)))

rewrite49.0ms

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)))))
4.0ms
(/ x (- t (* a z)))
15.0ms
(* y (/ z (- t (* a z))))
4.0ms
(/ z (- t (* a z)))

series224.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
37.0ms
(/ x (- t (* a z)))
42.0ms
(* y (/ z (- t (* a z))))
56.0ms
(/ z (- t (* a z)))

simplify551.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
01591582
13781504
214291386
done50001386

prune304.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.8b

localize18.0ms

Local error

Found 4 expressions with local error:

2.4b
(/ x (- t (* a z)))
8.2b
(cbrt (- t (* a z)))
8.2b
(cbrt (- t (* a z)))
8.2b
(cbrt (- t (* a z)))

rewrite13.0ms

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 flip3-- flip-- 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 → 68
Calls
4 calls:
4.0ms
(/ x (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ x (- t (* a z)))
112.0ms
(cbrt (- t (* a z)))
110.0ms
(cbrt (- t (* a z)))
115.0ms
(cbrt (- t (* a z)))

simplify1.1s

Counts
80 → 80
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01181053
12611011
2728947
32713923
done5000922

prune300.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (- t (* a z)) z))
2.4b
(/ x (- t (* a z)))
2.9b
(* y (/ 1 (/ (- t (* a z)) z)))
7.6b
(/ (- t (* a z)) z)

rewrite52.0ms

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))
4.0ms
(/ x (- t (* a z)))
24.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
6.0ms
(/ (- t (* a z)) z)

series164.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ 1 (/ (- t (* a z)) z))
34.0ms
(/ x (- t (* a z)))
46.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
30.0ms
(/ (- t (* a z)) z)

simplify1.5s

Counts
220 → 220
Iterations

Useful iterations: 2 (249.0ms)

IterNodesCost
02783288
16992930
225552491
done50002491

prune481.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.0b

regimes175.0ms

Accuracy

92.3% (0.1b remaining)

Error of 1.4b against oracle of 1.3b and baseline of 2.9b

bsearch76.0ms

Steps
ItersRangePoint
7
1.3896786487220964e-12
1.8620087891198717e-10
2.3170079174536806e-12
7
-3.2217872713112076e-19
-1.1968047155762966e-20
-3.101857186471496e-19

simplify4.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02463
13343
23743
done3743

end0.0ms

sample530.0ms

Algorithm
intervals
Results
276.0ms8738×body80valid