Details

Time bar (total: 15.8s)

sample40.0ms

Algorithm
intervals
Results
14.0ms280×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512011
616811
732611
8112411
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
9.0b
(/ (- x (* y z)) (- t (* a z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
6×fma-neg prod-diff
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
6.0ms
(- t (* a z))
6.0ms
(- x (* y z))
18.0ms
(/ (- x (* y z)) (- t (* a z)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- t (* a z))
32.0ms
(- x (* y z))
68.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify2.6s

Counts
83 → 83
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01201022
1297996
2868905
32865897
done5000859

prune222.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.1b

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)))
4.0b
(* y (/ z (- t (* a z))))
6.7b
(/ z (- t (* a z)))

rewrite96.0ms

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:
50.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
9.0ms
(/ x (- t (* a z)))
24.0ms
(* y (/ z (- t (* a z))))
9.0ms
(/ z (- t (* a z)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
39.0ms
(/ x (- t (* a z)))
50.0ms
(* y (/ z (- t (* a z))))
59.0ms
(/ z (- t (* a z)))

simplify1.7s

Counts
156 → 156
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01902541
14452451
212462205
340742153
done50022140

prune452.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (- t (* a z)))
2.4b
(/ x (- t (* a z)))
4.0b
(* y (* z (/ 1 (- t (* a z)))))
6.7b
(* z (/ 1 (- t (* a z))))

rewrite79.0ms

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:
9.0ms
(/ 1 (- t (* a z)))
9.0ms
(/ x (- t (* a z)))
34.0ms
(* y (* z (/ 1 (- t (* a z)))))
23.0ms
(* z (/ 1 (- t (* a z))))

series201.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ 1 (- t (* a z)))
40.0ms
(/ x (- t (* a z)))
49.0ms
(* y (* z (/ 1 (- t (* a z)))))
57.0ms
(* z (/ 1 (- t (* a z))))

simplify1.9s

Counts
144 → 144
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01701702
13771484
29651290
328691287
done50001285

prune348.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (- t (* a z)))
1.0b
(fma x (/ 1 (- t (* a z))) (- (* (/ z (- t (* a z))) y)))
4.0b
(* (/ z (- t (* a z))) y)
6.7b
(/ 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×add-exp-log associate-*l*
13×add-cbrt-cube
7×pow1
6×associate-/r* associate-/r/ associate-/l*
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- associate-*r* flip-- div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×rec-exp pow-flip 1-exp pow-prod-down associate-*l/ *-commutative fma-udef inv-pow
Counts
4 → 112
Calls
4 calls:
10.0ms
(/ 1 (- t (* a z)))
0.0ms
(fma x (/ 1 (- t (* a z))) (- (* (/ z (- t (* a z))) y)))
26.0ms
(* (/ z (- t (* a z))) y)
9.0ms
(/ z (- t (* a z)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ 1 (- t (* a z)))
109.0ms
(fma x (/ 1 (- t (* a z))) (- (* (/ z (- t (* a z))) y)))
117.0ms
(* (/ z (- t (* a z))) y)
63.0ms
(/ z (- t (* a z)))

simplify1.8s

Counts
124 → 124
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01581508
13451440
29071268
326051268
done50001202

prune331.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.0b

regimes227.0ms

Accuracy

72.8% (0.4b remaining)

Error of 1.9b against oracle of 1.4b and baseline of 3.1b

bsearch62.0ms

Steps
ItersRangePoint
5
2.786786235398343e-23
9.503214143877203e-23
2.8588455915969355e-23
7
-2.9400590900524794e-112
-5.4705701913994765e-114
-2.8935224264340002e-112

simplify6.0ms

Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
02663
13841
24239
done4239

end0.0ms

sample624.0ms

Algorithm
intervals
Results
260.0ms8763×body80valid