Details

Time bar (total: 27.2s)

sample51.0ms

Algorithm
intervals
Results
20.0ms278×body80valid

simplify7.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512011
616811
732611
8112411
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
10.9b
(/ (- x (* y z)) (- t (* a z)))

rewrite52.0ms

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:
7.0ms
(- t (* a z))
7.0ms
(- x (* y z))
36.0ms
(/ (- x (* y z)) (- t (* a z)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- t (* a z))
46.0ms
(- x (* y z))
96.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify3.8s

Counts
83 → 83
Iterations

Useful iterations: done (3.8s)

IterNodesCost
01201022
1297996
2868905
32865897
done5000859

prune339.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
1.9b
(/ x (- t (* a z)))
3.6b
(* y (/ z (- t (* a z))))
8.6b
(/ z (- t (* a z)))

rewrite126.0ms

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:
61.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
11.0ms
(/ x (- t (* a z)))
33.0ms
(* y (/ z (- t (* a z))))
11.0ms
(/ z (- t (* a z)))

series389.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
61.0ms
(/ x (- t (* a z)))
83.0ms
(* y (/ z (- t (* a z))))
97.0ms
(/ z (- t (* a z)))

simplify2.7s

Counts
156 → 156
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01902541
14452451
212462205
340742153
done50022140

prune680.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.2b

localize28.0ms

Local error

Found 4 expressions with local error:

1.9b
(/ x (- t (* a z)))
9.1b
(cbrt (- t (* a z)))
9.1b
(cbrt (- t (* a z)))
9.1b
(cbrt (- t (* a z)))

rewrite34.0ms

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:
20.0ms
(/ x (- t (* a z)))
4.0ms
(cbrt (- t (* a z)))
4.0ms
(cbrt (- t (* a z)))
5.0ms
(cbrt (- t (* a z)))

series655.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(/ x (- t (* a z)))
186.0ms
(cbrt (- t (* a z)))
197.0ms
(cbrt (- t (* a z)))
197.0ms
(cbrt (- t (* a z)))

simplify4.2s

Counts
88 → 88
Iterations

Useful iterations: 4 (2.5s)

IterNodesCost
01221111
12681063
2650989
31624962
44591924
done5000924

prune603.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (/ (- t (* a z)) z))
1.9b
(/ x (- t (* a z)))
3.6b
(* y (/ 1 (/ (- t (* a z)) z)))
8.5b
(/ (- t (* a z)) z)

rewrite168.0ms

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×expm1-log1p-u rec-exp 1-exp associate-/r/ log1p-expm1-u 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 → 216
Calls
4 calls:
30.0ms
(/ 1 (/ (- t (* a z)) z))
12.0ms
(/ x (- t (* a z)))
72.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
31.0ms
(/ (- t (* a z)) z)

series298.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ 1 (/ (- t (* a z)) z))
61.0ms
(/ x (- t (* a z)))
80.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
63.0ms
(/ (- t (* a z)) z)

simplify3.0s

Counts
228 → 228
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02863364
16642879
214552555
339402382
done50002380

prune684.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

regimes208.0ms

Accuracy

69.9% (0.5b remaining)

Error of 1.7b against oracle of 1.3b and baseline of 2.8b

bsearch108.0ms

Steps
ItersRangePoint
9
54122986.48185847
1091379768884732.6
54920090.666387334
7
-5.825291196675339e-101
-4.3305558754680174e-103
-3.16243320618525e-101

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02455
13137
done3137

end0.0ms

sample1.7s

Algorithm
intervals
Results
617.0ms8723×body80valid