Details

Time bar (total: 12.1s)

sample21.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512011
616811
734211
8155511
done500111

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
10.8b
(/ (- x (* y z)) (- t (* a z)))

rewrite13.0ms

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:
2.0ms
(- t (* a z))
9.0ms
(/ (- x (* y z)) (- t (* a z)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- t (* a z))
62.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.4s

Counts
60 → 60
Iterations

Useful iterations: done (1.4s)

IterNodesCost
099821
1247801
2721732
32278728
done5001723

prune199.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
2.1b
(/ x (- t (* a z)))
2.7b
(* y (/ z (- t (* a z))))
8.6b
(/ z (- t (* a z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
30×add-cube-cbrt *-un-lft-identity
28×times-frac
15×associate-*r*
13×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×cbrt-undiv fma-neg div-exp associate-*l* prod-diff div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log associate-*r/ pow-prod-down *-commutative
Counts
4 → 118
Calls
4 calls:
2.0ms
(- t (* a z))
4.0ms
(/ x (- t (* a z)))
12.0ms
(* y (/ z (- t (* a z))))
4.0ms
(/ z (- t (* a z)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- t (* a z))
36.0ms
(/ x (- t (* a z)))
48.0ms
(* y (/ z (- t (* a z))))
58.0ms
(/ z (- t (* a z)))

simplify1.7s

Counts
130 → 130
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01631454
13571413
29051278
324571274
done50001269

prune427.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (- t (* a z)))
2.1b
(/ x (- t (* a z)))
2.7b
(* y (* z (/ 1 (- t (* a z)))))
8.1b
(* z (/ 1 (- t (* a z))))

rewrite45.0ms

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:
4.0ms
(/ 1 (- t (* a z)))
4.0ms
(/ x (- t (* a z)))
16.0ms
(* y (* z (/ 1 (- t (* a z)))))
13.0ms
(* z (/ 1 (- t (* a z))))

series194.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ 1 (- t (* a z)))
37.0ms
(/ x (- t (* a z)))
46.0ms
(* y (* z (/ 1 (- t (* a z)))))
58.0ms
(* z (/ 1 (- t (* a z))))

simplify1.7s

Counts
144 → 144
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01701702
13921484
29291290
327931287
done50001285

prune408.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.6b

localize15.0ms

Local error

Found 4 expressions with local error:

8.6b
(/ z (- t (* a z)))
9.6b
(cbrt (/ z (- t (* a z))))
9.6b
(cbrt (/ z (- t (* a z))))
9.6b
(cbrt (/ z (- t (* a z))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
36×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r* associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 109
Calls
4 calls:
8.0ms
(/ z (- t (* a z)))
3.0ms
(cbrt (/ z (- t (* a z))))
3.0ms
(cbrt (/ z (- t (* a z))))
3.0ms
(cbrt (/ z (- t (* a z))))

series487.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ z (- t (* a z)))
147.0ms
(cbrt (/ z (- t (* a z))))
139.0ms
(cbrt (/ z (- t (* a z))))
142.0ms
(cbrt (/ z (- t (* a z))))

simplify1.8s

Counts
121 → 121
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
01141714
12181660
24871571
311691556
430311533
done50001533

prune506.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.6b

regimes292.0ms

Accuracy

90% (0.2b remaining)

Error of 6.5b against oracle of 6.3b and baseline of 8.2b

bsearch95.0ms

Steps
ItersRangePoint
9
9.874627991469258e-44
4.018134768956843e-34
2.509525911824164e-42
8
-3.7111308573574424e+39
-6.691049441502269e+34
-4.064011900835633e+38

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02263
13045
done3045

end0.0ms

sample520.0ms

Algorithm
intervals
Results
270.0ms8717×body80valid