Details

Time bar (total: 20.7s)

sample43.0ms

Algorithm
intervals
Results
17.0ms280×body80valid

simplify5.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
35211
48011
510611
615011
729711
8107911
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
9.4b
(/ (- x (* y z)) (- t (* a z)))

rewrite57.0ms

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:
9.0ms
(- x (* y z))
10.0ms
(- t (* a z))
35.0ms
(/ (- x (* y z)) (- t (* a z)))

series179.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- x (* y z))
46.0ms
(- t (* a z))
95.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.9s

Counts
65 → 65
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
096852
1252829
2778765
32567765
done5000765

prune184.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
1.2b
(/ x (- t (* a z)))
3.4b
(* y (/ z (- t (* a z))))
6.2b
(/ z (- t (* a z)))

rewrite69.0ms

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 div-exp associate-*l* 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 → 104
Calls
4 calls:
6.0ms
(- t (* a z))
9.0ms
(/ x (- t (* a z)))
34.0ms
(* y (/ z (- t (* a z))))
17.0ms
(/ z (- t (* a z)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- t (* a z))
43.0ms
(/ x (- t (* a z)))
48.0ms
(* y (/ z (- t (* a z))))
69.0ms
(/ z (- t (* a z)))

simplify2.3s

Counts
116 → 116
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01461329
13251289
28521169
321701169
done50001131

prune368.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.0b
(- t (* a z))
1.2b
(/ x (- t (* a z)))
3.4b
(/ y (- (/ t z) a))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
33×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
10×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l*
5×distribute-lft-out--
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 97
Calls
4 calls:
23.0ms
(- (/ t z) a)
5.0ms
(- t (* a z))
9.0ms
(/ x (- t (* a z)))
47.0ms
(/ y (- (/ t z) a))

series180.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (/ t z) a)
46.0ms
(- t (* a z))
45.0ms
(/ x (- t (* a z)))
55.0ms
(/ y (- (/ t z) a))

simplify3.0s

Counts
109 → 109
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
01601234
13141200
27261124
315851122
438851120
done50021120

prune487.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.4b
(/ 1 (- (/ t z) a))
1.2b
(/ x (- t (* a z)))
3.4b
(* y (/ 1 (- (/ t z) a)))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
54×times-frac
49×*-un-lft-identity
34×add-cube-cbrt
24×associate-*r*
19×add-exp-log
14×difference-of-squares
13×add-cbrt-cube
9×associate-/r*
7×pow1 distribute-lft-out--
6×associate-/r/ associate-/l* add-log-exp
5×div-exp
4×flip3-- prod-exp flip--
3×cbrt-undiv associate-*l* div-inv unswap-sqr
2×rec-exp frac-2neg 1-exp clear-num cbrt-unprod
1×sub-neg pow-flip diff-log associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 133
Calls
4 calls:
11.0ms
(- t (* a z))
30.0ms
(/ 1 (- (/ t z) a))
17.0ms
(/ x (- t (* a z)))
91.0ms
(* y (/ 1 (- (/ t z) a)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- t (* a z))
72.0ms
(/ 1 (- (/ t z) a))
59.0ms
(/ x (- t (* a z)))
45.0ms
(* y (/ 1 (- (/ t z) a)))

simplify3.7s

Counts
145 → 145
Iterations

Useful iterations: 4 (2.4s)

IterNodesCost
01911675
14161453
28601329
318271329
442961327
done50001327

prune463.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.1b

regimes316.0ms

Accuracy

48.4% (0.8b remaining)

Error of 2.2b against oracle of 1.4b and baseline of 2.9b

bsearch114.0ms

Steps
ItersRangePoint
11
2.4976381871973086e-67
1.5317958594486916e-46
1.0469961433143277e-51
10
-5.861019247380232e-273
-1.0698574893927334e-283
-1.0583634769447563e-274

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02455
13137
done3137

end0.0ms

sample1.1s

Algorithm
intervals
Results
496.0ms8706×body80valid