Details

Time bar (total: 11.1s)

sample51.0ms

Algorithm
intervals
Results
20.0ms282×body80valid

simplify487.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
7631
6205
5108
480
352
238
119
010

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* z y))
7.8b
(/ (- x (* z y)) (- t (* z a)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* flip3-- flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
2 → 44
Calls
2 calls:
7.0ms
(- x (* z y))
26.0ms
(/ (- x (* z y)) (- t (* z a)))

series153.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(- x (* z y))
94.0ms
(/ (- x (* z y)) (- t (* z a)))

simplify677.0ms

Counts
50 → 50
Iterations
IterNodes
done5000
2914
1233
085

prune343.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* z a))) (/ y (/ (- t (* z a)) z)))
1.2b
(/ x (- t (* z a)))
3.6b
(/ y (/ (- t (* z a)) z))
5.5b
(/ (- t (* z a)) z)

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
104×times-frac
83×add-sqr-sqrt
68×*-un-lft-identity
62×add-cube-cbrt
19×associate-/r*
13×add-cbrt-cube add-exp-log
9×associate-/l*
7×div-inv
6×add-log-exp difference-of-squares
5×cbrt-undiv div-exp
4×pow1
3×clear-num frac-2neg flip3-- associate-/r/ flip--
2×distribute-lft-out-- associate-/l/
1×sub-neg diff-log div-sub frac-sub
Counts
4 → 150
Calls
4 calls:
103.0ms
(- (/ x (- t (* z a))) (/ y (/ (- t (* z a)) z)))
15.0ms
(/ x (- t (* z a)))
19.0ms
(/ y (/ (- t (* z a)) z))
20.0ms
(/ (- t (* z a)) z)

series313.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(- (/ x (- t (* z a))) (/ y (/ (- t (* z a)) z)))
60.0ms
(/ x (- t (* z a)))
76.0ms
(/ y (/ (- t (* z a)) z))
56.0ms
(/ (- t (* z a)) z)

simplify1.0s

Counts
162 → 162
Iterations
IterNodes
done5001
22878
1639
0250

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* z a))) (/ y (- (/ t z) a)))
0.0b
(- (/ t z) a)
1.2b
(/ x (- t (* z a)))
3.6b
(/ y (- (/ t z) a))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
44×*-un-lft-identity
40×times-frac
23×add-cube-cbrt
14×difference-of-squares
9×associate-/r* distribute-lft-out--
8×add-cbrt-cube add-exp-log add-log-exp
6×associate-/l*
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv
1×frac-sub
Counts
4 → 105
Calls
4 calls:
110.0ms
(- (/ x (- t (* z a))) (/ y (- (/ t z) a)))
28.0ms
(- (/ t z) a)
15.0ms
(/ x (- t (* z a)))
47.0ms
(/ y (- (/ t z) a))

series223.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(- (/ x (- t (* z a))) (/ y (- (/ t z) a)))
27.0ms
(- (/ t z) a)
44.0ms
(/ x (- t (* z a)))
47.0ms
(/ y (- (/ t z) a))

simplify1.7s

Counts
117 → 117
Iterations
IterNodes
done5000
34164
21060
1380
0181

prune724.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.4b
(/ 1 (- (/ t z) a))
1.2b
(/ x (- t (* z a)))
3.5b
(* y (/ 1 (- (/ t z) a)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
55×times-frac
51×*-un-lft-identity
34×add-cube-cbrt
24×associate-*r*
19×add-exp-log
16×difference-of-squares
13×add-cbrt-cube
9×associate-/r*
8×distribute-lft-out--
7×pow1
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 clear-num frac-2neg 1-exp cbrt-unprod
1×sub-neg diff-log pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 136
Calls
4 calls:
27.0ms
(- (/ t z) a)
40.0ms
(/ 1 (- (/ t z) a))
14.0ms
(/ x (- t (* z a)))
97.0ms
(* y (/ 1 (- (/ t z) a)))

series252.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (/ t z) a)
92.0ms
(/ 1 (- (/ t z) a))
65.0ms
(/ x (- t (* z a)))
59.0ms
(* y (/ 1 (- (/ t z) a)))

simplify763.0ms

Counts
148 → 148
Iterations
IterNodes
done5001
21648
1447
0191

prune771.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

regimes624.0ms

Accuracy

83.6% (0.3b remaining)

Error of 1.7b against oracle of 1.4b and baseline of 3.0b

bsearch76.0ms

Steps
ItersRangePoint
7
9.841550302398954e-42
3.874978968996682e-40
1.9458480175732894e-41
5
-6.310986610275752e+40
-1.875294936264292e+40
-1.904673981023646e+40

simplify6.0ms

Iterations
IterNodes
done31
131
026

end0.0ms

sample1.1s

Algorithm
intervals
Results
488.0ms8710×body80valid