Details

Time bar (total: 11.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512011
618211
763211
8374511
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
11.6b
(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

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))
8.0ms
(/ (- x (* y z)) (- t (* a z)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- t (* a z))
55.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.2s

Counts
60 → 60
Iterations

Useful iterations: done (1.2s)

IterNodesCost
099821
1247801
2811732
33258728
done5000723

prune169.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
1.5b
(* y (/ z (- t (* a z))))
4.5b
(/ x (- t (* a z)))
7.9b
(/ z (- t (* a z)))

rewrite55.0ms

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:
30.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
12.0ms
(* y (/ z (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
4.0ms
(/ z (- t (* a z)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
41.0ms
(* y (/ z (- t (* a z))))
38.0ms
(/ x (- t (* a z)))
55.0ms
(/ z (- t (* a z)))

simplify663.0ms

Counts
156 → 156
Iterations

Useful iterations: done (658.0ms)

IterNodesCost
01902541
14552451
217552203
done50002199

prune451.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (- t (* a z)) z))
1.5b
(* y (/ 1 (/ (- t (* a z)) z)))
4.5b
(/ x (- t (* a z)))
7.8b
(/ (- t (* a z)) z)

rewrite53.0ms

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:
7.0ms
(/ 1 (/ (- t (* a z)) z))
27.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
4.0ms
(/ x (- t (* a z)))
6.0ms
(/ (- t (* a z)) z)

series170.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ 1 (/ (- t (* a z)) z))
42.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
40.0ms
(/ x (- t (* a z)))
32.0ms
(/ (- t (* a z)) z)

simplify1.6s

Counts
228 → 228
Iterations

Useful iterations: 2 (266.0ms)

IterNodesCost
02863364
17103001
225772555
done50012555

prune521.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ 1 (- (/ t z) a))))
0.3b
(/ 1 (- (/ t z) a))
1.5b
(* y (/ 1 (- (/ t z) a)))
4.5b
(/ x (- t (* a z)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
72×times-frac
63×*-un-lft-identity
48×add-cube-cbrt
24×associate-*r*
19×add-exp-log
15×fma-neg prod-diff
14×difference-of-squares
13×add-cbrt-cube
10×associate-/r/
9×associate-/r*
7×pow1 distribute-lft-out--
6×flip3-- flip-- associate-/l* add-log-exp
5×div-exp div-inv
4×expm1-log1p-u prod-exp log1p-expm1-u
3×cbrt-undiv associate-*l* unswap-sqr
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num un-div-inv frac-sub cbrt-unprod
1×sub-neg pow-flip diff-log pow-prod-down *-commutative inv-pow
Counts
4 → 173
Calls
4 calls:
27.0ms
(- (/ x (- t (* a z))) (* y (/ 1 (- (/ t z) a))))
15.0ms
(/ 1 (- (/ t z) a))
38.0ms
(* y (/ 1 (- (/ t z) a)))
4.0ms
(/ x (- t (* a z)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (/ x (- t (* a z))) (* y (/ 1 (- (/ t z) a))))
44.0ms
(/ 1 (- (/ t z) a))
30.0ms
(* y (/ 1 (- (/ t z) a)))
39.0ms
(/ x (- t (* a z)))

simplify1.1s

Counts
185 → 185
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02372908
15612539
218902291
done50022257

prune451.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.7b

regimes201.0ms

Accuracy

0% (1.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01519
12019
done2019

end0.0ms

sample532.0ms

Algorithm
intervals
Results
265.0ms8732×body80valid