Details

Time bar (total: 13.1s)

sample23.0ms

Algorithm
intervals
Results
8.0ms276×body80valid

simplify990.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01011
12011
23610
35910
410210
516110
621210
724010
827810
931910
1040410
1150210
1257010
1363410
1466210
done66210

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
0.3b
(fma (/ (- z t) (- a t)) y x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
23.0ms
(/ (- z t) (- a t))
0.0ms
(fma (/ (- z t) (- a t)) y x)

series146.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- z t) (- a t))
91.0ms
(fma (/ (- z t) (- a t)) y x)

simplify2.4s

Counts
70 → 70
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
0113884
1259856
2632808
31589808
44609806
done5000806

prune196.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.3b
(/ 1 (/ (- a t) (- z t)))
0.3b
(fma (/ 1 (/ (- a t) (- z t))) y x)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
26.0ms
(/ (- a t) (- z t))
25.0ms
(/ 1 (/ (- a t) (- z t)))
0.0ms
(fma (/ 1 (/ (- a t) (- z t))) y x)

series429.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ (- a t) (- z t))
153.0ms
(/ 1 (/ (- a t) (- z t)))
220.0ms
(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify2.0s

Counts
223 → 223
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
02703746
16053234
213782915
337372837
done50002837

prune427.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.0b
(/ y (/ (- a t) (- z t)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
27.0ms
(/ (- a t) (- z t))
26.0ms
(/ y (/ (- a t) (- z t)))

series227.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- a t) (- z t))
172.0ms
(/ y (/ (- a t) (- z t)))

simplify1.1s

Counts
204 → 204
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02743524
16253300
222493198
done50003192

prune559.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ a (- z t)) (/ t (- z t)))
0.0b
(/ a (- z t))
0.0b
(/ t (- z t))
1.0b
(/ y (- (/ a (- z t)) (/ t (- z t))))

rewrite316.0ms

Algorithm
rewrite-expression-head
Rules
848×*-un-lft-identity
819×times-frac
798×add-sqr-sqrt
444×add-cube-cbrt
441×prod-diff
197×distribute-lft-out--
167×difference-of-squares
114×associate-/r/
57×flip3-- flip--
56×div-inv
28×associate-/r*
21×fma-neg
15×distribute-rgt-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×cbrt-undiv frac-2neg div-exp clear-num
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 664
Calls
4 calls:
111.0ms
(- (/ a (- z t)) (/ t (- z t)))
11.0ms
(/ a (- z t))
14.0ms
(/ t (- z t))
110.0ms
(/ y (- (/ a (- z t)) (/ t (- z t))))

series294.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- (/ a (- z t)) (/ t (- z t)))
41.0ms
(/ a (- z t))
49.0ms
(/ t (- z t))
129.0ms
(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify1.7s

Counts
676 → 676
Iterations

Useful iterations: done (1.6s)

IterNodesCost
067430232
1140527200
2322621186
done500018729

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01317
11817
done1817

end0.0ms

sample617.0ms

Algorithm
intervals
Results
255.0ms8703×body80valid
0.0ms1×body320valid