Details

Time bar (total: 19.9s)

sample56.0ms

Algorithm
intervals
Results
35.0ms289×body80valid

simplify4.4s

Counts
1 → 1
Iterations
IterNodes
done5000
224995
214713
204418
194136
183837
173514
163152
152742
142228
131882
121295
11753
10441
9341
8282
7255
6219
5152
495
358
237
121
010

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.8b
(fma (/ (- z t) (- z a)) y x)

rewrite24.0ms

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-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip-- add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp fma-udef div-inv
Counts
2 → 66
Calls
2 calls:
23.0ms
(/ (- z t) (- z a))
0.0ms
(fma (/ (- z t) (- z a)) y x)

series179.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ (- z t) (- z a))
116.0ms
(fma (/ (- z t) (- z a)) y x)

simplify1.9s

Counts
72 → 72
Iterations
IterNodes
done5001
32237
2655
1268
0115

prune356.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.2b
(/ 1 (/ (- z a) (- z t)))
0.8b
(fma (/ 1 (/ (- z a) (- z t))) y x)

rewrite60.0ms

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-- div-inv flip--
4×pow1 cbrt-undiv
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp associate-/l/
1×div-sub fma-udef pow-flip inv-pow
Counts
3 → 217
Calls
3 calls:
19.0ms
(/ (- z a) (- z t))
36.0ms
(/ 1 (/ (- z a) (- z t)))
0.0ms
(fma (/ 1 (/ (- z a) (- z t))) y x)

series381.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(/ (- z a) (- z t))
159.0ms
(/ 1 (/ (- z a) (- z t)))
147.0ms
(fma (/ 1 (/ (- z a) (- z t))) y x)

simplify2.0s

Counts
226 → 226
Iterations
IterNodes
done5003
22257
1703
0272

prune813.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z t))
0.2b
(/ (/ 1 (- z a)) (/ 1 (- z t)))
0.8b
(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
1116×times-frac
681×add-sqr-sqrt *-un-lft-identity
409×add-cube-cbrt
136×distribute-lft-out-- difference-of-squares
91×associate-/r/
47×add-exp-log
46×div-inv
45×flip3-- flip--
34×div-exp
26×associate-/r*
24×associate-/l*
17×add-cbrt-cube
9×cbrt-undiv rec-exp 1-exp
4×pow1
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×fma-udef pow-flip inv-pow associate-/l/
Counts
3 → 573
Calls
3 calls:
12.0ms
(/ 1 (- z t))
22.0ms
(/ (/ 1 (- z a)) (/ 1 (- z t)))
0.0ms
(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

series356.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ 1 (- z t))
147.0ms
(/ (/ 1 (- z a)) (/ 1 (- z t)))
146.0ms
(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

simplify4.2s

Counts
582 → 582
Iterations
IterNodes
done5001
12340
0742

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
11.0b
(* (/ y (- z a)) (- z t))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
50×*-un-lft-identity
34×add-cube-cbrt
31×times-frac
21×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube add-exp-log
8×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-*r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×expm1-log1p-u frac-times cbrt-undiv sub-neg div-exp prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
Counts
2 → 111
Calls
2 calls:
14.0ms
(/ y (- z a))
43.0ms
(* (/ y (- z a)) (- z t))

series179.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ y (- z a))
146.0ms
(* (/ y (- z a)) (- z t))

simplify1.5s

Counts
117 → 117
Iterations
IterNodes
done5000
21441
1529
0194

prune532.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes255.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
012

end0.0ms

sample1.3s

Algorithm
intervals
Results
884.0ms8699×body80valid