Details

Time bar (total: 17.1s)

sample52.0ms

Algorithm
intervals
Results
20.0ms283×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.1b
(fma (/ (- z t) (- a t)) y x)

rewrite40.0ms

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:
35.0ms
(/ (- z t) (- a t))
0.0ms
(fma (/ (- z t) (- a t)) y x)

series233.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(/ (- z t) (- a t))
140.0ms
(fma (/ (- z t) (- a t)) y x)

simplify3.6s

Counts
70 → 70
Iterations

Useful iterations: 4 (2.4s)

IterNodesCost
0113884
1259856
2632808
31589808
44609806
done5000806

prune254.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.7b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.2b
(/ 1 (/ (- a t) (- z t)))
1.1b
(fma (/ 1 (/ (- a t) (- z t))) y x)

rewrite99.0ms

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:
38.0ms
(/ (- a t) (- z t))
43.0ms
(/ 1 (/ (- a t) (- z t)))
1.0ms
(fma (/ 1 (/ (- a t) (- z t))) y x)

series554.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(/ (- a t) (- z t))
197.0ms
(/ 1 (/ (- a t) (- z t)))
279.0ms
(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify2.8s

Counts
223 → 223
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
02703746
16053234
213782915
337372837
done50002837

prune545.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ y (/ (- a t) (- z t))) x)
0.0b
(/ (- a t) (- z t))
2.0b
(/ y (/ (- a t) (- z t)))

rewrite314.0ms

Algorithm
rewrite-expression-head
Rules
386×times-frac
322×*-un-lft-identity
320×add-sqr-sqrt
156×add-cube-cbrt
98×fma-def
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
18×associate-/r/
10×add-exp-log add-cbrt-cube div-inv
9×flip3-- flip--
8×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 310
Calls
3 calls:
210.0ms
(+ (/ y (/ (- a t) (- z t))) x)
33.0ms
(/ (- a t) (- z t))
27.0ms
(/ y (/ (- a t) (- z t)))

series613.0ms

Counts
3 → 9
Calls
3 calls:
335.0ms
(+ (/ y (/ (- a t) (- z t))) x)
69.0ms
(/ (- a t) (- z t))
209.0ms
(/ y (/ (- a t) (- z t)))

simplify1.7s

Counts
319 → 319
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02983793
16943547
224383428
done50013412

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
2.8b
(fma (/ y (- a t)) (- z t) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
12.0ms
(/ y (- a t))
1.0ms
(fma (/ y (- a t)) (- z t) x)

series298.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ y (- a t))
263.0ms
(fma (/ y (- a t)) (- z t) x)

simplify1.8s

Counts
55 → 55
Iterations

Useful iterations: 4 (678.0ms)

IterNodesCost
092550
1167533
2348493
3761491
42276490
done5000490

prune247.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample1.2s

Algorithm
intervals
Results
470.0ms8764×body80valid
1.0ms3×body1280valid
0.0ms1×body320valid