Details

Time bar (total: 19.1s)

sample40.0ms

Algorithm
intervals
Results
15.0ms281×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01011
12011
23610
35910
410410
517810
630210
735910
844610
971010
10127010
11359710
done500010

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.8b
(fma (/ (- z t) (- a t)) y x)

rewrite29.0ms

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:
26.0ms
(/ (- z t) (- a t))
0.0ms
(fma (/ (- z t) (- a t)) y x)

series219.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(/ (- z t) (- a t))
127.0ms
(fma (/ (- z t) (- a t)) y x)

simplify2.7s

Counts
70 → 70
Iterations

Useful iterations: 3 (850.0ms)

IterNodesCost
0113884
1264856
2826810
34312808
done5000808

prune414.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.4b
(/ 1 (/ (- a t) (- z t)))
1.8b
(fma (/ 1 (/ (- a t) (- z t))) y x)

rewrite85.0ms

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:
37.0ms
(/ (- a t) (- z t))
29.0ms
(/ 1 (/ (- a t) (- z t)))
0.0ms
(fma (/ 1 (/ (- a t) (- z t))) y x)

series591.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(/ (- a t) (- z t))
186.0ms
(/ 1 (/ (- a t) (- z t)))
346.0ms
(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify1.7s

Counts
223 → 223
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02703746
17033234
240063114
done50023100

prune801.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.3b
(/ y (/ (- a t) (- z t)))

rewrite77.0ms

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:
28.0ms
(/ (- a t) (- z t))
36.0ms
(/ y (/ (- a t) (- z t)))

series344.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(/ (- a t) (- z t))
249.0ms
(/ y (/ (- a t) (- z t)))

simplify1.5s

Counts
204 → 204
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02743524
17433340
238813202
done50013198

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
2.3b
(/ y (/ (* (cbrt (- a t)) (cbrt (- a t))) (/ (- z t) (cbrt (- a t)))))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
497×times-frac
249×add-sqr-sqrt *-un-lft-identity
139×add-cube-cbrt
115×cbrt-prod
55×distribute-lft-out-- difference-of-squares
51×associate-/r*
22×add-exp-log
16×add-cbrt-cube
14×cbrt-div
13×associate-/r/
11×cbrt-undiv div-exp
9×div-inv
7×flip3-- flip--
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/l*
2×prod-exp cbrt-unprod
1×frac-2neg clear-num
Counts
4 → 281
Calls
4 calls:
8.0ms
(cbrt (- a t))
5.0ms
(cbrt (- a t))
5.0ms
(cbrt (- a t))
88.0ms
(/ y (/ (* (cbrt (- a t)) (cbrt (- a t))) (/ (- z t) (cbrt (- a t)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
261.0ms
(cbrt (- a t))
264.0ms
(cbrt (- a t))
300.0ms
(cbrt (- a t))
231.0ms
(/ y (/ (* (cbrt (- a t)) (cbrt (- a t))) (/ (- z t) (cbrt (- a t)))))

simplify889.0ms

Counts
293 → 293
Iterations

Useful iterations: done (869.0ms)

IterNodesCost
04897716
113867478
done50007162

prune1.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes425.0ms

Accuracy

-3% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch109.0ms

Steps
ItersRangePoint
3
1.666090664139391e-91
2.00034607964489e-91
1.8958912622994213e-91
9
-2.2895013070838991e+108
-2.036471125753259e+101
-2.0685894439031453e+101

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02143
13033
done3033

end0.0ms

sample1.4s

Algorithm
intervals
Results
629.0ms8746×body80valid
0.0ms1×body640valid
0.0ms1×body320valid