Details

Time bar (total: 14.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01011
12111
23610
35910
49610
515110
620910
723510
828710
936210
1045310
1170210
1291310
13111310
14115810
15116510
done116510

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:
12.0ms
(/ (- z t) (- z a))
0.0ms
(fma (/ (- z t) (- z a)) y x)

series118.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- z t) (- z a))
73.0ms
(fma (/ (- z t) (- z a)) y x)

simplify894.0ms

Counts
70 → 70
Iterations

Useful iterations: done (892.0ms)

IterNodesCost
0113884
1261856
2679808
32192808
done5000806

prune183.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
713×*-un-lft-identity
703×add-sqr-sqrt
693×times-frac
441×prod-diff
413×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 581
Calls
4 calls:
6.0ms
(/ z (- z a))
5.0ms
(/ t (- z a))
73.0ms
(- (/ z (- z a)) (/ t (- z a)))
0.0ms
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

series284.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ z (- z a))
30.0ms
(/ t (- z a))
107.0ms
(- (/ z (- z a)) (/ t (- z a)))
105.0ms
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

simplify1.4s

Counts
593 → 593
Iterations

Useful iterations: done (1.3s)

IterNodesCost
056928402
1123825503
2325319509
done500019446

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- z a))
0.0b
(- (/ z (- z a)) (/ 1 (/ (- z a) t)))
0.6b
(/ 1 (/ (- z a) t))
1.0b
(fma (- (/ z (- z a)) (/ 1 (/ (- z a) t))) y x)

rewrite370.0ms

Algorithm
rewrite-expression-head
Rules
3240×times-frac
2445×add-sqr-sqrt
2428×*-un-lft-identity
1624×add-cube-cbrt
1302×prod-diff
404×difference-of-squares
399×distribute-lft-out--
154×div-inv
150×associate-/r/
65×flip3-- flip--
24×associate-/r*
21×fma-neg
17×add-exp-log
11×add-cbrt-cube
8×div-exp
6×associate-/l* add-log-exp
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip diff-log frac-sub fma-udef inv-pow
Counts
4 → 1503
Calls
4 calls:
9.0ms
(/ z (- z a))
137.0ms
(- (/ z (- z a)) (/ 1 (/ (- z a) t)))
12.0ms
(/ 1 (/ (- z a) t))
0.0ms
(fma (- (/ z (- z a)) (/ 1 (/ (- z a) t))) y x)

series326.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ z (- z a))
108.0ms
(- (/ z (- z a)) (/ 1 (/ (- z a) t)))
65.0ms
(/ 1 (/ (- z a) t))
104.0ms
(fma (- (/ z (- z a)) (/ 1 (/ (- z a) t))) y x)

simplify1.2s

Counts
1515 → 1515
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01428103561
1318687604
done500078889

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- z a))
0.0b
(- (/ z (- z a)) (* t (/ 1 (- z a))))
0.3b
(* t (/ 1 (- z a)))
1.0b
(fma (- (/ z (- z a)) (* t (/ 1 (- z a)))) y x)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
69×*-un-lft-identity
62×times-frac
42×add-cube-cbrt
21×fma-neg associate-*r* prod-diff
17×add-exp-log
13×distribute-lft-out-- difference-of-squares
11×add-cbrt-cube
8×associate-/r/
7×pow1
6×add-log-exp
5×flip3-- associate-/r* flip-- div-inv
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u
3×associate-*r/ associate-*l* un-div-inv associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp frac-sub cbrt-unprod sub-div
1×sub-neg distribute-rgt-out-- pow-flip frac-2neg diff-log pow-prod-down clear-num *-commutative fma-udef inv-pow
Counts
4 → 160
Calls
4 calls:
6.0ms
(/ 1 (- z a))
40.0ms
(- (/ z (- z a)) (* t (/ 1 (- z a))))
16.0ms
(* t (/ 1 (- z a)))
0.0ms
(fma (- (/ z (- z a)) (* t (/ 1 (- z a)))) y x)

series272.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ 1 (- z a))
111.0ms
(- (/ z (- z a)) (* t (/ 1 (- z a))))
27.0ms
(* t (/ 1 (- z a)))
101.0ms
(fma (- (/ z (- z a)) (* t (/ 1 (- z a)))) y x)

simplify2.9s

Counts
172 → 172
Iterations

Useful iterations: 3 (972.0ms)

IterNodesCost
02122417
14882013
215881741
349401554
done50001554

prune388.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

regimes155.0ms

Accuracy

0% (0.6b remaining)

Error of 1.4b against oracle of 0.8b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01216
11416
done1416

end0.0ms

sample514.0ms

Algorithm
intervals
Results
256.0ms8737×body80valid
0.0ms1×body320valid