Details

Time bar (total: 19.2s)

sample29.0ms

Algorithm
intervals
Results
11.0ms288×body80valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5000
103638
91242
8657
7374
6278
5190
4116
361
233
118
010

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.5b
(fma (/ (- z t) (- z a)) y x)

rewrite25.0ms

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/ 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 → 64
Calls
2 calls:
21.0ms
(/ (- z t) (- z a))
0.0ms
(fma (/ (- z t) (- z a)) y x)

series184.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (- z t) (- z a))
117.0ms
(fma (/ (- z t) (- z a)) y x)

simplify1.9s

Counts
70 → 70
Iterations
IterNodes
done5000
34799
2831
1266
0113

prune413.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- z a)) (/ t (- z a)))
0.0b
(/ t (- z a))
0.0b
(/ z (- z a))
1.5b
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

rewrite235.0ms

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-cbrt-cube add-exp-log
6×associate-/l* add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 581
Calls
4 calls:
133.0ms
(- (/ z (- z a)) (/ t (- z a)))
9.0ms
(/ t (- z a))
17.0ms
(/ z (- z a))
1.0ms
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

series498.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(- (/ z (- z a)) (/ t (- z a)))
54.0ms
(/ t (- z a))
86.0ms
(/ z (- z a))
180.0ms
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

simplify1.8s

Counts
593 → 593
Iterations
IterNodes
done5000
23789
11279
0569

prune3.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- z a))
0.0b
(/ 1 (- z a))
0.1b
(fma z (/ 1 (- z a)) (- (/ t (- z a))))
1.5b
(fma (fma z (/ 1 (- z a)) (- (/ t (- z a)))) y x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt *-un-lft-identity
30×times-frac
24×add-cube-cbrt
10×associate-/r* add-exp-log
8×add-cbrt-cube distribute-lft-out-- difference-of-squares
6×associate-/l*
5×pow1
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×div-exp
2×cbrt-undiv clear-num frac-2neg flip3-- fma-udef div-inv flip--
1×rec-exp 1-exp pow-flip inv-pow
Counts
4 → 102
Calls
4 calls:
9.0ms
(/ t (- z a))
10.0ms
(/ 1 (- z a))
0.0ms
(fma z (/ 1 (- z a)) (- (/ t (- z a))))
0.0ms
(fma (fma z (/ 1 (- z a)) (- (/ t (- z a)))) y x)

series455.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ t (- z a))
68.0ms
(/ 1 (- z a))
162.0ms
(fma z (/ 1 (- z a)) (- (/ t (- z a))))
172.0ms
(fma (fma z (/ 1 (- z a)) (- (/ t (- z a)))) y x)

simplify671.0ms

Counts
114 → 114
Iterations
IterNodes
done5000
2901
1273
0145

prune601.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ y (/ (- z a) (- z t))) x)
0.0b
(/ (- z a) (- z t))
3.7b
(/ y (/ (- z a) (- z t)))

rewrite247.0ms

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-cbrt-cube add-exp-log div-inv
9×flip3-- flip--
8×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 log1p-expm1-u
2×clear-num frac-2neg associate-/l/
1×+-commutative sum-log flip3-+ div-sub flip-+ distribute-lft-out
Counts
3 → 310
Calls
3 calls:
155.0ms
(+ (/ y (/ (- z a) (- z t))) x)
36.0ms
(/ (- z a) (- z t))
21.0ms
(/ y (/ (- z a) (- z t)))

series395.0ms

Counts
3 → 9
Calls
3 calls:
158.0ms
(+ (/ y (/ (- z a) (- z t))) x)
51.0ms
(/ (- z a) (- z t))
185.0ms
(/ y (/ (- z a) (- z t)))

simplify1.4s

Counts
319 → 319
Iterations
IterNodes
done5001
24067
1817
0298

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes512.0ms

Accuracy

70.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify2.0ms

Iterations
IterNodes
done25
125
019

end0.0ms

sample1.4s

Algorithm
intervals
Results
454.0ms8712×body80valid