Details

Time bar (total: 23.5s)

sample29.0ms

Algorithm
intervals
Results
11.0ms281×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
010205
120205
236180
359180
4104180
5179180
6270180
7313180
8399180
9657180
101180180
113462180
done5000180

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:
20.0ms
(/ (- z t) (- a t))
0.0ms
(fma (/ (- z t) (- a t)) y x)

series213.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(/ (- z t) (- a t))
124.0ms
(fma (/ (- z t) (- a t)) y x)

simplify2.5s

Counts
70 → 70
Iterations

Useful iterations: 2 (212.0ms)

IterNodesCost
011318029
126417105
283317025
3464817025
done500017025

prune475.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite206.0ms

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:
120.0ms
(- (/ z (- a t)) (/ t (- a t)))
9.0ms
(/ t (- a t))
22.0ms
(/ z (- a t))
1.0ms
(fma (- (/ z (- a t)) (/ t (- a t))) y x)

series470.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(- (/ z (- a t)) (/ t (- a t)))
68.0ms
(/ t (- a t))
32.0ms
(/ z (- a t))
269.0ms
(fma (- (/ z (- a t)) (/ t (- a t))) y x)

simplify2.9s

Counts
593 → 593
Iterations

Useful iterations: 2 (1.4s)

IterNodesCost
0570438432
11278383488
23843337635
done5000337635

prune3.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.2b
(/ 1 (/ (- a t) (- z t)))
0.3b
(fma (/ 1 (/ (- a t) (- z t))) y x)

rewrite73.0ms

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 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 → 214
Calls
3 calls:
32.0ms
(/ (- a t) (- z t))
30.0ms
(/ 1 (/ (- a t) (- z t)))
0.0ms
(fma (/ 1 (/ (- a t) (- z t))) y x)

series596.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(/ (- a t) (- z t))
196.0ms
(/ 1 (/ (- a t) (- z t)))
319.0ms
(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify2.1s

Counts
223 → 223
Iterations

Useful iterations: done (2.0s)

IterNodesCost
027082720
170366251
2406665660
done500064121

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
1×div-sub
Counts
2 → 198
Calls
2 calls:
24.0ms
(/ (- a t) (- z t))
28.0ms
(/ y (/ (- a t) (- z t)))

series304.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(/ (- a t) (- z t))
216.0ms
(/ y (/ (- a t) (- z t)))

simplify2.1s

Counts
204 → 204
Iterations

Useful iterations: done (2.1s)

IterNodesCost
027478597
174373105
2385171475
done500171395

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes850.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010205
111205
done11205

end0.0ms

sample945.0ms

Algorithm
intervals
Results
541.0ms8781×body80valid