Details

Time bar (total: 15.1s)

sample58.0ms

Algorithm
intervals
Results
20.0ms358×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5000
103484
91175
8608
7349
6262
5173
4100
349
226
115
09

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) a)
5.4b
(fma y (/ (- z t) a) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/l*
add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
associate-/r*
expm1-log1p-u pow1 log1p-expm1-u add-log-exp associate-/l/
cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 50
Calls
2 calls:
17.0ms
(/ (- z t) a)
0.0ms
(fma y (/ (- z t) a) x)

series99.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- z t) a)
59.0ms
(fma y (/ (- z t) a) x)

simplify1.4s

Counts
56 → 56
Iterations
IterNodes
done5002
33627
2634
1199
094

prune280.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ y (/ a (- z t))) x)
0.0b
(/ a (- z t))
6.1b
(/ y (/ a (- z t)))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
246×times-frac
172×*-un-lft-identity
170×add-sqr-sqrt
120×add-cube-cbrt
68×fma-def
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
18×associate-/r/
10×add-cbrt-cube add-exp-log div-inv
flip3-- flip--
associate-/l*
add-log-exp
cbrt-undiv div-exp
expm1-log1p-u pow1 log1p-expm1-u
clear-num frac-2neg
+-commutative sum-log flip3-+ flip-+ distribute-lft-out
Counts
3 → 225
Calls
3 calls:
110.0ms
(+ (/ y (/ a (- z t))) x)
15.0ms
(/ a (- z t))
28.0ms
(/ y (/ a (- z t)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ (/ y (/ a (- z t))) x)
43.0ms
(/ a (- z t))
90.0ms
(/ y (/ a (- z t)))

simplify917.0ms

Counts
234 → 234
Iterations
IterNodes
done5001
22970
1643
0251

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 1 expressions with local error:

2.6b
(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y a) (- z t) x)

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(fma (/ y a) (- z t) x)

simplify1.8s

Counts
13 → 13
Iterations
IterNodes
done5002
42044
3282
294
141
024

prune80.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (fma (/ z a) y (/ (- t) (/ a y))) x)
3.0b
(fma (/ z a) y (/ (- t) (/ a y)))
4.7b
(/ (- t) (/ a y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
125×*-un-lft-identity
123×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-neg-in distribute-rgt-neg-in
14×neg-mul-1
13×associate-/r*
12×div-inv
10×associate-/l*
add-cbrt-cube add-exp-log
add-log-exp
expm1-log1p-u pow1 cbrt-undiv fma-def div-exp log1p-expm1-u
fma-udef
neg-sub0 +-commutative associate-+l+ clear-num sum-log frac-2neg flip3-+ div-sub distribute-frac-neg associate-/r/ flip-+ distribute-lft-out
Counts
3 → 200
Calls
3 calls:
4.0ms
(+ (fma (/ z a) y (/ (- t) (/ a y))) x)
0.0ms
(fma (/ z a) y (/ (- t) (/ a y)))
17.0ms
(/ (- t) (/ a y))

series169.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(+ (fma (/ z a) y (/ (- t) (/ a y))) x)
57.0ms
(fma (/ z a) y (/ (- t) (/ a y)))
42.0ms
(/ (- t) (/ a y))

simplify410.0ms

Counts
209 → 209
Iterations
IterNodes
done5000
11023
0345

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes737.0ms

Accuracy

68.2% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.4b

bsearch176.0ms

Steps
ItersRangePoint
6
9.587647791351453e+25
9.583338110176862e+26
3.3260024869602594e+26
8
3.3207391809551394e-143
1.3865205033157676e-139
6.452314596038024e-142
9
-3.27334652413423e-10
-2.567166085843448e-19
-1.5982814066709494e-10

simplify4.0ms

Iterations
IterNodes
done32
232
131
025

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s10743×body80valid