Details

Time bar (total: 19.4s)

sample51.0ms

Algorithm
intervals
Results
19.0ms245×body80valid
4.0ms18×body320valid
3.0ms8×body1280valid
3.0ms9×body640valid
1.0ms9×body160valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5000
61890
5788
4299
3108
243
120
011

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.6b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
3.4b
(fma (/ (- z t) (- a t)) (- y x) x)

rewrite45.0ms

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/ insert-posit16 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 → 66
Calls
2 calls:
41.0ms
(/ (- z t) (- a t))
1.0ms
(fma (/ (- z t) (- a t)) (- y x) x)

series266.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ (- z t) (- a t))
183.0ms
(fma (/ (- z t) (- a t)) (- y x) x)

simplify2.2s

Counts
72 → 72
Iterations
IterNodes
done5001
32168
2680
1274
0118

prune445.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.5b
(/ 1 (/ (- a t) (- z t)))
3.4b
(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

rewrite104.0ms

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 insert-posit16 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 → 217
Calls
3 calls:
45.0ms
(/ (- a t) (- z t))
42.0ms
(/ 1 (/ (- a t) (- z t)))
1.0ms
(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

series489.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(/ (- a t) (- z t))
200.0ms
(/ 1 (/ (- a t) (- z t)))
210.0ms
(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

simplify1.9s

Counts
226 → 226
Iterations
IterNodes
done5008
22165
1712
0276

prune901.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.2b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
3.4b
(fma (* 1 (/ (- z t) (- a t))) (- y x) x)

rewrite28.0ms

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/ insert-posit16 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 → 66
Calls
2 calls:
25.0ms
(/ (- z t) (- a t))
1.0ms
(fma (* 1 (/ (- z t) (- a t))) (- y x) x)

series258.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ (- z t) (- a t))
176.0ms
(fma (* 1 (/ (- z t) (- a t))) (- y x) x)

simplify2.0s

Counts
72 → 72
Iterations
IterNodes
done5003
32120
2694
1277
0119

prune442.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.2b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.7b
(/ (- y x) (/ (- a t) (- z t)))
3.4b
(+ (/ (- y x) (/ (- a t) (- z t))) x)

rewrite407.0ms

Algorithm
rewrite-expression-head
Rules
610×times-frac
572×*-un-lft-identity
570×add-sqr-sqrt
200×add-cube-cbrt
185×distribute-lft-out-- difference-of-squares
160×fma-def
36×associate-/r*
26×associate-/r/
14×flip3-- div-inv flip--
10×add-cbrt-cube add-exp-log associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×expm1-log1p-u pow1 div-sub insert-posit16 log1p-expm1-u
2×clear-num frac-2neg
1×+-commutative sum-log flip3-+ associate-+l- flip-+ distribute-lft-out
Counts
3 → 443
Calls
3 calls:
39.0ms
(/ (- a t) (- z t))
59.0ms
(/ (- y x) (/ (- a t) (- z t)))
269.0ms
(+ (/ (- y x) (/ (- a t) (- z t))) x)

series597.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(/ (- a t) (- z t))
272.0ms
(/ (- y x) (/ (- a t) (- z t)))
251.0ms
(+ (/ (- y x) (/ (- a t) (- z t))) x)

simplify2.2s

Counts
452 → 452
Iterations
IterNodes
done5000
23931
11162
0363

prune1.9s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.1b

regimes552.0ms

Accuracy

15.4% (6.9b remaining)

Error of 10.5b against oracle of 3.6b and baseline of 11.8b

bsearch70.0ms

Steps
ItersRangePoint
7
2.1315192707751804e+103
1.717765073009649e+105
1.6895069144640092e+105
3
-9.910431432913418e+250
-7.257540273455602e+250
-7.423345970921716e+250

simplify4.0ms

Iterations
IterNodes
done30
130
023

end0.0ms

sample1.6s

Algorithm
intervals
Results
929.0ms7765×body80valid
135.0ms494×body640valid
105.0ms269×body1280valid
94.0ms412×body320valid
33.0ms17×body2560valid
27.0ms263×body160valid