Details

Time bar (total: 22.0s)

sample36.0ms

Algorithm
intervals
Results
23.0ms270×body80valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5009
94334
83012
72159
61263
5559
4207
3103
258
125
012

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
41×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
15×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×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 → 72
Calls
2 calls:
36.0ms
(/ (- z y) (- (+ 1.0 t) z))
0.0ms
(fma (/ (- z y) (- (+ 1.0 t) z)) a x)

series294.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(/ (- z y) (- (+ 1.0 t) z))
174.0ms
(fma (/ (- z y) (- (+ 1.0 t) z)) a x)

simplify2.5s

Counts
78 → 78
Iterations
IterNodes
done5002
33545
2844
1300
0124

prune446.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
293×*-un-lft-identity
258×times-frac
215×add-sqr-sqrt
101×add-cube-cbrt
83×distribute-lft-out--
57×difference-of-squares
41×associate-/r*
26×distribute-lft-out
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
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 → 243
Calls
3 calls:
99.0ms
(/ (- (+ 1.0 t) z) (- z y))
31.0ms
(/ 1 (/ (- (+ 1.0 t) z) (- z y)))
0.0ms
(fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)

series503.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(/ (- (+ 1.0 t) z) (- z y))
166.0ms
(/ 1 (/ (- (+ 1.0 t) z) (- z y)))
252.0ms
(fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)

simplify1.9s

Counts
252 → 252
Iterations
IterNodes
done5003
22081
1773
0292

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ a (/ (+ (- t z) 1.0) (- z y))) x)
0.0b
(/ (+ (- t z) 1.0) (- z y))
1.3b
(/ a (/ (+ (- t z) 1.0) (- z y)))

rewrite327.0ms

Algorithm
rewrite-expression-head
Rules
445×*-un-lft-identity
386×times-frac
238×add-sqr-sqrt
156×add-cube-cbrt
98×fma-def
83×distribute-lft-out
82×distribute-lft-out--
41×difference-of-squares
36×associate-/r*
18×associate-/r/
10×add-cbrt-cube add-exp-log div-inv
8×flip3-- flip-- associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative sum-log div-sub associate-+l-
Counts
3 → 313
Calls
3 calls:
186.0ms
(+ (/ a (/ (+ (- t z) 1.0) (- z y))) x)
95.0ms
(/ (+ (- t z) 1.0) (- z y))
31.0ms
(/ a (/ (+ (- t z) 1.0) (- z y)))

series645.0ms

Counts
3 → 9
Calls
3 calls:
307.0ms
(+ (/ a (/ (+ (- t z) 1.0) (- z y))) x)
100.0ms
(/ (+ (- t z) 1.0) (- z y))
238.0ms
(/ a (/ (+ (- t z) 1.0) (- z y)))

simplify2.2s

Counts
322 → 322
Iterations
IterNodes
done5002
22646
1752
0283

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
12.3b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
843×*-un-lft-identity
698×times-frac
535×add-sqr-sqrt
372×add-cube-cbrt
300×prod-diff
141×distribute-lft-out--
126×distribute-lft-out
80×difference-of-squares
25×div-inv
19×associate-/r*
7×add-cbrt-cube add-exp-log
5×associate-/l*
4×associate-/r/ add-log-exp
3×cbrt-undiv fma-neg div-exp
2×expm1-log1p-u pow1 flip3-- div-sub insert-posit16 log1p-expm1-u flip-- associate-/l/
1×clear-num sub-neg frac-2neg diff-log associate--r-
Counts
2 → 463
Calls
2 calls:
95.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
48.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series376.0ms

Counts
2 → 6
Calls
2 calls:
166.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
210.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify2.2s

Counts
469 → 469
Iterations
IterNodes
done5002
11851
0637

prune2.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes406.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
011

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s8486×body80valid
1.0ms1×body1280valid