Details

Time bar (total: 25.4s)

sample50.0ms

Algorithm
intervals
Results
19.0ms280×body80valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
01011
11811
23311
36110
411610
519010
628010
737710
867110
9125710
10367910
done500010

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 1 expressions with local error:

3.9b
(fma (/ y (- z a)) (- z t) x)

rewrite1.0ms

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

series161.0ms

Counts
1 → 3
Calls
1 calls:
161.0ms
(fma (/ y (- z a)) (- z t) x)

simplify1.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
023160
140160
292140
3271140
41283140
done5000140

prune152.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- z a)))
0.0b
(* y (- z t))
11.3b
(/ (* y (- z t)) (- z a))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 times-frac associate-*r* associate-/r* add-log-exp
4×associate-*r/
3×expm1-log1p-u flip3-- fma-def associate-*l* flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 94
Calls
3 calls:
43.0ms
(+ x (/ (* y (- z t)) (- z a)))
56.0ms
(* y (- z t))
58.0ms
(/ (* y (- z t)) (- z a))

series359.0ms

Counts
3 → 9
Calls
3 calls:
159.0ms
(+ x (/ (* y (- z t)) (- z a)))
70.0ms
(* y (- z t))
129.0ms
(/ (* y (- z t)) (- z a))

simplify1.8s

Counts
103 → 103
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01821394
14751183
219941009
done5000972

prune658.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ (- z a) (- z t))))
0.0b
(/ (- z a) (- z t))
2.1b
(/ y (/ (- z a) (- z t)))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
198×*-un-lft-identity
196×add-sqr-sqrt
92×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-def log1p-expm1-u
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 215
Calls
3 calls:
110.0ms
(+ x (/ y (/ (- z a) (- z t))))
55.0ms
(/ (- z a) (- z t))
49.0ms
(/ y (/ (- z a) (- z t)))

series452.0ms

Counts
3 → 9
Calls
3 calls:
160.0ms
(+ x (/ y (/ (- z a) (- z t))))
80.0ms
(/ (- z a) (- z t))
211.0ms
(/ y (/ (- z a) (- z t)))

simplify2.6s

Counts
224 → 224
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02983787
18173573
241173420
done50013414

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
0.0b
(/ (- z a) (- z t))
0.4b
(/ 1 (/ (/ (- z a) (- z t)) y))
2.1b
(/ (/ (- z a) (- z t)) y)

rewrite636.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
798×*-un-lft-identity
795×add-sqr-sqrt
451×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
32×add-exp-log
24×div-inv
20×add-cbrt-cube
19×div-exp
18×flip3-- flip--
10×cbrt-undiv
6×add-log-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u
3×rec-exp fma-def frac-2neg 1-exp div-sub clear-num associate-/l/
2×distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
4 → 635
Calls
4 calls:
280.0ms
(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
49.0ms
(/ (- z a) (- z t))
103.0ms
(/ 1 (/ (/ (- z a) (- z t)) y))
74.0ms
(/ (/ (- z a) (- z t)) y)

series777.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
82.0ms
(/ (- z a) (- z t))
378.0ms
(/ 1 (/ (/ (- z a) (- z t)) y))
159.0ms
(/ (/ (- z a) (- z t)) y)

simplify2.8s

Counts
647 → 647
Iterations

Useful iterations: done (2.8s)

IterNodesCost
073314305
1219112645
done500112156

prune3.2s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes847.0ms

Accuracy

16.4% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.2b

bsearch188.0ms

Steps
ItersRangePoint
11
1.3903544171247941e-19
58383.88522329229
5.116128803936366e-19
9
-1.0505325780696424e-96
-4.0040255522943795e-102
-5.737065098509035e-97

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02342
12942
done2942

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s8690×body80valid
1.0ms2×body1280valid
0.0ms2×body160valid