Details

Time bar (total: 16.5s)

sample41.0ms

Algorithm
intervals
Results
22.0ms359×body80valid

simplify5.0s

Counts
1 → 1
Iterations
IterNodes
done5001
143971
132674
121869
111363
10929
9665
8519
7316
6203
5154
495
348
225
114
08

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

2.3b
(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
0.0ms
(fma (/ y t) (- z x) x)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(fma (/ y t) (- z x) x)

simplify1.6s

Counts
14 → 14
Iterations
IterNodes
done5007
41475
3267
294
141
024

prune79.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y t) (- z x) x))
2.3b
(fma (/ y t) (- z x) x)
2.3b
(fma (/ y t) (- z x) x)
2.3b
(fma (/ y t) (- z x) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt (fma (/ y t) (- z x) x))
0.0ms
(fma (/ y t) (- z x) x)
0.0ms
(fma (/ y t) (- z x) x)
0.0ms
(fma (/ y t) (- z x) x)

series338.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt (fma (/ y t) (- z x) x))
31.0ms
(fma (/ y t) (- z x) x)
35.0ms
(fma (/ y t) (- z x) x)
32.0ms
(fma (/ y t) (- z x) x)

simplify1.2s

Counts
59 → 59
Iterations
IterNodes
done5001
31106
2290
1119
062

prune334.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

2.3b
(fma (/ y t) (- z x) x)
2.3b
(fma (/ y t) (- z x) x)
2.3b
(fma (/ y t) (- z x) x)
2.3b
(fma (/ y t) (- z x) x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 44
Calls
4 calls:
0.0ms
(fma (/ y t) (- z x) x)
0.0ms
(fma (/ y t) (- z x) x)
0.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)

series181.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(fma (/ y t) (- z x) x)
43.0ms
(fma (/ y t) (- z x) x)
49.0ms
(fma (/ y t) (- z x) x)
38.0ms
(fma (/ y t) (- z x) x)

simplify1.6s

Counts
56 → 56
Iterations
IterNodes
done5007
41475
3267
294
141
024

prune413.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
7.3b
(/ (* y (- z x)) t)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube add-exp-log
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u associate-/r* fma-def times-frac associate-*l* insert-posit16 log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 91
Calls
3 calls:
34.0ms
(* y (- z x))
12.0ms
(+ x (/ (* y (- z x)) t))
21.0ms
(/ (* y (- z x)) t)

series188.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* y (- z x))
49.0ms
(+ x (/ (* y (- z x)) t))
83.0ms
(/ (* y (- z x)) t)

simplify2.4s

Counts
100 → 100
Iterations
IterNodes
done5000
34839
21198
1415
0170

prune374.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes411.0ms

Accuracy

33.2% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.8b

bsearch190.0ms

Steps
ItersRangePoint
9
9.02500824207313e+49
9.872402992073885e+54
1.9712458760545623e+50
10
-5.532978886764296e-254
-5.982906234969489e-270
-5.465265749393871e-262

simplify4.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.5s10692×body80valid