Details

Time bar (total: 42.5s)

sample46.0ms

Algorithm
intervals
Results
17.0ms333×body80valid

simplify8.6s

Counts
1 → 1
Iterations
IterNodes
done5000
214686
204333
193984
183625
173276
162923
152561
141997
131448
121088
11777
10527
9358
8284
7211
6171
5129
482
344
224
115
09

prune46.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 1 expressions with local error:

1.7b
(fma (- z t) (/ y a) x)

rewrite2.0ms

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:
1.0ms
(fma (- z t) (/ y a) x)

series117.0ms

Counts
1 → 3
Calls
1 calls:
116.0ms
(fma (- z t) (/ y a) x)

simplify3.5s

Counts
14 → 14
Iterations
IterNodes
done5012
41426
3254
286
142
025

prune303.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize120.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (- z t) (/ y a) x))
1.7b
(fma (- z t) (/ y a) x)
1.7b
(fma (- z t) (/ y a) x)
1.7b
(fma (- z t) (/ y a) x)

rewrite16.0ms

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:
6.0ms
(cbrt (fma (- z t) (/ y a) x))
3.0ms
(fma (- z t) (/ y a) x)
3.0ms
(fma (- z t) (/ y a) x)
3.0ms
(fma (- z t) (/ y a) x)

series802.0ms

Counts
4 → 12
Calls
4 calls:
540.0ms
(cbrt (fma (- z t) (/ y a) x))
83.0ms
(fma (- z t) (/ y a) x)
96.0ms
(fma (- z t) (/ y a) x)
81.0ms
(fma (- z t) (/ y a) x)

simplify8.2s

Counts
59 → 59
Iterations
IterNodes
done5000
44517
3971
2276
1120
063

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize267.0ms

Local error

Found 4 expressions with local error:

1.7b
(fma (- z t) (/ y a) x)
1.7b
(fma (- z t) (/ y a) x)
1.7b
(fma (- z t) (/ y a) x)
1.7b
(fma (- z t) (/ y a) x)

rewrite6.0ms

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:
1.0ms
(fma (- z t) (/ y a) x)
1.0ms
(fma (- z t) (/ y a) x)
1.0ms
(fma (- z t) (/ y a) x)
1.0ms
(fma (- z t) (/ y a) x)

series387.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(fma (- z t) (/ y a) x)
85.0ms
(fma (- z t) (/ y a) x)
104.0ms
(fma (- z t) (/ y a) x)
88.0ms
(fma (- z t) (/ y a) x)

simplify3.6s

Counts
56 → 56
Iterations
IterNodes
done5012
41426
3254
286
142
025

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.5b
(/ (* y (- z t)) a)

rewrite164.0ms

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:
30.0ms
(+ x (/ (* y (- z t)) a))
65.0ms
(* y (- z t))
63.0ms
(/ (* y (- z t)) a)

series250.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(+ x (/ (* y (- z t)) a))
63.0ms
(* y (- z t))
92.0ms
(/ (* y (- z t)) a)

simplify8.0s

Counts
100 → 100
Iterations
IterNodes
done5000
34404
21162
1438
0173

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes2.7s

Accuracy

23.3% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.5b

bsearch200.0ms

Steps
ItersRangePoint
8
2.035337811169731e-251
2.8194852871282345e-248
7.171838065420707e-249
9
-8.12540973971422e+111
-1.0495282834064671e+105
-1.7970758753613627e+105

simplify9.0ms

Iterations
IterNodes
done24
124
020

end0.0ms

sample1.7s

Algorithm
intervals
Results
915.0ms10662×body80valid