Details

Time bar (total: 18.5s)

sample30.0ms

Algorithm
intervals
Results
13.0ms317×body80valid

simplify7.5s

Counts
1 → 1
Iterations
IterNodes
done5001
82073
7633
6299
5193
4115
362
227
114
08

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize12.0ms

Local error

Found 1 expressions with local error:

2.0b
(fma (/ z t) (- y x) x)

rewrite1.0ms

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

series63.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(fma (/ z t) (- y x) x)

simplify2.3s

Counts
13 → 13
Iterations
IterNodes
done5000
41922
3277
291
141
023

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ z t) (- y x)) x)
6.8b
(* (/ z t) (- y x))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
add-cbrt-cube add-exp-log
associate-*r*
pow1 sub-neg add-log-exp
expm1-log1p-u frac-times flip3-- prod-exp associate-*r/ cbrt-unprod log1p-expm1-u flip-- unswap-sqr
cbrt-undiv +-commutative sum-log fma-def flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
29.0ms
(+ (* (/ z t) (- y x)) x)
50.0ms
(* (/ z t) (- y x))

series135.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ (* (/ z t) (- y x)) x)
80.0ms
(* (/ z t) (- y x))

simplify1.9s

Counts
104 → 104
Iterations
IterNodes
done5000
22441
1503
0178

prune629.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ z t) y x) (/ x (/ t z)))
2.0b
(fma (/ z t) y x)
4.9b
(/ x (/ t z))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
204×add-sqr-sqrt
197×*-un-lft-identity
195×add-cube-cbrt
132×prod-diff
17×div-inv
13×associate-/r*
add-cbrt-cube add-exp-log
add-log-exp
associate-/r/
expm1-log1p-u pow1 cbrt-undiv fma-neg div-exp log1p-expm1-u associate-/l* difference-of-squares
fma-udef
clear-num sub-neg frac-2neg flip3-- diff-log associate--l+ flip-- distribute-lft-out--
Counts
3 → 236
Calls
3 calls:
37.0ms
(- (fma (/ z t) y x) (/ x (/ t z)))
0.0ms
(fma (/ z t) y x)
8.0ms
(/ x (/ t z))

series152.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (fma (/ z t) y x) (/ x (/ t z)))
58.0ms
(fma (/ z t) y x)
45.0ms
(/ x (/ t z))

simplify688.0ms

Counts
245 → 245
Iterations
IterNodes
done5001
11359
0500

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (- y x) (/ z t) x))
2.0b
(fma (- y x) (/ z t) x)
2.0b
(fma (- y x) (/ z t) x)
2.0b
(fma (- y x) (/ z t) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
cbrt-prod fma-udef
pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (- y x) (/ z t) x))
1.0ms
(fma (- y x) (/ z t) x)
0.0ms
(fma (- y x) (/ z t) x)
1.0ms
(fma (- y x) (/ z t) x)

series558.0ms

Counts
4 → 12
Calls
4 calls:
384.0ms
(cbrt (fma (- y x) (/ z t) x))
61.0ms
(fma (- y x) (/ z t) x)
66.0ms
(fma (- y x) (/ z t) x)
47.0ms
(fma (- y x) (/ z t) x)

simplify713.0ms

Counts
55 → 55
Iterations
IterNodes
done5000
31111
2281
1118
060

prune424.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes471.0ms

Accuracy

-4.8% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch94.0ms

Steps
ItersRangePoint
4
1.3260198717762074e-167
2.0836951123819894e-167
2.0484611838322853e-167
8
-1.207962284467351e-36
-5.352215755330405e-41
-9.321316198184015e-37

simplify8.0ms

Iterations
IterNodes
done32
232
130
020

end0.0ms

sample1.0s

Algorithm
intervals
Results
529.0ms10608×body80valid