Details

Time bar (total: 15.7s)

sample47.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
22412
32812
done2812

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
0.0b
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.2b
(- (* 1.1283791670955126 (exp z)) (* x y))
7.1b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
15×add-cube-cbrt
times-frac
add-cbrt-cube add-log-exp
add-exp-log
pow1
expm1-log1p-u log1p-expm1-u
fma-def associate-*r* associate-*l* associate-/r* associate-/l*
flip3-- associate-/r/ flip--
cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ fma-neg diff-log div-exp prod-diff pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ div-inv distribute-lft-out unswap-sqr
Counts
4 → 84
Calls
4 calls:
25.0ms
(* 1.1283791670955126 (exp z))
56.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
28.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
29.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series297.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 1.1283791670955126 (exp z))
46.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
86.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
133.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify3.4s

Counts
96 → 96
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01531249
13571179
29271105
322491104
done50011085

prune360.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x))))
0.1b
(/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
times-frac
add-exp-log
add-cbrt-cube add-log-exp
pow1 fma-def associate-/r* associate-/l*
expm1-log1p-u div-exp log1p-expm1-u div-inv distribute-lft-out
cbrt-undiv +-commutative rec-exp pow-flip frac-2neg flip3-+ 1-exp clear-num sum-log flip-+ inv-pow
Counts
2 → 51
Calls
2 calls:
12.0ms
(+ x (/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x))))
6.0ms
(/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x)))

series214.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(+ x (/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x))))
142.0ms
(/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x)))

simplify3.2s

Counts
57 → 57
Iterations

Useful iterations: done (3.2s)

IterNodesCost
099872
1210787
2466740
31075735
42948733
done5000732

prune161.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (expm1 (log1p (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))))
0.2b
(- (* 1.1283791670955126 (exp z)) (* x y))
0.6b
(expm1 (log1p (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
7.1b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
times-frac
add-log-exp
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u log1p-expm1-u
fma-def associate-/r* associate-/l*
flip3-- associate-/r/ flip-- expm1-udef
cbrt-undiv +-commutative associate-+r- sub-neg expm1-log1p frac-2neg flip3-+ fma-neg diff-log div-exp prod-diff clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
4 → 76
Calls
4 calls:
12.0ms
(+ x (expm1 (log1p (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))))
25.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
1.0ms
(expm1 (log1p (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
22.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series512.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ x (expm1 (log1p (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))))
63.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
223.0ms
(expm1 (log1p (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
147.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.3s

Counts
88 → 88
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01471350
13381204
29191139
323491138
done50011120

prune275.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z y))
0.1b
(fma 0.886226925452758 (- y (* z y)) x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt add-log-exp
fma-neg prod-diff
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
sub-neg flip3-- distribute-rgt-out-- diff-log flip-- fma-udef
Counts
2 → 31
Calls
2 calls:
6.0ms
(- y (* z y))
0.0ms
(fma 0.886226925452758 (- y (* z y)) x)

series83.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- y (* z y))
48.0ms
(fma 0.886226925452758 (- y (* z y)) x)

simplify3.3s

Counts
37 → 37
Iterations

Useful iterations: 4 (1.8s)

IterNodesCost
057356
1123350
2321302
31117297
44198278
done5000278

prune76.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes241.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11412
done1412

end0.0ms

sample985.0ms

Algorithm
intervals
Results
577.0ms8000×body80valid