Details

Time bar (total: 13.4s)

sample44.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22412
32812
done2812

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b
(* 1.1283791670955126 (exp z))
1.2b
(- (* 1.1283791670955126 (exp z)) (* x y))
7.6b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite162.0ms

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:
59.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
20.0ms
(* 1.1283791670955126 (exp z))
26.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
53.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series290.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
18.0ms
(* 1.1283791670955126 (exp z))
84.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
124.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify3.2s

Counts
96 → 96
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01531249
13571179
29251105
322521104
done50001085

prune327.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
18×times-frac
add-exp-log
add-cbrt-cube
associate-/r* associate-/l* add-log-exp
pow1
expm1-log1p-u log1p-expm1-u
fma-def div-exp div-inv
cbrt-undiv frac-2neg clear-num distribute-lft-out
+-commutative rec-exp pow-flip flip3-+ 1-exp sum-log flip-+ fma-udef inv-pow
Counts
4 → 90
Calls
4 calls:
11.0ms
(+ x (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
10.0ms
(/ (exp z) y)
11.0ms
(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))
1.0ms
(fma (/ (exp z) y) 1.1283791670955126 (- x))

series283.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(+ x (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
22.0ms
(/ (exp z) y)
105.0ms
(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))
81.0ms
(fma (/ (exp z) y) 1.1283791670955126 (- x))

simplify3.0s

Counts
102 → 102
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01621279
13341182
27291102
315611096
439811093
done50001092

prune276.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
0.3b
(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
1.2b
(- (* 1.1283791670955126 (exp z)) (* x y))
7.4b
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
18×add-exp-log associate-*r*
13×add-cbrt-cube
pow1
associate-*l* add-log-exp
prod-exp
expm1-log1p-u div-exp associate-/r/ log1p-expm1-u unswap-sqr
flip3-- associate-/r* flip-- cbrt-unprod associate-/l*
cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative div-inv
sub-neg pow-flip frac-2neg fma-neg diff-log associate-*r/ prod-diff clear-num un-div-inv inv-pow
Counts
4 → 111
Calls
4 calls:
26.0ms
(* 1.1283791670955126 (exp z))
32.0ms
(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
14.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
93.0ms
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* 1.1283791670955126 (exp z))
82.0ms
(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
86.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
122.0ms
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify3.6s

Counts
123 → 123
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01801673
14221497
29891353
325771350
done50001337

prune366.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes186.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11412
done1412

end0.0ms

sample1.0s

Algorithm
intervals
Results
620.0ms8000×body80valid