Details

Time bar (total: 12.3s)

sample34.0ms

Algorithm
intervals
Results
13.0ms330×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
94087
81602
71239
6903
5414
4161
362
226
111
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (- 1.0 z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
4×frac-times associate-*l*
3×pow1 flip3-+ flip3-- add-cbrt-cube add-exp-log flip-+ flip--
2×sub-neg associate-*l/ associate-*r/
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 53
Calls
1 calls:
46.0ms
(* (+ x y) (- 1.0 z))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(* (+ x y) (- 1.0 z))

simplify2.2s

Counts
56 → 56
Iterations
IterNodes
done5001
22383
1427
0134

prune186.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z z) (* 1.0 z))
0.1b
(* z (* z z))
0.5b
(* (+ x y) (- (* 1.0 (* 1.0 1.0)) (* z (* z z))))
13.9b
(/ (* (+ x y) (- (* 1.0 (* 1.0 1.0)) (* z (* z z)))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
16×add-cbrt-cube add-exp-log
12×add-sqr-sqrt
11×*-un-lft-identity
9×add-cube-cbrt
8×frac-times flip3-+ flip-+ associate-/l/
7×associate-*l*
6×flip3-- flip-- add-log-exp
5×associate-*r* prod-exp pow-prod-up cbrt-unprod
4×expm1-log1p-u pow-prod-down associate-*l/ associate-*r/ log1p-expm1-u
3×distribute-rgt-in associate-/r* distribute-lft-in times-frac cube-unmult
2×cbrt-undiv sub-neg div-exp prod-diff associate-/r/ *-commutative unswap-sqr
1×pow2 difference-cubes +-commutative clear-num sum-log fma-def frac-2neg pow-plus distribute-rgt-out pow-sqr div-inv distribute-lft-out associate-/l*
Counts
4 → 110
Calls
4 calls:
11.0ms
(+ (* z z) (* 1.0 z))
18.0ms
(* z (* z z))
157.0ms
(* (+ x y) (- (* 1.0 (* 1.0 1.0)) (* z (* z z))))
137.0ms
(/ (* (+ x y) (- (* 1.0 (* 1.0 1.0)) (* z (* z z)))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

series470.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(+ (* z z) (* 1.0 z))
60.0ms
(* z (* z z))
145.0ms
(* (+ x y) (- (* 1.0 (* 1.0 1.0)) (* z (* z z))))
193.0ms
(/ (* (+ x y) (- (* 1.0 (* 1.0 1.0)) (* z (* z z)))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

simplify949.0ms

Counts
122 → 122
Iterations
IterNodes
done5000
1712
0207

prune742.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (+ x y) (/ (fma z (+ 1.0 z) (* 1.0 1.0)) (- (* 1.0 (* 1.0 1.0)) (* z (* z z)))))
0.1b
(* z (* z z))
11.3b
(/ (fma z (+ 1.0 z) (* 1.0 1.0)) (- (* 1.0 (* 1.0 1.0)) (* z (* z z))))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
110×*-un-lft-identity
73×add-sqr-sqrt
72×add-cube-cbrt
39×cube-unmult
22×associate-/r*
19×difference-cubes distribute-lft-out
17×pow1
15×add-cbrt-cube add-exp-log
13×associate-/r/
7×div-inv associate-/l*
6×flip3-- flip--
5×pow-prod-up
4×cbrt-undiv div-exp
3×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/l/
1×pow2 flip3-+ pow-plus associate-*r* pow-sqr *-commutative flip-+ unswap-sqr
Counts
3 → 174
Calls
3 calls:
73.0ms
(/ (+ x y) (/ (fma z (+ 1.0 z) (* 1.0 1.0)) (- (* 1.0 (* 1.0 1.0)) (* z (* z z)))))
13.0ms
(* z (* z z))
63.0ms
(/ (fma z (+ 1.0 z) (* 1.0 1.0)) (- (* 1.0 (* 1.0 1.0)) (* z (* z z))))

series298.0ms

Counts
3 → 9
Calls
3 calls:
192.0ms
(/ (+ x y) (/ (fma z (+ 1.0 z) (* 1.0 1.0)) (- (* 1.0 (* 1.0 1.0)) (* z (* z z)))))
44.0ms
(* z (* z z))
62.0ms
(/ (fma z (+ 1.0 z) (* 1.0 1.0)) (- (* 1.0 (* 1.0 1.0)) (* z (* z z))))

simplify1.3s

Counts
183 → 183
Iterations
IterNodes
done5000
1799
0288

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes344.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample724.0ms

Algorithm
intervals
Results
350.0ms10151×body80valid