Details

Time bar (total: 9.6s)

sample36.0ms

Algorithm
intervals
Results
20.0ms331×body80valid

simplify240.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2447
3987
41587
52027
done2027

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×flip3-+ flip-+
5×add-sqr-sqrt
4×frac-times associate-*r* associate-*l*
3×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
2×associate-*r/ associate-*l/ distribute-lft-out
1×distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
65.0ms
(* (+ x y) (+ z 1.0))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (+ x y) (+ z 1.0))

simplify1.4s

Counts
35 → 35
Iterations

Useful iterations: 2 (256.0ms)

IterNodesCost
081431
1277405
21149377
done5000377

prune116.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity flip3-+ associate-*l/ flip-+
4×pow1 add-exp-log add-cube-cbrt associate-*r/ associate-*l* frac-add add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u associate-+r+ log1p-expm1-u
1×+-commutative distribute-rgt-in fma-def distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
26.0ms
(+ (* (+ x y) z) (* 1.0 (+ x y)))
22.0ms
(* (+ x y) z)

series100.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(+ (* (+ x y) z) (* 1.0 (+ x y)))
27.0ms
(* (+ x y) z)

simplify1.4s

Counts
49 → 49
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0101682
1313606
21311515
done5001491

prune165.0ms

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
(sqrt (+ z 1.0))
0.0b
(sqrt (+ z 1.0))
0.0b
(* (+ x y) (sqrt (+ z 1.0)))
0.1b
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-+ flip-+
32×frac-times
21×add-sqr-sqrt *-un-lft-identity
17×sqrt-prod
16×associate-*l/
14×associate-*r*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
5×associate-*l* distribute-lft-out
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative hypot-def unswap-sqr
Counts
4 → 122
Calls
4 calls:
12.0ms
(sqrt (+ z 1.0))
15.0ms
(sqrt (+ z 1.0))
53.0ms
(* (+ x y) (sqrt (+ z 1.0)))
127.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (+ z 1.0))
50.0ms
(sqrt (+ z 1.0))
86.0ms
(* (+ x y) (sqrt (+ z 1.0)))
57.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

simplify1.3s

Counts
134 → 134
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01872226
14991862
214781687
done50001679

prune465.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

1.9b
(* (+ x y) (- (* z z) (* 1.0 1.0)))
10.3b
(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×flip3-- flip--
6×add-cube-cbrt flip3-+ flip-+
5×times-frac associate-/r*
4×pow1 associate-*r/ associate-*r* associate-*l* associate-*l/
3×distribute-rgt-in distribute-lft-in difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-diff prod-exp associate-/r/ cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 73
Calls
2 calls:
67.0ms
(* (+ x y) (- (* z z) (* 1.0 1.0)))
44.0ms
(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

series249.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(* (+ x y) (- (* z z) (* 1.0 1.0)))
145.0ms
(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

simplify2.2s

Counts
79 → 79
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01561490
14781390
222391198
done50001101

prune284.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11211
done1211

end0.0ms

sample784.0ms

Algorithm
intervals
Results
420.0ms10078×body80valid
0.0ms1×body1280valid