Details

Time bar (total: 5.0s)

sample33.0ms

Algorithm
intervals
Results
16.0ms420×body80valid

simplify77.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0237
1596
21116
32046
43696
58396
621686
750016
done50016

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize11.0ms

Local error

Found 2 expressions with local error:

4.4b
(- (+ (* x x) (* y y)) (* z z))
26.5b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-exp-log add-cbrt-cube add-log-exp
6×add-cube-cbrt *-un-lft-identity
4×times-frac associate-/l*
3×fma-neg prod-diff difference-of-squares
2×pow1 cbrt-undiv expm1-log1p-u flip3-- diff-log div-exp flip-- log1p-expm1-u associate-/l/
1×sub-neg frac-2neg div-sub prod-exp associate--l+ clear-num associate-/r* sum-log cbrt-unprod div-inv
Counts
2 → 51
Calls
2 calls:
49.0ms
(- (+ (* x x) (* y y)) (* z z))
82.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series146.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(- (+ (* x x) (* y y)) (* z z))
97.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify45.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0299503
11242422
25001407
done5001407

prune176.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 10.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.1b
(/ (pow x 2) y)
9.9b
(/ (pow z 2) y)

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
189×*-un-lft-identity
148×times-frac
138×add-sqr-sqrt
126×add-cube-cbrt
112×prod-diff
61×unpow-prod-down
30×distribute-lft-out
21×unpow2 sqr-pow
16×associate-/l*
13×add-exp-log
8×add-log-exp
7×add-cbrt-cube
6×div-exp associate-/r* div-inv
5×difference-of-squares
4×fma-neg
3×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv pow-to-exp frac-2neg diff-log pow-exp clear-num frac-sub distribute-lft-out--
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+
Counts
3 → 243
Calls
3 calls:
201.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
13.0ms
(/ (pow x 2) y)
9.0ms
(/ (pow z 2) y)

series99.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
27.0ms
(/ (pow x 2) y)
23.0ms
(/ (pow z 2) y)

simplify120.0ms

Counts
252 → 252
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09574380
132313066
250022874
done50022874

prune461.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
0.1b
(/ (pow x (/ 2 2)) (/ y x))
9.9b
(/ (pow z 2) y)

rewrite494.0ms

Algorithm
rewrite-expression-head
Rules
287×times-frac
256×*-un-lft-identity
205×add-sqr-sqrt
193×add-cube-cbrt
112×prod-diff
91×unpow-prod-down
31×sqr-pow
30×distribute-lft-out
21×add-exp-log
17×unpow2
16×associate-/r*
15×associate-/l*
14×div-inv
12×div-exp
10×add-cbrt-cube
8×add-log-exp
5×difference-of-squares
4×cbrt-undiv fma-neg
3×pow1 expm1-log1p-u pow-to-exp pow-exp log1p-expm1-u
2×frac-2neg diff-log clear-num frac-sub distribute-lft-out--
1×sub-neg flip3-- flip3-+ associate--l+ sum-log associate-/r/ flip-- flip-+
Counts
3 → 324
Calls
3 calls:
452.0ms
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
14.0ms
(/ (pow x (/ 2 2)) (/ y x))
9.0ms
(/ (pow z 2) y)

series103.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
30.0ms
(/ (pow x (/ 2 2)) (/ y x))
23.0ms
(/ (pow z 2) y)

simplify88.0ms

Counts
333 → 333
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
013555327
150013927
done50013927

prune629.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* z (/ z y)))
0.1b
(/ (pow x (/ 2 2)) (/ y x))
0.2b
(* z (/ z y))

rewrite487.0ms

Algorithm
rewrite-expression-head
Rules
173×times-frac
102×add-sqr-sqrt
101×*-un-lft-identity
97×add-cube-cbrt
42×unpow-prod-down
21×add-exp-log
14×sqr-pow
13×associate-*r* associate-/r* add-cbrt-cube
10×div-exp div-inv
8×add-log-exp
7×associate-/l*
5×pow1
4×cbrt-undiv fma-neg prod-diff
3×expm1-log1p-u associate-*r/ associate-*l* log1p-expm1-u
2×pow-to-exp diff-log pow-exp prod-exp frac-sub cbrt-unprod distribute-lft-out unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ pow-prod-down associate--l+ clear-num sum-log associate-/r/ *-commutative flip-- flip-+
Counts
3 → 192
Calls
3 calls:
451.0ms
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* z (/ z y)))
14.0ms
(/ (pow x (/ 2 2)) (/ y x))
14.0ms
(* z (/ z y))

series103.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* z (/ z y)))
23.0ms
(/ (pow x (/ 2 2)) (/ y x))
23.0ms
(* z (/ z y))

simplify137.0ms

Counts
201 → 201
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
08361413
141181210
250011196
done50011196

prune426.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1208
2208
done208

end0.0ms

sample845.0ms

Algorithm
intervals
Results
449.0ms13702×body80valid