Details

Time bar (total: 3.3s)

sample30.0ms

Algorithm
intervals
Results
14.0ms458×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0237
1596
21116
32046
43696
58396
621686
750016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize10.0ms

Local error

Found 2 expressions with local error:

4.1b
(- (+ (* x x) (* y y)) (* z z))
26.7b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite128.0ms

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:
47.0ms
(- (+ (* x x) (* y y)) (* z z))
79.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series118.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (+ (* x x) (* y y)) (* z z))
78.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0299503
11242422
25001407

prune153.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 10.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.3b
(/ (pow x 2) y)
10.6b
(/ (pow z 2) y)

rewrite233.0ms

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:
199.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
8.0ms
(/ (pow x 2) y)
11.0ms
(/ (pow z 2) y)

series75.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
17.0ms
(/ (pow x 2) y)
21.0ms
(/ (pow z 2) y)

simplify111.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
09574380
132313066
250022874

prune408.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
0.1b
(* z (/ z y))
9.3b
(/ (pow x 2) y)

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
34×*-un-lft-identity times-frac
30×add-cube-cbrt
13×add-exp-log associate-*r*
12×unpow-prod-down
10×add-cbrt-cube
8×associate-/l* add-log-exp
5×pow1
4×fma-neg div-exp prod-diff unpow2 sqr-pow
3×expm1-log1p-u associate-*r/ associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv diff-log prod-exp frac-sub cbrt-unprod div-inv distribute-lft-out unswap-sqr
1×pow-to-exp sub-neg flip3-- frac-2neg flip3-+ pow-prod-down pow-exp associate--l+ clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 111
Calls
3 calls:
197.0ms
(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
14.0ms
(* z (/ z y))
9.0ms
(/ (pow x 2) y)

series77.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
21.0ms
(* z (/ z y))
18.0ms
(/ (pow x 2) y)

simplify60.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0451667
11889597
25002591

prune279.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
26×associate-*r*
21×add-cube-cbrt *-un-lft-identity
20×times-frac
13×add-exp-log add-cbrt-cube
8×add-log-exp
7×pow1
6×associate-*l*
4×associate-*r/ prod-exp cbrt-unprod unswap-sqr
3×expm1-log1p-u fma-neg prod-diff log1p-expm1-u
2×cbrt-undiv diff-log div-exp pow-prod-down *-commutative frac-sub div-inv
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+
Counts
3 → 92
Calls
3 calls:
32.0ms
(- (+ y (* x (/ x y))) (* z (/ z y)))
13.0ms
(* z (/ z y))
17.0ms
(* x (/ x y))

series75.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (+ y (* x (/ x y))) (* z (/ z y)))
18.0ms
(* z (/ z y))
21.0ms
(* x (/ x y))

simplify64.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0462544
12217475
25001468

prune220.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes79.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample790.0ms

Algorithm
intervals
Results
428.0ms13707×body80valid