Details

Time bar (total: 2.9s)

sample30.0ms

Algorithm
intervals
Results
15.0ms443×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0237
1596
21116
32046
43696
58396
621686
750016

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 24.2b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

3.7b
(- (+ (* x x) (* y y)) (* z z))
22.5b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite19.0ms

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:
6.0ms
(- (+ (* x x) (* y y)) (* z z))
11.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series142.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (+ (* x x) (* y y)) (* z z))
91.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0299503
11242422
25001407

prune156.0ms

Filtered
57 candidates to 44 candidates (77.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New51657
Fresh000
Picked101
Done000
Total52658

Merged error: 8.7b

Counts
58 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.7b
(/ (pow x 2) y)
10.0b
(/ (pow z 2) y)

rewrite52.0ms

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:
28.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
5.0ms
(/ (pow x 2) y)
5.0ms
(/ (pow z 2) y)

series92.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
20.0ms
(/ (pow x 2) y)
21.0ms
(/ (pow z 2) y)

simplify118.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09574380
132313066
250022874

prune400.0ms

Filtered
252 candidates to 103 candidates (40.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2475252
Fresh415
Picked101
Done000
Total2526258

Merged error: 1.0b

Counts
258 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
0.2b
(* z (/ z y))
9.7b
(/ (pow x 2) y)

rewrite28.0ms

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:
13.0ms
(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
7.0ms
(* z (/ z y))
5.0ms
(/ (pow x 2) y)

series92.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
25.0ms
(* z (/ z y))
22.0ms
(/ (pow x 2) y)

simplify71.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0451667
11889597
25002591

prune265.0ms

Filtered
120 candidates to 80 candidates (66.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1191120
Fresh145
Picked101
Done000
Total1215126

Merged error: 0b

Counts
126 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:
6.0ms
(- (+ y (* x (/ x y))) (* z (/ z y)))
7.0ms
(* z (/ z y))
7.0ms
(* x (/ x y))

series90.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- (+ y (* x (/ x y))) (* z (/ z y)))
25.0ms
(* z (/ z y))
21.0ms
(* x (/ x y))

simplify74.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0462544
12217475
25001468

prune204.0ms

Filtered
101 candidates to 71 candidates (70.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1010101
Fresh044
Picked011
Done000
Total1015106

Merged error: 0b

Counts
106 → 5

regimes82.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

end0.0ms

sample761.0ms

Algorithm
intervals
Results
478.0ms13756×body80valid