Details

Time bar (total: 3.6s)

sample36.0ms

Algorithm
intervals
Results
20.0ms462×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0237
1596
21116
32046
43696
58396
621686
750016

prune6.0ms

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: 28.1b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

3.9b
(- (+ (* x x) (* y y)) (* z z))
26.1b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite18.0ms

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:
7.0ms
(- (+ (* x x) (* y y)) (* z z))
10.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series141.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(- (+ (* x x) (* y y)) (* z z))
92.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0299503
11242422
25001407

prune146.0ms

Filtered
57 candidates to 44 candidates (77.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New54357
Fresh000
Picked101
Done000
Total55358

Merged error: 11.2b

Counts
58 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
8.3b
(/ (pow z 2) y)
9.0b
(/ (pow x 2) y)

rewrite54.0ms

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:
25.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
6.0ms
(/ (pow z 2) y)
5.0ms
(/ (pow x 2) y)

series92.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
20.0ms
(/ (pow z 2) y)
21.0ms
(/ (pow x 2) y)

simplify127.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
09574380
132313066
250022871

prune396.0ms

Filtered
252 candidates to 103 candidates (40.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2475252
Fresh022
Picked101
Done000
Total2487255

Merged error: 1.0b

Counts
255 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
0.2b
(/ x (/ y x))
8.3b
(/ (pow z 2) y)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
214×*-un-lft-identity
199×times-frac
163×add-sqr-sqrt
151×add-cube-cbrt
112×prod-diff
49×unpow-prod-down
30×distribute-lft-out
17×unpow2 sqr-pow
16×associate-/r*
13×add-exp-log
11×associate-/l*
10×add-cbrt-cube div-inv
8×add-log-exp
6×div-exp
5×difference-of-squares
4×cbrt-undiv fma-neg
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg diff-log clear-num frac-sub distribute-lft-out--
1×pow-to-exp sub-neg flip3-- flip3-+ pow-exp associate--l+ sum-log associate-/r/ flip-- flip-+
Counts
3 → 264
Calls
3 calls:
28.0ms
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
6.0ms
(/ x (/ y x))
5.0ms
(/ (pow z 2) y)

series89.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
21.0ms
(/ x (/ y x))
21.0ms
(/ (pow z 2) y)

simplify168.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 2 (122.0ms)

IterNodesCost
011424704
148303151
250013150

prune477.0ms

Filtered
273 candidates to 130 candidates (47.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2703273
Fresh246
Picked101
Done000
Total2737280

Merged error: 0b

Counts
280 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
85×times-frac
60×add-sqr-sqrt
59×*-un-lft-identity
55×add-cube-cbrt
13×add-exp-log associate-*r* associate-/r* add-cbrt-cube
8×add-log-exp
6×div-inv
5×pow1
4×cbrt-undiv fma-neg div-exp prod-diff
3×expm1-log1p-u associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×diff-log 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 → 132
Calls
3 calls:
16.0ms
(- (+ y (/ x (/ y x))) (* z (/ z y)))
7.0ms
(* z (/ z y))
12.0ms
(/ x (/ y x))

series89.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- (+ y (/ x (/ y x))) (* z (/ z y)))
20.0ms
(* z (/ z y))
22.0ms
(/ x (/ y x))

simplify96.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
0621878
13047791
25001775

prune292.0ms

Filtered
141 candidates to 99 candidates (70.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1410141
Fresh066
Picked011
Done000
Total1417148

Merged error: 0b

Counts
148 → 7

regimes138.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample946.0ms

Algorithm
intervals
Results
627.0ms13721×body80valid