Details

Time bar (total: 3.0s)

sample29.0ms

Algorithm
intervals
Results
16.0ms469×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0237
1596
21116
32046
43696
58396
621686
750016

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
4.5b
(- (+ (* x x) (* y y)) (* z z))
27.4b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-log-exp
add-exp-log add-cbrt-cube
add-cube-cbrt *-un-lft-identity
times-frac associate-/l*
pow1 expm1-log1p-u fma-neg prod-diff log1p-expm1-u difference-of-squares
cbrt-undiv flip3-- diff-log div-exp sum-log flip-- associate-/l/
+-commutative sub-neg fma-def frac-2neg flip3-+ div-sub prod-exp associate--l+ clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
3 → 65
Calls
3 calls:
3.0ms
(+ (* x x) (* y y))
20.0ms
(- (+ (* x x) (* y y)) (* z z))
35.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series192.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (* x x) (* y y))
59.0ms
(- (+ (* x x) (* y y)) (* z z))
99.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0365571
11599486
25002469

prune235.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 10.8b

localize12.0ms

Local error

Found 2 expressions with local error:

9.5b
(/ (pow x 2) y)
9.5b
(/ (pow z 2) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
36×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
16×associate-/l*
12×add-exp-log
unpow2 sqr-pow
div-exp associate-/r* add-cbrt-cube
pow1 cbrt-undiv expm1-log1p-u pow-to-exp frac-2neg pow-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
2 → 102
Calls
2 calls:
4.0ms
(/ (pow x 2) y)
5.0ms
(/ (pow z 2) y)

series52.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (pow x 2) y)
24.0ms
(/ (pow z 2) y)

simplify47.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0276494
1970434
25002427

prune316.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ z (/ y z))
9.5b
(/ (pow x 2) y)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
61×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
12×add-exp-log unpow-prod-down
11×associate-/l*
add-cbrt-cube
div-exp div-inv
cbrt-undiv unpow2 sqr-pow
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
pow-to-exp pow-exp associate-/r/
Counts
2 → 123
Calls
2 calls:
5.0ms
(/ z (/ y z))
5.0ms
(/ (pow x 2) y)

series46.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ z (/ y z))
23.0ms
(/ (pow x 2) y)

simplify85.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0454705
12183632
25002625

prune369.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (fabs x) (/ (fabs x) y))
0.2b
(/ z (/ y z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
85×times-frac
57×add-sqr-sqrt
52×add-cube-cbrt *-un-lft-identity
13×associate-*r* associate-/r*
12×add-exp-log add-cbrt-cube
div-inv
pow1 cbrt-undiv div-exp
associate-*l* associate-/l*
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num associate-/r/ *-commutative
Counts
2 → 106
Calls
2 calls:
8.0ms
(* (fabs x) (/ (fabs x) y))
6.0ms
(/ z (/ y z))

series47.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* (fabs x) (/ (fabs x) y))
23.0ms
(/ z (/ y z))

simplify80.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0464676
12391603
25001595

prune341.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes90.0ms

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
0137
1137

end0.0ms

sample765.0ms

Algorithm
intervals
Results
481.0ms13771×body80valid