Details

Time bar (total: 2.3s)

sample20.0ms

Algorithm
intervals
Results
9.0ms351×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
5.9b
(* t (* y (- x z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
pow1 add-exp-log add-cbrt-cube
sub-neg associate-*r/ associate-*r* associate-*l*
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
7.0ms
(* y (- x z))
9.0ms
(* t (* y (- x z)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* y (- x z))
43.0ms
(* t (* y (- x z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04021084
11572663
25001645

prune128.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

4.9b
(* (- x z) (* t y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*l*
add-sqr-sqrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt associate-*l/
expm1-log1p-u flip3-- associate-*r* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 24
Calls
1 calls:
7.0ms
(* (- x z) (* t y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (- x z) (* t y))

simplify67.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0152123
1525100
22534100
35001100

prune57.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

5.9b
(* t (* y (- x z)))
7.0b
(cbrt (* t (* y (- x z))))
7.0b
(cbrt (* t (* y (- x z))))
7.0b
(cbrt (* t (* y (- x z))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
44×distribute-rgt-in distribute-lft-in
36×prod-diff
29×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-*r/
pow1 add-exp-log add-cbrt-cube
cbrt-div
expm1-log1p-u sub-neg flip3-- flip-- log1p-expm1-u add-log-exp
cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
associate-*r* *-commutative
Counts
4 → 105
Calls
4 calls:
9.0ms
(* t (* y (- x z)))
6.0ms
(cbrt (* t (* y (- x z))))
6.0ms
(cbrt (* t (* y (- x z))))
6.0ms
(cbrt (* t (* y (- x z))))

series412.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* t (* y (- x z)))
121.0ms
(cbrt (* t (* y (- x z))))
120.0ms
(cbrt (* t (* y (- x z))))
126.0ms
(cbrt (* t (* y (- x z))))

simplify52.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04701075
11359773
25001764

prune248.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
7.2b
(* (* (- x z) t) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
*-un-lft-identity
associate-*r* associate-*l* associate-*l/
add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
6.0ms
(* (- x z) t)
7.0ms
(* (* (- x z) t) y)

series76.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- x z) t)
48.0ms
(* (* (- x z) t) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0194207
1867174
25002174

prune99.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes158.0ms

Accuracy

46.9% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 6.5b

bsearch70.0ms

Steps
ItersRangePoint
8
5.355465120924082e-156
9.03152404884134e-152
8.822188301346798e-152
9
-3.982369618859364e-73
-9.786187537869626e-80
-1.434059461590054e-73

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03011
13411
23411

end0.0ms

sample587.0ms

Algorithm
intervals
Results
302.0ms10736×body80valid