Details

Time bar (total: 2.9s)

sample23.0ms

Algorithm
intervals
Results
8.0ms351×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:
12.0ms
(* y (- x z))
19.0ms
(* t (* y (- x z)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* y (- x z))
46.0ms
(* t (* y (- x z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04021084
11572663
25001645

prune131.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
pow1 add-exp-log add-cbrt-cube
associate-*r*
pow-prod-down prod-exp cbrt-unprod
sub-neg associate-*r/
expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
14.0ms
(* (* t y) (- x z))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (* t y) (- x z))

simplify45.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0303430
11277281
25002269

prune64.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

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))))

rewrite56.0ms

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:
19.0ms
(* t (* y (- x z)))
10.0ms
(cbrt (* t (* y (- x z))))
10.0ms
(cbrt (* t (* y (- x z))))
10.0ms
(cbrt (* t (* y (- x z))))

series406.0ms

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

simplify53.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04701075
11359773
25001764

prune253.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize18.0ms

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))))
8.3b
(cbrt (* y (- x z)))

rewrite46.0ms

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
14×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:
18.0ms
(* t (* y (- x z)))
10.0ms
(cbrt (* t (* y (- x z))))
10.0ms
(cbrt (* t (* y (- x z))))
4.0ms
(cbrt (* y (- x z)))

series451.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* t (* y (- x z)))
122.0ms
(cbrt (* t (* y (- x z))))
122.0ms
(cbrt (* t (* y (- x z))))
165.0ms
(cbrt (* y (- x z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05201054
11469754
25002742

prune282.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes188.0ms

Accuracy

47.6% (3.4b remaining)

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

bsearch59.0ms

Steps
ItersRangePoint
8
5.355465120924082e-156
9.03152404884134e-152
4.223491639364106e-153
7
-3.365463701024246e+35
-1.882725008836668e+33
-2.864653131340836e+34

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0226
1226

end0.0ms

sample522.0ms

Algorithm
intervals
Results
271.0ms10736×body80valid