Details

Time bar (total: 3.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms364×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
5.3b
(* t (* y (- x z)))

rewrite39.0ms

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
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
16.0ms
(* y (- x z))
18.0ms
(* t (* y (- x z)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* y (- x z))
42.0ms
(* t (* y (- x z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04021084
11572663
25001645

prune117.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

5.3b
(* t (* y (- x z)))
8.3b
(cbrt (* t (* y (- x z))))
8.3b
(cbrt (* t (* y (- x z))))
8.3b
(cbrt (* t (* y (- x z))))

rewrite53.0ms

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/
9×pow1 add-exp-log add-cbrt-cube
6×cbrt-div
4×expm1-log1p-u sub-neg flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 105
Calls
4 calls:
18.0ms
(* t (* y (- x z)))
9.0ms
(cbrt (* t (* y (- x z))))
12.0ms
(cbrt (* t (* y (- x z))))
10.0ms
(cbrt (* t (* y (- x z))))

series383.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* t (* y (- x z)))
113.0ms
(cbrt (* t (* y (- x z))))
116.0ms
(cbrt (* t (* y (- x z))))
114.0ms
(cbrt (* t (* y (- x z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04701075
11359773
25001764

prune244.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

5.3b
(* t (* y (- x z)))
7.8b
(cbrt (* y (- x z)))
8.3b
(cbrt (* t (* y (- x z))))
8.3b
(cbrt (* t (* 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/
9×pow1 add-exp-log add-cbrt-cube
6×cbrt-div
4×expm1-log1p-u sub-neg flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 105
Calls
4 calls:
18.0ms
(* t (* y (- x z)))
3.0ms
(cbrt (* y (- x z)))
10.0ms
(cbrt (* t (* y (- x z))))
10.0ms
(cbrt (* t (* y (- x z))))

series435.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* t (* y (- x z)))
158.0ms
(cbrt (* y (- x z)))
115.0ms
(cbrt (* t (* y (- x z))))
120.0ms
(cbrt (* t (* y (- x z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05201054
11468754
25001742

prune272.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

5.3b
(* t (* y (- x z)))
5.3b
(* t (* y (- x z)))
8.3b
(cbrt (* t (* y (- x z))))
8.3b
(cbrt (* t (* y (- x z))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
88×distribute-rgt-in distribute-lft-in
72×prod-diff
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-*r/
14×pow1 add-exp-log add-cbrt-cube
8×sub-neg
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u cbrt-div flip3-- flip-- log1p-expm1-u add-log-exp
2×cbrt-prod pow1/3 associate-*r* *-commutative
Counts
4 → 158
Calls
4 calls:
18.0ms
(* t (* y (- x z)))
18.0ms
(* t (* y (- x z)))
9.0ms
(cbrt (* t (* y (- x z))))
10.0ms
(cbrt (* t (* y (- x z))))

series327.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* t (* y (- x z)))
43.0ms
(* t (* y (- x z)))
119.0ms
(cbrt (* t (* y (- x z))))
123.0ms
(cbrt (* t (* y (- x z))))

simplify52.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04701690
113591122
250011116

prune336.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes175.0ms

Accuracy

53.1% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 6.8b

bsearch87.0ms

Steps
ItersRangePoint
9
2.3593619295563993e+103
2.457795050145548e+108
2.3886356750402986e+103
9
-2.057662671160373e+104
-3.0014895666214785e+96
-1.2510353792524261e+97

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03311
13311

end0.0ms

sample525.0ms

Algorithm
intervals
Results
265.0ms10839×body80valid