Details

Time bar (total: 3.0s)

sample23.0ms

Algorithm
intervals
Results
11.0ms360×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.8b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
5.5b
(* t (* y (- x z)))

rewrite22.0ms

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:
7.0ms
(* y (- x z))
9.0ms
(* t (* y (- x z)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- x z))
47.0ms
(* t (* y (- x z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04021084
11572663
25001645

prune105.0ms

Filtered
118 candidates to 43 candidates (36.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1135118
Fresh101
Picked011
Done000
Total1146120

Merged error: 0.0b

Counts
120 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

5.5b
(* (* t y) (- x z))

rewrite14.0ms

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
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×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:
12.0ms
(* (* t y) (- x z))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (* t y) (- x z))

simplify40.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0303430
11277281
25002269

prune52.0ms

Filtered
49 candidates to 19 candidates (38.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New49049
Fresh044
Picked011
Done011
Total49655

Merged error: 0.0b

Counts
55 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.6b
(* (cbrt t) (* y (- x z)))
3.2b
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* y (- x z))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
176×distribute-rgt-in distribute-lft-in
108×prod-diff
80×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
12×sub-neg
10×associate-*r/
9×cbrt-prod
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 215
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
9.0ms
(* (cbrt t) (* y (- x z)))
17.0ms
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* y (- x z))))

series627.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt t)
182.0ms
(cbrt t)
183.0ms
(* (cbrt t) (* y (- x z)))
75.0ms
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* y (- x z))))

simplify98.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
010413410
131631965
250011738

prune196.0ms

Filtered
227 candidates to 73 candidates (32.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2261227
Fresh033
Picked011
Done022
Total2267233

Merged error: 0.0b

Counts
233 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

5.5b
(* t (* y (- x z)))
5.8b
(cbrt (* t (* y (- x z))))
5.8b
(cbrt (* t (* y (- x z))))
5.8b
(cbrt (* t (* y (- x z))))

rewrite31.0ms

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:
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:
48.0ms
(* t (* y (- x z)))
122.0ms
(cbrt (* t (* y (- x z))))
119.0ms
(cbrt (* t (* y (- x z))))
123.0ms
(cbrt (* t (* y (- x z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04701075
11359773
25001764

prune211.0ms

Filtered
117 candidates to 68 candidates (58.1%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1170117
Fresh033
Picked011
Done033
Total1177124

Merged error: 0.0b

Counts
124 → 7

regimes152.0ms

Accuracy

33.2% (4.1b remaining)

Error of 4.1b against oracle of 0.1b and baseline of 6.2b

bsearch48.0ms

Steps
ItersRangePoint
7
3.8617711126456436e-252
1.2331844131244815e-250
1.2195548373364828e-250
5
-1.5348137704897776e-07
-5.6941803921493696e-08
-1.0685273149765291e-07

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0226
1226

end0.0ms

sample598.0ms

Algorithm
intervals
Results
333.0ms10653×body80valid

Profiling

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