Details

Time bar (total: 2.1s)

sample36.0ms

Algorithm
intervals
Results
11.0ms256×pre80true
10.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0183
1393
2653
3703
4703

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* a (+ (+ b c) d))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-sqr-sqrt associate-*r*
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
associate-*r/
distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
8.0ms
(* a (+ (+ b c) d))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* a (+ (+ b c) d))

simplify98.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0146114
1738100
24526100
35001100

prune37.0ms

Filtered
27 candidates to 17 candidates (37.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh000
Picked011
Done000
Total24428

Merged error: 0b

Counts
28 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* a (+ b c))
0.0b
(+ (* a (+ b c)) (* a d))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
associate-*l*
distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ distribute-lft-out
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
6.0ms
(* a (+ b c))
6.0ms
(+ (* a (+ b c)) (* a d))

series15.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* a (+ b c))
9.0ms
(+ (* a (+ b c)) (* a d))

simplify38.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0213177
1995159
25002156

prune46.0ms

Filtered
43 candidates to 29 candidates (32.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New41243
Fresh202
Picked011
Done011
Total43447

Merged error: 0b

Counts
47 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ b c))
0.0b
(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
0.2b
(* a (sqrt (+ b c)))
0.3b
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*r*
13×sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*r/
flip3-+ flip-+
add-log-exp
frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
distribute-lft-out
associate-*l/ *-commutative unswap-sqr
+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 82
Calls
4 calls:
3.0ms
(sqrt (+ b c))
12.0ms
(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
7.0ms
(* a (sqrt (+ b c)))
12.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (+ b c))
18.0ms
(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
13.0ms
(* a (sqrt (+ b c)))
16.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

simplify69.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0467647
12275555
25001536

prune85.0ms

Filtered
94 candidates to 64 candidates (31.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh011
Picked011
Done022
Total94498

Merged error: 0b

Counts
98 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (sqrt a) (sqrt (+ b c))) (* (sqrt a) (sqrt (+ b c)))) (* a d))
0.4b
(* (sqrt a) (sqrt (+ b c)))
0.4b
(* (sqrt a) (sqrt (+ b c)))
0.6b
(* (* (sqrt a) (sqrt (+ b c))) (* (sqrt a) (sqrt (+ b c))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
67×pow1
41×pow-prod-down
28×add-sqr-sqrt
22×sqrt-prod
20×add-exp-log sqrt-pow1 pow1/2 add-cbrt-cube
18×associate-*r/
16×*-un-lft-identity sqrt-div
15×associate-*r*
13×associate-*l*
12×add-cube-cbrt
10×prod-exp cbrt-unprod
flip3-+ flip-+
pow-prod-up unswap-sqr
sqrt-unprod
pow-sqr add-log-exp
frac-times
*-commutative
pow-plus associate-*l/ distribute-lft-out
+-commutative pow2 swap-sqr sum-log rem-square-sqrt
Counts
4 → 129
Calls
4 calls:
17.0ms
(+ (* (* (sqrt a) (sqrt (+ b c))) (* (sqrt a) (sqrt (+ b c)))) (* a d))
9.0ms
(* (sqrt a) (sqrt (+ b c)))
8.0ms
(* (sqrt a) (sqrt (+ b c)))
16.0ms
(* (* (sqrt a) (sqrt (+ b c))) (* (sqrt a) (sqrt (+ b c))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* (* (sqrt a) (sqrt (+ b c))) (* (sqrt a) (sqrt (+ b c)))) (* a d))
19.0ms
(* (sqrt a) (sqrt (+ b c)))
23.0ms
(* (sqrt a) (sqrt (+ b c)))
11.0ms
(* (* (sqrt a) (sqrt (+ b c))) (* (sqrt a) (sqrt (+ b c))))

simplify74.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0428909
12081753
25001731

prune97.0ms

Filtered
141 candidates to 80 candidates (43.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1410141
Fresh000
Picked011
Done033
Total1414145

Merged error: 0b

Counts
145 → 4

regimes402.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103
1103

end0.0ms

sample842.0ms

Algorithm
intervals
Results
307.0ms8000×pre80true
192.0ms8000×body80valid

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