Details

Time bar (total: 2.0s)

analyze3.0ms

Algorithm
search
sampling

Space saved by range analysis: 99.999711%

Space saved by search: 99.999711%

Guaranteed chance to sample good point: 100%

sample29.0ms

Algorithm
intervals
Results
10.0ms256×pre80true
6.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0183
1393
2653
3703
4703

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×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))

simplify99.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0146114
1738100
24526100
35001100

prune37.0ms

Filtered
17 candidates to 27 candidates (-58.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh000
Picked011
Done000
Total24428

Merged error: 0b

Counts
28 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
5.0ms
(sqrt (+ (+ b c) d))
5.0ms
(sqrt (+ (+ b c) d))
9.0ms
(* a (sqrt (+ (+ b c) d)))
15.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (+ (+ b c) d))
10.0ms
(sqrt (+ (+ b c) d))
22.0ms
(* a (sqrt (+ (+ b c) d)))
24.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify49.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0368717
11618641
25002619

prune82.0ms

Filtered
66 candidates to 103 candidates (-56.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh022
Picked011
Done011
Total1034107

Merged error: 0b

Counts
107 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (+ (+ b c) d))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.5b
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ associate-*r* flip-+
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
3×distribute-lft-out
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 107
Calls
4 calls:
8.0ms
(* a (+ (+ b c) d))
6.0ms
(sqrt (* a (+ (+ b c) d)))
6.0ms
(sqrt (* a (+ (+ b c) d)))
19.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series136.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* a (+ (+ b c) d))
58.0ms
(sqrt (* a (+ (+ b c) d)))
61.0ms
(sqrt (* a (+ (+ b c) d)))
8.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify68.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0335702
11829643
25001621

prune90.0ms

Filtered
70 candidates to 119 candidates (-70.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done022
Total1194123

Merged error: 0b

Counts
123 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (sqrt a) (+ (+ b c) d))
0.4b
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity associate-*l*
11×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt sqrt-prod
6×associate-*r/ associate-*r*
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×flip3-+ *-commutative flip-+ add-log-exp unswap-sqr
Counts
2 → 55
Calls
2 calls:
9.0ms
(* (sqrt a) (+ (+ b c) d))
11.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series41.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (sqrt a) (+ (+ b c) d))
18.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify41.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0261347
11282294
25001294

prune43.0ms

Filtered
39 candidates to 61 candidates (-56.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New61061
Fresh000
Picked011
Done033
Total61465

Merged error: 0b

Counts
65 → 4

regimes397.0ms

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

analyze2.0ms

Algorithm
search
sampling

Space saved by range analysis: 99.999711%

Space saved by search: 99.999711%

Guaranteed chance to sample good point: 100%

sample671.0ms

Algorithm
intervals
Results
302.0ms8000×pre80true
198.0ms8000×body80valid

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