Details

Time bar (total: 2.1s)

analyze299.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
8.0ms244×body80valid
1.0ms21×body80invalid
1.0ms5×body640valid
0.0ms3×body320valid
0.0ms3×body160valid
0.0ms1×body1280valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b
(+ (* d1 3.0) (* d1 d2))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 26
Calls
2 calls:
6.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
4.0ms
(+ (* d1 3.0) (* d1 d2))

series15.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
5.0ms
(+ (* d1 3.0) (* d1 d2))

simplify106.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0187191
1787163
23595151
35001151

prune46.0ms

Filtered
23 candidates to 32 candidates (-39.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh011
Picked011
Done000
Total30434

Merged error: 0.0b

Counts
34 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (+ 3.0 d2) d3))

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
(* d1 (+ (+ 3.0 d2) d3))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify83.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune33.0ms

Filtered
16 candidates to 27 candidates (-68.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New25227
Fresh112
Picked011
Done011
Total26531

Merged error: 0b

Counts
31 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
0.2b
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×associate-*r*
14×sqrt-div
11×add-sqr-sqrt sqrt-prod
10×associate-*r/
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt flip3-+ flip-+
6×distribute-lft-out
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative add-log-exp unswap-sqr
Counts
2 → 57
Calls
2 calls:
9.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
18.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
7.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

simplify41.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0314517
11392443
25001431

prune81.0ms

Filtered
36 candidates to 63 candidates (-75.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh022
Picked011
Done022
Total63568

Merged error: 0b

Counts
68 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
2.3b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
6.9b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
16.2b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate--l+ associate-/r* flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 115
Calls
4 calls:
8.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
12.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
17.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series56.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
6.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
20.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
28.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify82.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0538973
12736846
25002842

prune124.0ms

Filtered
77 candidates to 127 candidates (-64.9%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1270127
Fresh011
Picked011
Done033
Total1275132

Merged error: 0b

Counts
132 → 5

regimes213.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145
1145

end0.0ms

analyze293.0ms

Algorithm
search

sample485.0ms

Algorithm
intervals
Results
241.0ms7435×body80valid
24.0ms215×body640valid
20.0ms655×body80invalid
14.0ms99×body1280valid
13.0ms156×body320valid
5.0ms95×body160valid

Profiling

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