Details

Time bar (total: 2.6s)

sample20.0ms

Algorithm
intervals
Results
9.0ms316×body80valid
0.0msbody640valid
0.0msbody1280valid
0.0msbody320valid
0.0msbody160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune5.0ms

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: 0.0b

Counts
2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

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

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify86.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune43.0ms

Filtered
27 candidates to 16 candidates (59.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh101
Picked011
Done000
Total25429

Merged error: 0.0b

Counts
29 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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
(* d1 (+ 3.0 d2))
6.0ms
(+ (* d1 (+ 3.0 d2)) (* d1 d3))

series72.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* d1 (+ 3.0 d2))
40.0ms
(+ (* d1 (+ 3.0 d2)) (* d1 d3))

simplify36.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0216183
1975162
25001160

prune63.0ms

Filtered
43 candidates to 28 candidates (65.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh112
Picked101
Done011
Total44347

Merged error: 0b

Counts
47 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
0.5b
(cbrt (+ (+ 3.0 d2) d3))
0.5b
(cbrt (+ (+ 3.0 d2) d3))
0.5b
(cbrt (+ (+ 3.0 d2) d3))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
flip3-+ pow1/3 flip-+
associate-*r* associate-*l*
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
15.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
5.0ms
(cbrt (+ (+ 3.0 d2) d3))
8.0ms
(cbrt (+ (+ 3.0 d2) d3))
5.0ms
(cbrt (+ (+ 3.0 d2) d3))

series387.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
98.0ms
(cbrt (+ (+ 3.0 d2) d3))
97.0ms
(cbrt (+ (+ 3.0 d2) d3))
99.0ms
(cbrt (+ (+ 3.0 d2) d3))

simplify136.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
03041036
1964979
24398875
35001870

prune222.0ms

Filtered
117 candidates to 75 candidates (64.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh011
Picked011
Done011
Total1173120

Merged error: 0b

Counts
120 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* d2 d2) (* 3.0 d2))
0.0b
(+ (/ (* d1 (+ (pow 3.0 3) (pow d2 3))) (+ (* 3.0 3.0) (- (* d2 d2) (* 3.0 d2)))) (* d1 d3))
4.7b
(* d1 (+ (pow 3.0 3) (pow d2 3)))
16.4b
(/ (* d1 (+ (pow 3.0 3) (pow d2 3))) (+ (* 3.0 3.0) (- (* d2 d2) (* 3.0 d2))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
associate-*r*
add-cube-cbrt add-log-exp
pow1
distribute-lft-out
unpow-prod-down flip3-+ cube-prod associate-*r/ flip-+
times-frac associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
+-commutative distribute-rgt-in sub-neg flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-log sum-cubes *-commutative flip-- div-inv associate-/l* unswap-sqr
Counts
4 → 77
Calls
4 calls:
4.0ms
(- (* d2 d2) (* 3.0 d2))
22.0ms
(+ (/ (* d1 (+ (pow 3.0 3) (pow d2 3))) (+ (* 3.0 3.0) (- (* d2 d2) (* 3.0 d2)))) (* d1 d3))
14.0ms
(* d1 (+ (pow 3.0 3) (pow d2 3)))
19.0ms
(/ (* d1 (+ (pow 3.0 3) (pow d2 3))) (+ (* 3.0 3.0) (- (* d2 d2) (* 3.0 d2))))

series437.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (* d2 d2) (* 3.0 d2))
137.0ms
(+ (/ (* d1 (+ (pow 3.0 3) (pow d2 3))) (+ (* 3.0 3.0) (- (* d2 d2) (* 3.0 d2)))) (* d1 d3))
88.0ms
(* d1 (+ (pow 3.0 3) (pow d2 3)))
155.0ms
(/ (* d1 (+ (pow 3.0 3) (pow d2 3))) (+ (* 3.0 3.0) (- (* d2 d2) (* 3.0 d2))))

simplify73.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0480813
12445710
25002703

prune200.0ms

Filtered
89 candidates to 64 candidates (71.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh000
Picked011
Done022
Total89392

Merged error: 0b

Counts
92 → 3

regimes49.0ms

Accuracy

0% (0.0b 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
0103
1103

end0.0ms

sample537.0ms

Algorithm
intervals
Results
285.0ms9627×body80valid
23.0ms224×body640valid
15.0ms98×body1280valid
10.0ms133×body320valid
4.0ms76×body160valid

Profiling

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