Details

Time bar (total: 3.1s)

sample19.0ms

Algorithm
intervals
Results
7.0ms291×body80valid
1.0ms8×body640valid
1.0ms10×body320valid
0.0ms3×body1280valid
0.0ms1×body160valid

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: 0.1b

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
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))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify88.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune40.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
3.0b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
6.2b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
16.7b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite53.0ms

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)))
20.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series237.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
35.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
84.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
97.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify85.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0538973
12736846
25002842

prune187.0ms

Filtered
127 candidates to 77 candidates (60.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1261127
Fresh022
Picked011
Done011
Total1265131

Merged error: 0b

Counts
131 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
0.4b
(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
3.0b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
18.6b
(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
214×*-un-lft-identity
210×times-frac
139×add-sqr-sqrt
95×add-cube-cbrt
53×difference-of-squares
42×distribute-lft-out--
34×associate-/r*
27×distribute-lft-out
13×add-exp-log add-cbrt-cube
11×pow1 associate-/r/
9×associate-/l*
7×flip3-- flip--
6×flip3-+ swap-sqr flip-+ div-inv add-log-exp
4×cbrt-undiv frac-times div-exp associate-*r* associate-*l*
2×distribute-rgt-in frac-2neg distribute-lft-in associate-*r/ associate-*l/ associate--l+ clear-num associate-/l/
1×pow2 sub-neg pow-plus diff-log div-sub pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 244
Calls
4 calls:
8.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
19.0ms
(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
8.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
16.0ms
(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
97.0ms
(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
35.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
71.0ms
(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

simplify61.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08823320
150013060

prune457.0ms

Filtered
256 candidates to 170 candidates (66.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2560256
Fresh022
Picked011
Done022
Total2565261

Merged error: 0b

Counts
261 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

2.2b
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
2.3b
(- (* d3 d3) (* (+ 3.0 d2) d3))
3.1b
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
25.9b
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
26×distribute-lft-out
18×associate-/r/
16×unpow-prod-down flip3-+ cube-prod frac-add flip-+
13×associate-*r*
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×flip3-- flip--
8×frac-times add-cube-cbrt associate-*r/ add-log-exp
6×pow1
4×associate-*l/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp sum-cubes cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in sub-neg distribute-rgt-out-- frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 107
Calls
4 calls:
14.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
3.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
19.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
30.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

series437.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
27.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
152.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
196.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

simplify114.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
08241527
143521379
250011374

prune284.0ms

Filtered
119 candidates to 78 candidates (65.5%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done033
Total1195124

Merged error: 0b

Counts
124 → 5

regimes66.0ms

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
0103
1103

end0.0ms

sample482.0ms

Algorithm
intervals
Results
241.0ms9474×body80valid
18.0ms195×body640valid
10.0ms154×body320valid
10.0ms91×body1280valid
3.0ms75×body160valid