Details

Time bar (total: 3.2s)

sample28.0ms

Algorithm
intervals
Results
16.0ms326×body80valid
1.0ms4×body640valid
1.0ms5×body320valid
0.0ms2×body1280valid
0.0ms1×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:
40.0ms
(* d1 (+ (+ 3.0 d2) d3))

series28.0ms

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

simplify84.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
1.7b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
8.3b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
14.6b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite95.0ms

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:
16.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
34.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
32.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series231.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
39.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
80.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
96.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify83.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0538973
12736846
25002842

prune227.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* d1 d3) (* d1 d2))
0.0b
(+ (* 1.0 (+ (* d1 d3) (* d1 d2))) (* 3.0 d1))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
1×distribute-rgt-in distribute-lft-in distribute-lft-out
Counts
2 → 25
Calls
2 calls:
2.0ms
(+ (* d1 d3) (* d1 d2))
5.0ms
(+ (* 1.0 (+ (* d1 d3) (* d1 d2))) (* 3.0 d1))

series84.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (* d1 d3) (* d1 d2))
54.0ms
(+ (* 1.0 (+ (* d1 d3) (* d1 d2))) (* 3.0 d1))

simplify148.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (144.0ms)

IterNodesCost
0206220
1860194
24476179
35001173

prune73.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b
(- (* d3 d3) (* (+ 3.0 d2) d3))
3.0b
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
5.7b
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
27.0b
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

rewrite224.0ms

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:
3.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
38.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
111.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
68.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

series436.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
63.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
153.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
193.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

simplify113.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
08241527
143521379
250011374

prune320.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

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
0176
1176

end0.0ms

sample779.0ms

Algorithm
intervals
Results
489.0ms9535×body80valid
35.0ms222×body640valid
21.0ms103×body1280valid
17.0ms145×body320valid
7.0ms80×body160valid