Details

Time bar (total: 5.1s)

analyze864.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
28.1%68.6%3.3%10
29.6%65.5%4.9%11
32%61.7%6.3%12
35.5%56.9%7.6%13
48%38.7%13.4%14

sample29.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
4.0ms93×body80invalid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0256
1695
21954
34614
49694
517604
624554
732584
834514
934514

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

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (- d2 d3) (- d4 d1)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
7×associate-*r*
6×associate-*r/
5×add-sqr-sqrt
4×flip3-- frac-add flip-- distribute-lft-out distribute-lft-out--
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
17.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

simplify69.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0298214
11486191
25003191

prune80.0ms

Filtered
22 candidates to 33 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh011
Picked011
Done000
Total31435

Merged error: 0b

Counts
35 → 4

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* d1 d2) (* d1 d3))
0.0b
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.0b
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
6×diff-log
4×add-sqr-sqrt sum-log
3×pow1 add-exp-log add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube
2×associate-+l- associate-+l+ flip3-- flip--
1×+-commutative associate--l- flip3-+ associate--l+ flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 45
Calls
3 calls:
3.0ms
(- (* d1 d2) (* d1 d3))
5.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
9.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series44.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(- (* d1 d2) (* d1 d3))
16.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
15.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

simplify60.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0256378
11060326
25001293

prune103.0ms

Filtered
40 candidates to 54 candidates (-35.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New54054
Fresh022
Picked011
Done011
Total54458

Merged error: 0b

Counts
58 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (- d2 d3) (- d4 d1)))
0.5b
(cbrt (+ (- d2 d3) (- d4 d1)))
0.5b
(cbrt (+ (- d2 d3) (- d4 d1)))
0.5b
(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
102×cbrt-div
93×cbrt-prod
68×flip3-- frac-add flip--
60×distribute-lft-out distribute-lft-out--
36×frac-times
30×swap-sqr
23×add-sqr-sqrt
17×flip3-+ flip-+
15×add-cube-cbrt
11×pow1
10×associate-*r* associate-*l*
9×pow1/3
6×add-exp-log associate-*r/ associate-*l/
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 183
Calls
4 calls:
11.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
8.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
8.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
24.0ms
(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))

series263.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
61.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
73.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
79.0ms
(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))

simplify78.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04893392
115993327
250023062

prune204.0ms

Filtered
106 candidates to 195 candidates (-84.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1950195
Fresh011
Picked011
Done022
Total1954199

Merged error: 0b

Counts
199 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- d4 d1) (- d4 d1))
5.7b
(- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))
11.8b
(* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1))))
27.9b
(/ (* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))) (- (- d2 d3) (- d4 d1)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
302×flip3-- flip--
230×associate-*r/
196×frac-times frac-sub
98×associate-*l/
66×associate-/l/
50×*-un-lft-identity
28×add-sqr-sqrt
22×distribute-lft-out--
16×distribute-rgt-in distribute-lft-in
13×pow1 add-exp-log sub-neg add-cbrt-cube
12×add-cube-cbrt associate--l+
9×associate-*r*
8×times-frac associate-*l* associate-/r* difference-of-squares
7×swap-sqr
6×associate-/r/ add-log-exp
4×associate--r+
3×prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down *-commutative unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 330
Calls
4 calls:
17.0ms
(* (- d4 d1) (- d4 d1))
26.0ms
(- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))
22.0ms
(* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1))))
32.0ms
(/ (* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))) (- (- d2 d3) (- d4 d1)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (- d4 d1) (- d4 d1))
67.0ms
(- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))
43.0ms
(* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1))))
82.0ms
(/ (* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))) (- (- d2 d3) (- d4 d1)))

simplify112.0ms

Algorithm
egg-herbie
Counts
342 → 342
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
017746326
150026200

prune421.0ms

Filtered
214 candidates to 342 candidates (-59.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3420342
Fresh000
Picked011
Done033
Total3424346

Merged error: 0b

Counts
346 → 4

regimes371.0ms

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
0104
1104

end0.0ms

analyze909.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
28.1%68.6%3.3%10
29.6%65.5%4.9%11
32%61.7%6.3%12
35.5%56.9%7.6%13
48%38.7%13.4%14

sample852.0ms

Algorithm
intervals
Results
423.0ms8000×body80valid
121.0ms2353×body80invalid

Profiling

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