Details

Time bar (total: 42.8s)

analyze5.3s (12.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.2%0.8%0
0%99.2%0.8%1
0%99.2%0.8%2
0%99.2%0.8%3
0%99.2%0.8%4
0%99.2%0.8%5
0%99.2%0.8%6
0%99.2%0.8%7
0%99.2%0.8%8
0%99.2%0.8%9
0%99.2%0.8%10
0%99.2%0.8%11
0%99.2%0.8%12
0%99.2%0.8%13
0%99.2%0.8%14

sample718.0ms (1.7%)

Algorithm
intervals
Results
455.0ms1990×body80invalid
59.0ms256×body80valid

simplify34.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
0542795

prune20.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 25.3b

Counts
2 → 1

localize68.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.3b
(* (- (* x y) (* z t)) (- (* a b) (* c i)))
7.3b
(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.1b
(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
11.7b
(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite42.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
24×flip3-- flip--
20×add-sqr-sqrt
16×frac-times
12×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
sub-neg associate-*r/ associate-*l/
distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
4 → 112
Calls

4 calls:

10.0ms
(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0ms
(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.0ms
(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms
(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series204.0ms (0.5%)

Counts
4 → 12
Calls

4 calls:

54.0ms
(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
51.0ms
(* (- (* x y) (* z t)) (- (* a b) (* c i)))
50.0ms
(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
49.0ms
(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

simplify46.0ms (0.1%)

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050452796

prune479.0ms (1.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New10420124
Fresh000
Picked101
Done000
Total10520125

Merged error: 16.0b

Counts
125 → 20

localize73.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.0b
(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
7.3b
(* (- (* x y) (* z t)) (- (* a b) (* c i)))
7.3b
(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
11.7b
(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite41.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
24×flip3-- flip--
20×add-sqr-sqrt
16×frac-times
12×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
sub-neg associate-*r/ associate-*l/
distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
4 → 112
Calls

4 calls:

10.0ms
(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.0ms
(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms
(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.0ms
(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series200.0ms (0.5%)

Counts
4 → 12
Calls

4 calls:

52.0ms
(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
50.0ms
(* (- (* x y) (* z t)) (- (* a b) (* c i)))
50.0ms
(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
48.0ms
(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify44.0ms (0.1%)

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050482796

prune497.0ms (1.2%)

Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New1159124
Fresh21719
Picked101
Done000
Total11826144

Merged error: 12.1b

Counts
144 → 26

localize79.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.7b
(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
7.3b
(* (- (* x y) (* z t)) (- (* a b) (* c i)))
7.3b
(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
11.7b
(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite41.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
24×flip3-- flip--
20×add-sqr-sqrt
16×frac-times
12×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
sub-neg associate-*r/ associate-*l/
distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
4 → 112
Calls

4 calls:

10.0ms
(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.0ms
(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms
(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.0ms
(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series199.0ms (0.5%)

Counts
4 → 12
Calls

4 calls:

51.0ms
(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
50.0ms
(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
49.0ms
(* (- (* x y) (* z t)) (- (* a b) (* c i)))
48.0ms
(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify44.0ms (0.1%)

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050432796

prune543.0ms (1.3%)

Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New1177124
Fresh12425
Picked101
Done000
Total11931150

Merged error: 9.9b

Counts
150 → 31

localize93.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.2b
(cbrt (- (* y2 x) (* y3 z)))
7.3b
(* (- (* x y) (* z t)) (- (* a b) (* c i)))
7.3b
(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
11.7b
(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite36.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
19×flip3-- flip--
17×add-sqr-sqrt
12×frac-times
11×add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log add-cbrt-cube
associate-*r* associate-*l*
sub-neg associate-*r/ associate-*l/
add-log-exp
cbrt-prod distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
cbrt-div
pow1/3
Counts
4 → 97
Calls

4 calls:

10.0ms
(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.0ms
(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.0ms
(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
4.0ms
(cbrt (- (* y2 x) (* y3 z)))

series190.0ms (0.4%)

Counts
4 → 12
Calls

4 calls:

52.0ms
(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
52.0ms
(* (- (* x y) (* z t)) (- (* a b) (* c i)))
49.0ms
(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
37.0ms
(cbrt (- (* y2 x) (* y3 z)))

simplify45.0ms (0.1%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
051962330

prune188.0ms (0.4%)

Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New1081109
Fresh12930
Picked101
Done000
Total11030140

Merged error: 9.9b

Counts
140 → 30

regimes8.3s (19.4%)

Accuracy

Total 15.7b remaining (57.7%)

Threshold costs 0b (0%)

bsearch3.1s (7.2%)

Steps
ItersRangePoint
10
1.6842892130432673e+209
1.9176025174066396e+223
3.0102126024937256e+219
8
4.914819054118239e-26
4.0171182520034214e-23
1.4606536670303325e-24
8
1.3861391949724846e-124
1.9300701800890369e-121
4.739049134192001e-122
9
8.985675580446613e-208
6.049636141630936e-201
7.4118563930003295e-202
8
-5.5836221009420495e-297
-2.2624463034944726e-300
-3.194111024233313e-299
6
-1.2961443505182527e-226
-1.9851373290836072e-227
-5.887780185974675e-227
10
-2.1998143703833423e+39
-6.516043670168843e+24
-1.0401705200069696e+37

simplify97.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
03273797
13273797

end0.0ms (0%)

sample22.1s (51.6%)

Algorithm
intervals
Results
14.4s63629×body80invalid
1.8s8000×body80valid

Profiling

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