Details

Time bar (total: 12.7s)

analyze2.2s

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14

sample96.0ms

Algorithm
intervals
Results
35.0ms378×body80invalid
20.0ms256×body80valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.0b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
2.5b
(* j (- (* c a) (* y i)))
4.3b
(* x (- (* y z) (* t a)))
4.5b
(* b (- (* c z) (* t i)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
34×associate-*r/
19×flip3-- flip--
16×add-sqr-sqrt
12×frac-add
11×sub-neg
10×pow1 add-exp-log distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in add-cbrt-cube
9×associate-*r* associate-*l* add-log-exp
8×frac-sub
6×associate-+l+
4×associate-+r+ associate--l+
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×sum-log
1×+-commutative associate-+l- flip3-+ diff-log flip-+
Counts
4 → 107
Calls
4 calls:
18.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
9.0ms
(* j (- (* c a) (* y i)))
10.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* t i)))

series527.0ms

Counts
4 → 12
Calls
4 calls:
448.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
32.0ms
(* j (- (* c a) (* y i)))
18.0ms
(* x (- (* y z) (* t a)))
29.0ms
(* b (- (* c z) (* t i)))

simplify50.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
09611832
150011770

prune319.0ms

Filtered
81 candidates to 119 candidates (-46.9%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New9722119
Fresh000
Picked101
Done000
Total9822120

Merged error: 4.8b

Counts
120 → 22

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
1.8b
(* (cbrt j) (- (* c a) (* y i)))
4.3b
(* x (- (* y z) (* t a)))
4.5b
(* b (- (* c z) (* t i)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1 add-exp-log
19×add-sqr-sqrt
15×add-cbrt-cube
14×distribute-rgt-in distribute-lft-in
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
10×sub-neg associate-*r/ associate-*r*
4×cbrt-prod flip3-- *-commutative flip-- add-log-exp unswap-sqr
Counts
4 → 108
Calls
4 calls:
16.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
13.0ms
(* (cbrt j) (- (* c a) (* y i)))
9.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* t i)))

series132.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
68.0ms
(* (cbrt j) (- (* c a) (* y i)))
18.0ms
(* x (- (* y z) (* t a)))
21.0ms
(* b (- (* c z) (* t i)))

simplify69.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0593987
12490787
25003724

prune240.0ms

Filtered
71 candidates to 120 candidates (-69.0%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh12021
Picked101
Done000
Total12022142

Merged error: 4.5b

Counts
142 → 22

localize51.0ms

Local error

Found 4 expressions with local error:

4.5b
(* b (- (* c z) (* t i)))
6.1b
(cbrt (* b (- (* c z) (* t i))))
6.1b
(cbrt (* b (- (* c z) (* t i))))
6.1b
(cbrt (* b (- (* c z) (* t i))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
6.0ms
(* b (- (* c z) (* t i)))
5.0ms
(cbrt (* b (- (* c z) (* t i))))
7.0ms
(cbrt (* b (- (* c z) (* t i))))
10.0ms
(cbrt (* b (- (* c z) (* t i))))

series300.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* b (- (* c z) (* t i)))
47.0ms
(cbrt (* b (- (* c z) (* t i))))
47.0ms
(cbrt (* b (- (* c z) (* t i))))
53.0ms
(cbrt (* b (- (* c z) (* t i))))

simplify101.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0252557
1917504
23681495
35002483

prune237.0ms

Filtered
56 candidates to 69 candidates (-23.2%)
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh02121
Picked011
Done000
Total682391

Merged error: 4.5b

Counts
91 → 23

localize27.0ms

Local error

Found 4 expressions with local error:

4.3b
(* x (- (* y z) (* t a)))
5.3b
(cbrt (- (* c z) (* t i)))
5.3b
(cbrt (- (* c z) (* t i)))
5.3b
(cbrt (- (* c z) (* t i)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
6.0ms
(* x (- (* y z) (* t a)))
3.0ms
(cbrt (- (* c z) (* t i)))
3.0ms
(cbrt (- (* c z) (* t i)))
3.0ms
(cbrt (- (* c z) (* t i)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* x (- (* y z) (* t a)))
42.0ms
(cbrt (- (* c z) (* t i)))
45.0ms
(cbrt (- (* c z) (* t i)))
63.0ms
(cbrt (- (* c z) (* t i)))

simplify116.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0313602
11075555
23839543
35001534

prune104.0ms

Filtered
59 candidates to 75 candidates (-27.1%)
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh02121
Picked011
Done011
Total752398

Merged error: 4.5b

Counts
98 → 23

regimes2.5s

Accuracy

61.9% (3.0b remaining)

Error of 7.5b against oracle of 4.5b and baseline of 12.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06463
16463

end0.0ms

analyze2.2s

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14

sample3.0s

Algorithm
intervals
Results
1.1s10994×body80invalid
793.0ms8000×body80valid

Profiling

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