Details

Time bar (total: 22.0s)

analyze2.1s

Algorithm
search

sample106.0ms

Algorithm
intervals
Results
43.0ms421×body80invalid
23.0ms256×body80valid

simplify79.0ms

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: 14.3b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* y z) (* t a))
5.3b
(* b (- (* c z) (* i a)))
6.0b
(* x (- (* y z) (* t a)))
6.9b
(* j (- (* c t) (* i y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
7×sub-neg
6×distribute-rgt-in distribute-lft-in associate-*r/ add-log-exp
4×flip3-- flip--
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log
Counts
4 → 84
Calls
4 calls:
3.0ms
(- (* y z) (* t a))
5.0ms
(* b (- (* c z) (* i a)))
5.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* j (- (* c t) (* i y)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* y z) (* t a))
18.0ms
(* b (- (* c z) (* i a)))
18.0ms
(* x (- (* y z) (* t a)))
21.0ms
(* j (- (* c t) (* i y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0425552
11771485
25002485

prune260.0ms

Filtered
63 candidates to 96 candidates (-52.4%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New752196
Fresh000
Picked101
Done000
Total762197

Merged error: 10.4b

Counts
97 → 21

localize29.0ms

Local error

Found 4 expressions with local error:

6.9b
(* j (- (* c t) (* i y)))
7.5b
(cbrt (* j (- (* c t) (* i y))))
7.5b
(cbrt (* j (- (* c t) (* i y))))
7.5b
(cbrt (* j (- (* c t) (* i y))))

rewrite19.0ms

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:
5.0ms
(* j (- (* c t) (* i y)))
4.0ms
(cbrt (* j (- (* c t) (* i y))))
4.0ms
(cbrt (* j (- (* c t) (* i y))))
4.0ms
(cbrt (* j (- (* c t) (* i y))))

series146.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* j (- (* c t) (* i y)))
41.0ms
(cbrt (* j (- (* c t) (* i y))))
41.0ms
(cbrt (* j (- (* c t) (* i y))))
45.0ms
(cbrt (* j (- (* c t) (* i y))))

simplify95.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0254554
1935501
23666492
35001483

prune228.0ms

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

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New67269
Fresh11920
Picked011
Done000
Total682290

Merged error: 10.4b

Counts
90 → 22

localize35.0ms

Local error

Found 4 expressions with local error:

6.9b
(* j (- (* c t) (* i y)))
7.5b
(cbrt (* j (- (* c t) (* i y))))
7.5b
(cbrt (* j (- (* c t) (* i y))))
8.7b
(cbrt (- (* c t) (* i y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div associate-*r/ add-cbrt-cube
5×cbrt-prod
4×flip3-- flip-- add-log-exp
3×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 → 59
Calls
4 calls:
6.0ms
(* j (- (* c t) (* i y)))
4.0ms
(cbrt (* j (- (* c t) (* i y))))
5.0ms
(cbrt (* j (- (* c t) (* i y))))
3.0ms
(cbrt (- (* c t) (* i y)))

series140.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* j (- (* c t) (* i y)))
41.0ms
(cbrt (* j (- (* c t) (* i y))))
44.0ms
(cbrt (* j (- (* c t) (* i y))))
36.0ms
(cbrt (- (* c t) (* i y)))

simplify108.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0327570
11120519
24277509
35001503

prune232.0ms

Filtered
57 candidates to 71 candidates (-24.6%)
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New70171
Fresh02020
Picked011
Done011
Total702393

Merged error: 10.4b

Counts
93 → 23

localize30.0ms

Local error

Found 4 expressions with local error:

2.6b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
3.7b
(* (cbrt x) (- (* y z) (* t a)))
5.3b
(* b (- (* c z) (* i a)))
6.9b
(* j (- (* c t) (* i y)))

rewrite31.0ms

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:
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
6.0ms
(* (cbrt x) (- (* y z) (* t a)))
5.0ms
(* b (- (* c z) (* i a)))
5.0ms
(* j (- (* c t) (* i y)))

series127.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
68.0ms
(* (cbrt x) (- (* y z) (* t a)))
18.0ms
(* b (- (* c z) (* i a)))
18.0ms
(* j (- (* c t) (* i y)))

simplify71.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0591987
12488780
25002717

prune103.0ms

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

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New1146120
Fresh11920
Picked101
Done022
Total11627143

Merged error: 9.9b

Counts
143 → 27

regimes2.6s

Accuracy

8.4% (4.2b remaining)

Error of 12.5b against oracle of 8.3b and baseline of 12.9b

bsearch10.4s

Steps
ItersRangePoint
8
7.384717667245455e-263
3.9063829985976266e-260
8.33519485415228e-262
9
-2.096025360436514e-177
-5.950768660171882e-186
-2.957964209592168e-180

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05852
16452
26452

end0.0ms

analyze2.1s

Algorithm
search

sample2.7s

Algorithm
intervals
Results
1.0s11257×body80invalid
743.0ms8000×body80valid

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