Details

Time bar (total: 7.5s)

sample91.0ms

Algorithm
intervals
Results
52.0ms661×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.5b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c z) (* t i))
4.8b
(* x (- (* y z) (* t a)))
4.9b
(* b (- (* c z) (* t i)))
5.7b
(* j (- (* c a) (* y i)))

rewrite23.0ms

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
(- (* c z) (* t i))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* j (- (* c a) (* y i)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* c z) (* t i))
65.0ms
(* x (- (* y z) (* t a)))
62.0ms
(* b (- (* c z) (* t i)))
68.0ms
(* j (- (* c a) (* y i)))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0422552
11762485
25001485

prune399.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New712596
Fresh000
Picked101
Done000
Total722597

Merged error: 6.8b

Counts
97 → 25

localize22.0ms

Local error

Found 4 expressions with local error:

4.8b
(* x (- (* y z) (* t a)))
4.9b
(* b (* c z))
5.4b
(* b (neg (* t i)))
5.7b
(* j (- (* c a) (* y i)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
13×associate-*r*
12×associate-*l*
11×add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×unswap-sqr
2×flip3-- flip--
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out
Counts
4 → 88
Calls
4 calls:
6.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* b (* c z))
5.0ms
(* b (neg (* t i)))
6.0ms
(* j (- (* c a) (* y i)))

series188.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* x (- (* y z) (* t a)))
24.0ms
(* b (* c z))
30.0ms
(* b (neg (* t i)))
65.0ms
(* j (- (* c a) (* y i)))

simplify59.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0445484
12073419
25001419

prune398.0ms

Filtered
100 candidates to 67 candidates (67.0%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New973100
Fresh12324
Picked101
Done000
Total9926125

Merged error: 5.6b

Counts
125 → 26

localize21.0ms

Local error

Found 4 expressions with local error:

4.8b
(* x (- (* y z) (* t a)))
4.9b
(* b (* c z))
5.2b
(* t (* i b))
5.7b
(* j (- (* c a) (* y i)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l*
10×add-cube-cbrt *-un-lft-identity
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
2×flip3-- flip-- unswap-sqr
Counts
4 → 84
Calls
4 calls:
6.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* b (* c z))
5.0ms
(* t (* i b))
6.0ms
(* j (- (* c a) (* y i)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* x (- (* y z) (* t a)))
27.0ms
(* b (* c z))
24.0ms
(* t (* i b))
64.0ms
(* j (- (* c a) (* y i)))

simplify71.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0438454
11788384
25001384

prune357.0ms

Filtered
96 candidates to 58 candidates (60.4%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New92496
Fresh42125
Picked101
Done000
Total9725122

Merged error: 5.1b

Counts
122 → 25

localize23.0ms

Local error

Found 4 expressions with local error:

5.7b
(* j (- (* c a) (* y i)))
6.3b
(cbrt (- (* y z) (* t a)))
6.3b
(cbrt (- (* y z) (* t a)))
6.3b
(cbrt (- (* y z) (* t a)))

rewrite21.0ms

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
(* j (- (* c a) (* y i)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))

series397.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* j (- (* c a) (* y i)))
110.0ms
(cbrt (- (* y z) (* t a)))
110.0ms
(cbrt (- (* y z) (* t a)))
111.0ms
(cbrt (- (* y z) (* t a)))

simplify113.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0312590
11056543
23795525
35002516

prune332.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New73275
Fresh02424
Picked101
Done000
Total7426100

Merged error: 5.1b

Counts
100 → 26

regimes1.7s

Accuracy

46.8% (3.7b remaining)

Error of 9.5b against oracle of 5.8b and baseline of 12.7b

bsearch205.0ms

Steps
ItersRangePoint
7
1.3408763598281072e+70
8.369534268030642e+71
1.8469854035765568e+70
8
-2.1477931450879156e-64
-3.9334629845855944e-67
-2.1208254153010522e-64

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07380
17980
28580
38580

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s19419×body80valid

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