Details

Time bar (total: 19.3s)

sample6.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results
28.0ms348×body80invalid
25.0ms256×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.5b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c z) (* t i))
5.0b
(* x (- (* y z) (* t a)))
5.8b
(* b (- (* c z) (* t i)))
7.2b
(* j (- (* c a) (* y i)))

rewrite25.0ms

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:
7.0ms
(- (* c z) (* t i))
5.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* j (- (* c a) (* y i)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* c z) (* t i))
19.0ms
(* x (- (* y z) (* t a)))
19.0ms
(* b (- (* c z) (* t i)))
19.0ms
(* j (- (* c a) (* y i)))

simplify50.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0422552
11762485
25001485

prune240.0ms

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

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New762096
Fresh000
Picked101
Done000
Total772097

Merged error: 10.0b

Counts
97 → 20

localize22.0ms

Local error

Found 4 expressions with local error:

5.0b
(* x (- (* y z) (* t a)))
5.6b
(* b (neg (* t i)))
6.2b
(* b (* c z))
7.2b
(* j (- (* c a) (* y i)))

rewrite22.0ms

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:
5.0ms
(* x (- (* y z) (* t a)))
4.0ms
(* b (neg (* t i)))
5.0ms
(* b (* c z))
6.0ms
(* j (- (* c a) (* y i)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* x (- (* y z) (* t a)))
8.0ms
(* b (neg (* t i)))
6.0ms
(* b (* c z))
18.0ms
(* j (- (* c a) (* y i)))

simplify56.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0445484
12073419
25001419

prune213.0ms

Filtered
67 candidates to 100 candidates (-49.3%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh31619
Picked101
Done000
Total10020120

Merged error: 7.6b

Counts
120 → 20

localize24.0ms

Local error

Found 4 expressions with local error:

5.0b
(* x (- (* y z) (* t a)))
5.4b
(* (* b c) z)
5.6b
(* b (neg (* t i)))
7.2b
(* j (- (* c a) (* y i)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log associate-*r* add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
10×associate-*l*
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:
5.0ms
(* x (- (* y z) (* t a)))
4.0ms
(* (* b c) z)
4.0ms
(* b (neg (* t i)))
5.0ms
(* j (- (* c a) (* y i)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* (* b c) z)
6.0ms
(* b (neg (* t i)))
18.0ms
(* j (- (* c a) (* y i)))

simplify62.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0454485
12203420
25001420

prune227.0ms

Filtered
67 candidates to 100 candidates (-49.3%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New946100
Fresh41519
Picked101
Done000
Total9921120

Merged error: 6.9b

Counts
120 → 21

localize23.0ms

Local error

Found 4 expressions with local error:

5.0b
(* x (- (* y z) (* t a)))
5.4b
(* (* b c) z)
5.9b
(* (* b (neg t)) i)
7.2b
(* j (- (* c a) (* y i)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×associate-*l* 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
1×distribute-lft-neg-out distribute-rgt-neg-out
Counts
4 → 85
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)))

series52.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* (* b c) z)
6.0ms
(* (* b (neg t)) i)
19.0ms
(* j (- (* c a) (* y i)))

simplify62.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0477478
12205408
25003408

prune87.0ms

Filtered
61 candidates to 97 candidates (-59.0%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New92597
Fresh41620
Picked101
Done000
Total9721118

Merged error: 6.7b

Counts
118 → 21

regimes2.1s

Accuracy

21.6% (5.2b remaining)

Error of 11.1b against oracle of 5.9b and baseline of 12.6b

bsearch109.0ms

Steps
ItersRangePoint
8
-1.870009957134593e+94
-2.624816251675257e+91
-4.230270124173543e+91

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06246
17046
27446
37446

end0.0ms

sample9.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results
978.0ms11261×body80invalid
714.0ms8000×body80valid

Profiling

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