Details

Time bar (total: 15.1s)

analyze2.1s

Algorithm
search

sample96.0ms

Algorithm
intervals
Results
31.0ms404×body80invalid
25.0ms256×body80valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.8b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* y z) (* t a))
4.9b
(* b (- (* c z) (* t i)))
5.8b
(* x (- (* y z) (* t a)))
7.9b
(* 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
(- (* y z) (* t a))
6.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* j (- (* c a) (* y i)))

series69.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(- (* y z) (* t a))
19.0ms
(* b (- (* c z) (* t i)))
18.0ms
(* x (- (* y z) (* t a)))
19.0ms
(* j (- (* c a) (* y i)))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0423552
11763485
25002485

prune256.0ms

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

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New732396
Fresh000
Picked101
Done000
Total742397

Merged error: 10.1b

Counts
97 → 23

localize22.0ms

Local error

Found 4 expressions with local error:

3.9b
(* b (neg (* t i)))
4.9b
(* b (* c z))
5.8b
(* x (- (* y z) (* t a)))
7.9b
(* j (- (* c a) (* y i)))

rewrite25.0ms

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
(* b (neg (* t i)))
5.0ms
(* b (* c z))
6.0ms
(* x (- (* y z) (* t a)))
8.0ms
(* j (- (* c a) (* y i)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* b (neg (* t i)))
6.0ms
(* b (* c z))
18.0ms
(* x (- (* y z) (* t a)))
19.0ms
(* j (- (* c a) (* y i)))

simplify61.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0445484
12073419
25001419

prune229.0ms

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

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh31922
Picked101
Done000
Total10023123

Merged error: 7.6b

Counts
123 → 23

localize25.0ms

Local error

Found 4 expressions with local error:

4.9b
(* b (* c z))
5.8b
(* x (- (* y z) (* t a)))
7.9b
(* j (- (* c a) (* y i)))
8.2b
(* t (* i b))

rewrite24.0ms

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

series49.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* b (* c z))
19.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* t (* i b))

simplify55.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0438454
11788384
25001384

prune231.0ms

Filtered
58 candidates to 96 candidates (-65.5%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New93396
Fresh02222
Picked101
Done000
Total9425119

Merged error: 7.1b

Counts
119 → 25

localize26.0ms

Local error

Found 4 expressions with local error:

4.4b
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* i b)))
4.9b
(* b (* c z))
5.8b
(* x (- (* y z) (* t a)))
7.9b
(* j (- (* c a) (* y i)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
24×add-cbrt-cube
20×pow-prod-down prod-exp cbrt-unprod
13×add-sqr-sqrt
10×associate-*l*
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
2×flip3-- flip-- unswap-sqr
Counts
4 → 94
Calls
4 calls:
11.0ms
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* i b)))
4.0ms
(* b (* c z))
5.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* j (- (* c a) (* y i)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* i b)))
6.0ms
(* b (* c z))
20.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* j (- (* c a) (* y i)))

simplify61.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0515657
12190502
25002467

prune81.0ms

Filtered
58 candidates to 106 candidates (-82.8%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New1042106
Fresh12324
Picked101
Done000
Total10625131

Merged error: 7.1b

Counts
131 → 25

regimes2.2s

Accuracy

6.1% (6.5b remaining)

Error of 12.8b against oracle of 6.3b and baseline of 13.2b

bsearch4.8s

Steps
ItersRangePoint
6
3.9254189356343804e-214
3.897927532435409e-213
1.1188969814517717e-213
3
-1.2628510684190464e-224
-9.208386267814526e-225
-1.0306115892092515e-224

simplify6.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07155
18655
29055
39055

end0.0ms

analyze1.9s

Algorithm
search

sample2.4s

Algorithm
intervals
Results
897.0ms11140×body80invalid
641.0ms8000×body80valid

Profiling

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