Details

Time bar (total: 1.4min)

sample37.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results
32.0ms385×body80invalid
20.0ms256×body80valid

simplify83.0ms

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: 12.5b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c z) (* t i))
5.3b
(* b (- (* c z) (* t i)))
5.4b
(* x (- (* y z) (* t a)))
6.3b
(* j (- (* c a) (* y i)))

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

series68.0ms

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

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0422552
11762485
25001485

prune266.0ms

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: 8.8b

Counts
97 → 23

localize23.0ms

Local error

Found 4 expressions with local error:

3.9b
(* j (neg (* y i)))
5.3b
(* b (- (* c z) (* t i)))
5.4b
(* x (- (* y z) (* t a)))
5.9b
(* j (* c a))

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

series51.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* j (neg (* y i)))
19.0ms
(* b (- (* c z) (* t i)))
20.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* j (* c a))

simplify61.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0443484
12066419
25001419

prune230.0ms

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

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New973100
Fresh31922
Picked101
Done000
Total10122123

Merged error: 7.3b

Counts
123 → 22

localize22.0ms

Local error

Found 4 expressions with local error:

3.9b
(* j (neg (* y i)))
5.3b
(* b (- (* c z) (* t i)))
5.4b
(* x (- (* y z) (* t a)))
5.7b
(* (* j c) a)

rewrite23.0ms

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

series50.0ms

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

simplify62.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0452485
12197420
25001420

prune241.0ms

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

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New955100
Fresh41721
Picked101
Done000
Total10022122

Merged error: 6.7b

Counts
122 → 22

localize29.0ms

Local error

Found 4 expressions with local error:

5.3b
(* b (- (* c z) (* t i)))
5.3b
(* b (- (* c z) (* t i)))
5.4b
(* x (- (* y z) (* t a)))
5.7b
(* (* j c) a)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
12×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×associate-*l*
6×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ pow-prod-down prod-exp cbrt-unprod
4×*-commutative add-log-exp
3×flip3-- flip-- unswap-sqr
Counts
4 → 90
Calls
4 calls:
6.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* b (- (* c z) (* t i)))
5.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* (* j c) a)

series64.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* b (- (* c z) (* t i)))
18.0ms
(* b (- (* c z) (* t i)))
18.0ms
(* x (- (* y z) (* t a)))
8.0ms
(* (* j c) a)

simplify50.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0365544
11606469
25002469

prune88.0ms

Filtered
63 candidates to 102 candidates (-61.9%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New1011102
Fresh02121
Picked101
Done000
Total10222124

Merged error: 6.7b

Counts
124 → 22

regimes2.2s

Accuracy

46.3% (3.5b remaining)

Error of 9.1b against oracle of 5.6b and baseline of 12.2b

bsearch191.0ms

Steps
ItersRangePoint
6
9.612074957648669e+56
7.337408373397673e+57
1.6163561132892296e+57
8
-1.1417675788820343e-92
-1.0828201690205323e-96
-5.449545549817935e-93

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07060
17860
28260
38260

end0.0ms

sample44.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results
910.0ms11364×body80invalid
640.0ms8000×body80valid

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