Details

Time bar (total: 9.0s)

sample1.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 86.328125%

Results
26.0ms335×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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.5b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* c z) (* t i))
4.1b
(* j (- (* c a) (* y i)))
4.5b
(* x (- (* y z) (* t a)))
5.3b
(* b (- (* c z) (* t 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:
3.0ms
(- (* c z) (* t i))
5.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))
8.0ms
(* b (- (* c z) (* t i)))

series64.0ms

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

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0422552
11762485
25001485

prune274.0ms

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

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New722496
Fresh000
Picked101
Done000
Total732497

Merged error: 7.9b

Counts
97 → 24

localize25.0ms

Local error

Found 4 expressions with local error:

4.1b
(* j (- (* c a) (* y i)))
4.5b
(* x (- (* y z) (* t a)))
5.4b
(* b (* c z))
5.7b
(* b (neg (* t i)))

rewrite23.0ms

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

series48.0ms

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

simplify62.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0445484
12073419
25001419

prune235.0ms

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

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New955100
Fresh61723
Picked101
Done000
Total10222124

Merged error: 5.4b

Counts
124 → 22

localize25.0ms

Local error

Found 4 expressions with local error:

4.5b
(* x (- (* y z) (* t a)))
5.3b
(* j (neg (* y i)))
5.3b
(* b (- (* c z) (* t i)))
5.4b
(* 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:
6.0ms
(* x (- (* y z) (* t a)))
4.0ms
(* j (neg (* y i)))
6.0ms
(* b (- (* c z) (* t i)))
5.0ms
(* j (* c a))

series51.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* j (neg (* y i)))
18.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* j (* c a))

simplify58.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0443484
12066419
25001419

prune240.0ms

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

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New973100
Fresh12021
Picked101
Done000
Total9923122

Merged error: 4.0b

Counts
122 → 23

localize22.0ms

Local error

Found 4 expressions with local error:

4.5b
(* x (- (* y z) (* t a)))
5.2b
(* (* j c) a)
5.3b
(* j (neg (* y i)))
5.3b
(* b (- (* c z) (* t 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
(* (* j c) a)
5.0ms
(* j (neg (* y i)))
6.0ms
(* b (- (* c z) (* t i)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* (* j c) a)
6.0ms
(* j (neg (* y i)))
18.0ms
(* b (- (* c z) (* t i)))

simplify60.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0452485
12197420
25001420

prune98.0ms

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: 3.7b

Counts
123 → 23

regimes2.4s

Accuracy

14.3% (6.9b remaining)

Error of 10.9b against oracle of 4.0b and baseline of 12.1b

bsearch96.0ms

Steps
ItersRangePoint
5
7.521422274033988e-21
1.8681078737400502e-20
1.357757146298448e-20
7
-4.689750611950655e-172
-2.1111868732056537e-174
-2.873284988935195e-173

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07032
18432
29332
39332

end0.0ms

sample3.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 86.328125%

Results
915.0ms11037×body80invalid
651.0ms8000×body80valid

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