Details

Time bar (total: 26.5s)

analyze2.3s

Algorithm
search

sample93.0ms

Algorithm
intervals
Results
28.0ms343×body80invalid
26.0ms256×body80valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.3b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* y z) (* t a))
4.1b
(* x (- (* y z) (* t a)))
4.4b
(* j (- (* c t) (* i y)))
6.1b
(* b (- (* c z) (* i a)))

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

series67.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* y z) (* t a))
18.0ms
(* x (- (* y z) (* t a)))
20.0ms
(* j (- (* c t) (* i y)))
18.0ms
(* b (- (* c z) (* i a)))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0425552
11771485
25002485

prune243.0ms

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

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New771996
Fresh000
Picked101
Done000
Total781997

Merged error: 7.1b

Counts
97 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

3.5b
(* j (* c t))
4.1b
(* x (- (* y z) (* t a)))
4.9b
(* j (neg (* i y)))
6.1b
(* b (- (* c z) (* i a)))

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:
7.0ms
(* j (* c t))
6.0ms
(* x (- (* y z) (* t a)))
4.0ms
(* j (neg (* i y)))
6.0ms
(* b (- (* c z) (* i a)))

series49.0ms

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

simplify61.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0445484
12071419
25002419

prune213.0ms

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

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh31518
Picked101
Done000
Total10019119

Merged error: 5.1b

Counts
119 → 19

localize23.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* j (neg i)) y)
3.5b
(* j (* c t))
4.1b
(* x (- (* y z) (* t a)))
6.1b
(* b (- (* c z) (* i a)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
8×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:
5.0ms
(* (* j (neg i)) y)
4.0ms
(* j (* c t))
5.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* i a)))

series50.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0470477
12081407
25002407

prune206.0ms

Filtered
60 candidates to 97 candidates (-61.7%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New93497
Fresh21618
Picked101
Done000
Total9620116

Merged error: 4.8b

Counts
116 → 20

localize27.0ms

Local error

Found 4 expressions with local error:

3.5b
(* j (* c t))
3.9b
(* b (neg (* i a)))
4.1b
(* x (- (* y z) (* t a)))
5.3b
(* b (* c z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l*
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×pow-prod-down prod-exp cbrt-unprod
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ unswap-sqr
1×distribute-lft-neg-in neg-mul-1 flip3-- distribute-rgt-neg-in distribute-rgt-neg-out flip--
Counts
4 → 82
Calls
4 calls:
4.0ms
(* j (* c t))
5.0ms
(* b (neg (* i a)))
5.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* b (* c z))

series35.0ms

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

simplify58.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0399395
11853335
25001335

prune94.0ms

Filtered
62 candidates to 94 candidates (-51.6%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New92294
Fresh31619
Picked011
Done000
Total9519114

Merged error: 3.1b

Counts
114 → 19

regimes2.0s

Accuracy

12.6% (7.1b remaining)

Error of 11.2b against oracle of 4.1b and baseline of 12.3b

bsearch16.1s

Steps
ItersRangePoint
10
7.27577025273799e+50
4.9214990205978474e+67
7.377857682613694e+50
9
2.3104267361072067e-180
1.7114698232078977e-173
3.271194717212084e-179
9
-6.025452310731426e-155
-6.967246000270653e-160
-2.6984993074155277e-155

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09570
112070
212970
312970

end0.0ms

analyze2.0s

Algorithm
search

sample2.6s

Algorithm
intervals
Results
958.0ms11183×body80invalid
661.0ms8000×body80valid

Profiling

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