Details

Time bar (total: 7.4s)

sample93.0ms

Algorithm
intervals
Results
57.0ms629×body80valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.0b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* y z) (* t a))
4.2b
(* x (- (* y z) (* t a)))
5.1b
(* j (- (* c a) (* y i)))
5.3b
(* b (- (* c z) (* t 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
(* x (- (* y z) (* t a)))
6.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* b (- (* c z) (* t i)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* y z) (* t a))
89.0ms
(* x (- (* y z) (* t a)))
64.0ms
(* j (- (* c a) (* y i)))
65.0ms
(* b (- (* c z) (* t i)))

simplify58.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0423552
11763485
25002485

prune353.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New762096
Fresh000
Picked101
Done000
Total772097

Merged error: 8.1b

Counts
97 → 20

localize26.0ms

Local error

Found 4 expressions with local error:

5.1b
(* j (- (* c a) (* y i)))
5.1b
(* j (- (* c a) (* y i)))
5.1b
(* j (- (* c a) (* y i)))
5.3b
(* b (- (* c z) (* t i)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
12×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
8×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
4×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
4 → 96
Calls
4 calls:
6.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* b (- (* c z) (* t i)))

series258.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* j (- (* c a) (* y i)))
64.0ms
(* j (- (* c a) (* y i)))
64.0ms
(* j (- (* c a) (* y i)))
65.0ms
(* b (- (* c z) (* t i)))

simplify126.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0272632
11129552
24586552
35001552

prune416.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New1071108
Fresh01919
Picked101
Done000
Total10820128

Merged error: 8.1b

Counts
128 → 20

localize27.0ms

Local error

Found 4 expressions with local error:

5.1b
(* j (- (* c a) (* y i)))
5.3b
(* b (- (* c z) (* t i)))
5.3b
(* b (- (* c z) (* t i)))
5.3b
(* b (- (* c z) (* t i)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
12×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
8×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
4×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
4 → 96
Calls
4 calls:
6.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* b (- (* c z) (* t i)))
8.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* b (- (* c z) (* t i)))

series278.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* j (- (* c a) (* y i)))
64.0ms
(* b (- (* c z) (* t i)))
65.0ms
(* b (- (* c z) (* t i)))
63.0ms
(* b (- (* c z) (* t i)))

simplify142.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0272632
11129552
24586552
35001552

prune429.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New1071108
Fresh01919
Picked101
Done000
Total10820128

Merged error: 8.1b

Counts
128 → 20

localize32.0ms

Local error

Found 4 expressions with local error:

5.3b
(* b (- (* c z) (* t i)))
5.8b
(cbrt (- (* y z) (* t a)))
5.8b
(cbrt (- (* y z) (* t a)))
5.8b
(cbrt (- (* y z) (* t a)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
6.0ms
(* b (- (* c z) (* t i)))
3.0ms
(cbrt (- (* y z) (* t a)))
4.0ms
(cbrt (- (* y z) (* t a)))
4.0ms
(cbrt (- (* y z) (* t a)))

series399.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* b (- (* c z) (* t i)))
110.0ms
(cbrt (- (* y z) (* t a)))
110.0ms
(cbrt (- (* y z) (* t a)))
112.0ms
(cbrt (- (* y z) (* t a)))

simplify100.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0311590
11052543
23785525
35001516

prune327.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New73275
Fresh11819
Picked101
Done000
Total752095

Merged error: 8.1b

Counts
95 → 20

regimes995.0ms

Accuracy

7.5% (3.4b remaining)

Error of 11.4b against oracle of 8.0b and baseline of 11.7b

bsearch248.0ms

Steps
ItersRangePoint
9
3.632670114569353e-271
1.9567732849771355e-262
1.6287480137509676e-268
11
-8.943720524848805e-249
-2.6904442652514576e-274
-1.3220054897602848e-262

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06159
16159

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.7s19026×body80valid

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