Details

Time bar (total: 7.0s)

sample90.0ms

Algorithm
intervals
Results
50.0ms620×body80valid

simplify84.0ms

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: 15.8b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c t) (* i y))
6.5b
(* x (- (* y z) (* t a)))
7.3b
(* b (- (* c z) (* i a)))
7.3b
(* j (- (* c t) (* i y)))

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

series237.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* c t) (* i y))
67.0ms
(* x (- (* y z) (* t a)))
66.0ms
(* b (- (* c z) (* i a)))
68.0ms
(* j (- (* c t) (* i y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0424552
11770485
25001485

prune387.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New781896
Fresh000
Picked101
Done000
Total791897

Merged error: 11.1b

Counts
97 → 18

localize23.0ms

Local error

Found 4 expressions with local error:

4.6b
(* x (* y z))
5.5b
(* x (neg (* t a)))
7.3b
(* b (- (* c z) (* i a)))
7.3b
(* j (- (* c t) (* i y)))

rewrite24.0ms

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

series193.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* x (* y z))
28.0ms
(* x (neg (* t a)))
68.0ms
(* b (- (* c z) (* i a)))
69.0ms
(* j (- (* c t) (* i y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0444484
12062419
25001419

prune395.0ms

Filtered
100 candidates to 70 candidates (70.0%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh31417
Picked101
Done000
Total10018118

Merged error: 8.4b

Counts
118 → 18

localize27.0ms

Local error

Found 4 expressions with local error:

4.6b
(* x (* y z))
6.5b
(* (* x (neg t)) a)
7.3b
(* b (- (* c z) (* i a)))
7.3b
(* j (- (* c t) (* i y)))

rewrite25.0ms

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

series189.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* x (* y z))
30.0ms
(* (* x (neg t)) a)
65.0ms
(* b (- (* c z) (* i a)))
69.0ms
(* j (- (* c t) (* i y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0468477
12081407
25002407

prune368.0ms

Filtered
97 candidates to 64 candidates (66.0%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New93497
Fresh11617
Picked101
Done000
Total9520115

Merged error: 7.4b

Counts
115 → 20

localize31.0ms

Local error

Found 4 expressions with local error:

4.6b
(* x (* y z))
5.7b
(* (* x (neg t)) (* (cbrt a) (cbrt a)))
7.3b
(* b (- (* c z) (* i a)))
7.3b
(* j (- (* c t) (* i y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log
21×add-cbrt-cube
13×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
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
1×distribute-lft-neg-out distribute-rgt-neg-out
Counts
4 → 89
Calls
4 calls:
5.0ms
(* x (* y z))
10.0ms
(* (* x (neg t)) (* (cbrt a) (cbrt a)))
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* j (- (* c t) (* i y)))

series283.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* x (* y z))
122.0ms
(* (* x (neg t)) (* (cbrt a) (cbrt a)))
68.0ms
(* b (- (* c z) (* i a)))
69.0ms
(* j (- (* c t) (* i y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0523589
12255495
25001489

prune337.0ms

Filtered
101 candidates to 62 candidates (61.4%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New974101
Fresh01919
Picked101
Done000
Total9823121

Merged error: 7.4b

Counts
121 → 23

regimes1.2s

Accuracy

3.9% (6.8b remaining)

Error of 13.3b against oracle of 6.5b and baseline of 13.6b

bsearch236.0ms

Steps
ItersRangePoint
9
1.777421407863598e-173
1.0644682589604129e-165
5.106707645191475e-172
8
-1.3041720725939906e-99
-4.731274069544994e-104
-5.1327017224068516e-104

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06139
16939
27339
37339

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.5s19153×body80valid

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