Details

Time bar (total: 7.8s)

sample88.0ms

Algorithm
intervals
Results
50.0ms610×body80valid

simplify81.0ms

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: 11.8b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
4.7b
(* j (- (* c a) (* y i)))
4.9b
(* x (- (* y z) (* t a)))
6.2b
(* b (- (* c z) (* t i)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
34×associate-*r/
19×flip3-- flip--
16×add-sqr-sqrt
12×frac-add
11×sub-neg
10×pow1 add-exp-log distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in add-cbrt-cube
9×associate-*r* associate-*l* add-log-exp
8×frac-sub
6×associate-+l+
4×associate-+r+ associate--l+
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×sum-log
1×+-commutative associate-+l- flip3-+ diff-log flip-+
Counts
4 → 107
Calls
4 calls:
11.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
6.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* t i)))

series746.0ms

Counts
4 → 12
Calls
4 calls:
545.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
66.0ms
(* j (- (* c a) (* y i)))
68.0ms
(* x (- (* y z) (* t a)))
67.0ms
(* b (- (* c z) (* t i)))

simplify40.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09611832
150011770

prune553.0ms

Filtered
119 candidates to 81 candidates (68.1%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New9722119
Fresh000
Picked101
Done000
Total9822120

Merged error: 4.3b

Counts
120 → 22

localize23.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
3.2b
(* (cbrt b) (- (* c z) (* t i)))
4.7b
(* j (- (* c a) (* y i)))
4.9b
(* x (- (* y z) (* t a)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1 add-exp-log
19×add-sqr-sqrt
15×add-cbrt-cube
14×distribute-rgt-in distribute-lft-in
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
10×sub-neg associate-*r/ associate-*r*
4×cbrt-prod flip3-- *-commutative flip-- add-log-exp unswap-sqr
Counts
4 → 108
Calls
4 calls:
12.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
6.0ms
(* (cbrt b) (- (* c z) (* t i)))
6.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
275.0ms
(* (cbrt b) (- (* c z) (* t i)))
69.0ms
(* j (- (* c a) (* y i)))
72.0ms
(* x (- (* y z) (* t a)))

simplify84.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0575966
12594762
25002699

prune450.0ms

Filtered
120 candidates to 74 candidates (61.7%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1182120
Fresh41721
Picked011
Done000
Total12220142

Merged error: 3.1b

Counts
142 → 20

localize21.0ms

Local error

Found 4 expressions with local error:

3.4b
(* z (* b c))
4.7b
(* j (- (* c a) (* y i)))
4.9b
(* x (- (* y z) (* t a)))
7.0b
(* (neg b) (* t i))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×associate-*l*
18×pow1 add-exp-log add-cbrt-cube
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-- flip-- unswap-sqr
1×distribute-lft-neg-out neg-mul-1
Counts
4 → 92
Calls
4 calls:
5.0ms
(* z (* b c))
5.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* (neg b) (* t i))

series187.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* z (* b c))
68.0ms
(* j (- (* c a) (* y i)))
63.0ms
(* x (- (* y z) (* t a)))
29.0ms
(* (neg b) (* t i))

simplify60.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0485497
12036427
25002427

prune591.0ms

Filtered
104 candidates to 68 candidates (65.4%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New1013104
Fresh01818
Picked101
Done101
Total10321124

Merged error: 2.9b

Counts
124 → 21

localize23.0ms

Local error

Found 4 expressions with local error:

3.4b
(* z (* b c))
4.7b
(* j (- (* c a) (* y i)))
4.9b
(* x (- (* y z) (* t a)))
5.7b
(* (* (neg b) t) i)

rewrite24.0ms

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×distribute-lft-neg-out flip3-- flip-- unswap-sqr
Counts
4 → 85
Calls
4 calls:
5.0ms
(* z (* b c))
6.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* (* (neg b) t) i)

series229.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* z (* b c))
67.0ms
(* j (- (* c a) (* y i)))
105.0ms
(* x (- (* y z) (* t a)))
31.0ms
(* (* (neg b) t) i)

simplify65.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0471476
12060406
25002406

prune263.0ms

Filtered
97 candidates to 59 candidates (60.8%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New96197
Fresh02020
Picked101
Done000
Total9721118

Merged error: 2.9b

Counts
118 → 21

regimes1.2s

Accuracy

53.2% (4.4b remaining)

Error of 7.6b against oracle of 3.2b and baseline of 12.5b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07061
17061

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s19178×body80valid

Profiling

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