Details

Time bar (total: 7.4s)

sample84.0ms

Algorithm
intervals
Results
47.0ms627×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: 12.3b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c z) (* i a))
4.9b
(* x (- (* y z) (* t a)))
5.0b
(* j (- (* c t) (* i y)))
5.5b
(* b (- (* c z) (* i a)))

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) (* i a))
6.0ms
(* x (- (* y z) (* t a)))
8.0ms
(* j (- (* c t) (* i y)))
6.0ms
(* b (- (* c z) (* i a)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* c z) (* i a))
69.0ms
(* x (- (* y z) (* t a)))
84.0ms
(* j (- (* c t) (* i y)))
64.0ms
(* b (- (* c z) (* i a)))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0425552
11771485
25002485

prune404.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New752196
Fresh000
Picked101
Done000
Total762197

Merged error: 9.3b

Counts
97 → 21

localize27.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (cbrt j) (- (* c t) (* i y)))
3.5b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
4.9b
(* x (- (* y z) (* t a)))
5.5b
(* b (- (* c z) (* i 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:
6.0ms
(* (cbrt j) (- (* c t) (* i y)))
11.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* i a)))

series710.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(* (cbrt j) (- (* c t) (* i y)))
101.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
268.0ms
(* x (- (* y z) (* t a)))
71.0ms
(* b (- (* c z) (* i a)))

simplify81.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0576966
12591762
25002699

prune473.0ms

Filtered
120 candidates to 74 candidates (61.7%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New1155120
Fresh11920
Picked101
Done000
Total11724141

Merged error: 7.3b

Counts
141 → 24

localize21.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (neg j) (* i y))
4.9b
(* x (- (* y z) (* t a)))
5.5b
(* b (- (* c z) (* i a)))
6.5b
(* t (* j c))

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

series190.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (neg j) (* i y))
68.0ms
(* x (- (* y z) (* t a)))
64.0ms
(* b (- (* c z) (* i a)))
29.0ms
(* t (* j c))

simplify59.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0484497
12035427
25001427

prune412.0ms

Filtered
104 candidates to 68 candidates (65.4%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New995104
Fresh51823
Picked101
Done000
Total10523128

Merged error: 6.0b

Counts
128 → 23

localize21.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (neg j) (* i y))
3.8b
(* (* t j) c)
4.9b
(* x (- (* y z) (* t a)))
5.5b
(* b (- (* c z) (* i a)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
17×associate-*l*
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×associate-*r*
8×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
(* (neg j) (* i y))
5.0ms
(* (* t j) c)
6.0ms
(* x (- (* y z) (* t a)))
7.0ms
(* b (- (* c z) (* i a)))

series191.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (neg j) (* i y))
26.0ms
(* (* t j) c)
70.0ms
(* x (- (* y z) (* t a)))
68.0ms
(* b (- (* c z) (* i a)))

simplify65.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0493498
12193428
25001428

prune323.0ms

Filtered
104 candidates to 69 candidates (66.3%)
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh02222
Picked011
Done000
Total10324127

Merged error: 6.0b

Counts
127 → 24

regimes1.3s

Accuracy

49.5% (3.4b remaining)

Error of 9.2b against oracle of 5.8b and baseline of 12.4b

bsearch145.0ms

Steps
ItersRangePoint
5
2.4964924700308687e-09
8.116157559710162e-09
6.052643056063996e-09
5
-3.438282235313735e+28
-1.5613905507783843e+28
-3.402404029116648e+28

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06441
17241
27641
37641

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.4s19120×body80valid

Profiling

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