Details

Time bar (total: 7.9s)

sample87.0ms

Algorithm
intervals
Results
49.0ms615×body80valid

simplify77.0ms

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: 15.0b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) (* t a))
5.7b
(* j (- (* c t) (* i y)))
5.7b
(* b (- (* c z) (* i a)))
7.6b
(* x (- (* y z) (* t a)))

rewrite27.0ms

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:
4.0ms
(- (* y z) (* t a))
6.0ms
(* j (- (* c t) (* i y)))
9.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* x (- (* y z) (* t a)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* y z) (* t a))
66.0ms
(* j (- (* c t) (* i y)))
67.0ms
(* b (- (* c z) (* i a)))
65.0ms
(* x (- (* y z) (* t a)))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0425552
11771485
25002485

prune610.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New742296
Fresh000
Picked101
Done000
Total752297

Merged error: 11.1b

Counts
97 → 22

localize27.0ms

Local error

Found 4 expressions with local error:

7.6b
(* x (- (* y z) (* t a)))
8.0b
(cbrt (- (* c t) (* i y)))
8.0b
(cbrt (- (* c t) (* i y)))
8.0b
(cbrt (- (* c t) (* i y)))

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
(* x (- (* y z) (* t a)))
4.0ms
(cbrt (- (* c t) (* i y)))
3.0ms
(cbrt (- (* c t) (* i y)))
4.0ms
(cbrt (- (* c t) (* i y)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* x (- (* y z) (* t a)))
115.0ms
(cbrt (- (* c t) (* i y)))
112.0ms
(cbrt (- (* c t) (* i y)))
116.0ms
(cbrt (- (* c t) (* i y)))

simplify102.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0315590
11061543
23732525
35001519

prune425.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New73275
Fresh02121
Picked101
Done000
Total742397

Merged error: 11.0b

Counts
97 → 23

localize27.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (cbrt j) (- (* c t) (* i y)))
3.5b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
5.7b
(* b (- (* c z) (* i a)))
7.6b
(* x (- (* y z) (* t a)))

rewrite35.0ms

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:
7.0ms
(* (cbrt j) (- (* c t) (* i y)))
12.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* x (- (* y z) (* t a)))

series514.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(* (cbrt j) (- (* c t) (* i y)))
101.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
67.0ms
(* b (- (* c z) (* i a)))
72.0ms
(* x (- (* y z) (* t a)))

simplify78.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0576966
12591762
25002699

prune487.0ms

Filtered
120 candidates to 74 candidates (61.7%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New1164120
Fresh12122
Picked101
Done000
Total11825143

Merged error: 9.6b

Counts
143 → 25

localize23.0ms

Local error

Found 4 expressions with local error:

3.9b
(* (- j) (* i y))
5.0b
(* t (* j c))
5.7b
(* b (- (* c z) (* i a)))
7.6b
(* x (- (* y z) (* t a)))

rewrite26.0ms

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

series191.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (- j) (* i y))
25.0ms
(* t (* j c))
69.0ms
(* b (- (* c z) (* i a)))
70.0ms
(* x (- (* y z) (* t a)))

simplify64.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0484497
12035427
25002427

prune326.0ms

Filtered
104 candidates to 68 candidates (65.4%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New1004104
Fresh32124
Picked101
Done000
Total10425129

Merged error: 7.5b

Counts
129 → 25

regimes1.3s

Accuracy

33.7% (4.1b remaining)

Error of 10.3b against oracle of 6.2b and baseline of 12.4b

bsearch228.0ms

Steps
ItersRangePoint
7
1.2628114683537507e-123
2.037558083500478e-121
4.863713714060401e-122
9
-3.0517824017082736e+32
-2.70047093378569e+27
-2.0141886942224848e+32

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07551
18551
29551
39551

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.5s19073×body80valid