Details

Time bar (total: 7.5s)

sample85.0ms

Algorithm
intervals
Results
50.0ms617×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c t) (* i y))
5.1b
(* b (- (* c z) (* i a)))
5.8b
(* x (- (* y z) (* t a)))
6.1b
(* j (- (* c t) (* i y)))

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

series234.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* c t) (* i y))
67.0ms
(* b (- (* c z) (* i a)))
68.0ms
(* x (- (* y z) (* t a)))
64.0ms
(* j (- (* c t) (* i y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0424552
11770485
25001485

prune405.0ms

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: 8.2b

Counts
97 → 22

localize26.0ms

Local error

Found 4 expressions with local error:

5.2b
(* b (* c z))
5.8b
(* x (- (* y z) (* t a)))
6.1b
(* j (- (* c t) (* i y)))
6.4b
(* b (- (* i a)))

rewrite23.0ms

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

series186.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* b (* c z))
68.0ms
(* x (- (* y z) (* t a)))
70.0ms
(* j (- (* c t) (* i y)))
24.0ms
(* b (- (* i a)))

simplify60.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0445484
12066419
25001419

prune402.0ms

Filtered
100 candidates to 67 candidates (67.0%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New973100
Fresh21921
Picked101
Done000
Total10022122

Merged error: 6.5b

Counts
122 → 22

localize24.0ms

Local error

Found 4 expressions with local error:

6.1b
(* j (- (* c t) (* i y)))
7.4b
(cbrt (- (* y z) (* t a)))
7.4b
(cbrt (- (* y z) (* t a)))
7.4b
(cbrt (- (* y z) (* t a)))

rewrite17.0ms

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:
5.0ms
(* j (- (* c t) (* i y)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))

series620.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(* j (- (* c t) (* i y)))
118.0ms
(cbrt (- (* y z) (* t a)))
116.0ms
(cbrt (- (* y z) (* t a)))
120.0ms
(cbrt (- (* y z) (* t a)))

simplify106.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0313590
11064543
23738525
35001519

prune398.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New74175
Fresh02121
Picked101
Done000
Total752297

Merged error: 6.5b

Counts
97 → 22

localize24.0ms

Local error

Found 4 expressions with local error:

5.8b
(* x (- (* y z) (* t a)))
7.7b
(cbrt (- (* c t) (* i y)))
7.7b
(cbrt (- (* c t) (* i y)))
7.7b
(cbrt (- (* c t) (* i y)))

rewrite17.0ms

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)))
3.0ms
(cbrt (- (* c t) (* i y)))
3.0ms
(cbrt (- (* c t) (* i y)))
3.0ms
(cbrt (- (* c t) (* i y)))

series424.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* x (- (* y z) (* t a)))
117.0ms
(cbrt (- (* c t) (* i y)))
122.0ms
(cbrt (- (* c t) (* i y)))
115.0ms
(cbrt (- (* c t) (* i y)))

simplify102.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0315590
11061543
23732525
35001519

prune329.0ms

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: 6.5b

Counts
97 → 23

regimes1.2s

Accuracy

-2.9% (6.2b remaining)

Error of 12.4b against oracle of 6.2b and baseline of 12.3b

bsearch234.0ms

Steps
ItersRangePoint
10
4.0496517282965904e-166
2.254554353617913e-154
4.2772815308881375e-162
9
-9.320564552198614e-126
-9.909508285526882e-135
-7.137957825260326e-134

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07244
18644
28744
38744

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s19172×body80valid