Details

Time bar (total: 7.2s)

sample90.0ms

Algorithm
intervals
Results
56.0ms572×body80valid

simplify82.0ms

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: 13.6b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* y z) (* t a))
5.0b
(* j (- (* c t) (* i y)))
6.0b
(* x (- (* y z) (* t a)))
6.9b
(* b (- (* c z) (* i a)))

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

series244.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* y z) (* t a))
66.0ms
(* j (- (* c t) (* i y)))
70.0ms
(* x (- (* y z) (* t a)))
69.0ms
(* b (- (* c z) (* i a)))

simplify50.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0425552
11771485
25002485

prune396.0ms

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: 9.4b

Counts
97 → 22

localize25.0ms

Local error

Found 4 expressions with local error:

4.2b
(* j (* c t))
4.5b
(* j (neg (* i y)))
6.0b
(* x (- (* y z) (* t a)))
6.9b
(* b (- (* c z) (* i a)))

rewrite26.0ms

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

series191.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* j (* c t))
28.0ms
(* j (neg (* i y)))
70.0ms
(* x (- (* y z) (* t a)))
65.0ms
(* b (- (* c z) (* i a)))

simplify58.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0445484
12071419
25002419

prune400.0ms

Filtered
100 candidates to 67 candidates (67.0%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New973100
Fresh51621
Picked101
Done000
Total10319122

Merged error: 7.2b

Counts
122 → 19

localize32.0ms

Local error

Found 4 expressions with local error:

4.2b
(* j (* c t))
4.5b
(* (* j (neg i)) y)
6.0b
(* x (- (* y z) (* t a)))
6.9b
(* b (- (* c z) (* i a)))

rewrite44.0ms

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:
9.0ms
(* j (* c t))
10.0ms
(* (* j (neg i)) y)
11.0ms
(* x (- (* y z) (* t a)))
11.0ms
(* b (- (* c z) (* i a)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* j (* c t))
31.0ms
(* (* j (neg i)) y)
65.0ms
(* x (- (* y z) (* t a)))
74.0ms
(* b (- (* c z) (* i a)))

simplify58.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0470477
12081407
25002407

prune363.0ms

Filtered
97 candidates to 60 candidates (61.9%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New95297
Fresh01818
Picked101
Done000
Total9620116

Merged error: 7.0b

Counts
116 → 20

localize28.0ms

Local error

Found 4 expressions with local error:

6.9b
(* b (- (* c z) (* i a)))
6.9b
(cbrt (- (* y z) (* t a)))
6.9b
(cbrt (- (* y z) (* t a)))
6.9b
(cbrt (- (* y z) (* t a)))

rewrite20.0ms

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
(* b (- (* c z) (* i a)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))
6.0ms
(cbrt (- (* y z) (* t a)))

series423.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* b (- (* c z) (* i a)))
119.0ms
(cbrt (- (* y z) (* t a)))
117.0ms
(cbrt (- (* y z) (* t a)))
116.0ms
(cbrt (- (* y z) (* t a)))

simplify99.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0312590
11053543
23784525
35001516

prune332.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New74175
Fresh01919
Picked101
Done000
Total752095

Merged error: 7.0b

Counts
95 → 20

regimes1.1s

Accuracy

1.6% (6.4b remaining)

Error of 12.0b against oracle of 5.6b and baseline of 12.1b

bsearch213.0ms

Steps
ItersRangePoint
9
3.7741675180679907e-131
4.300110525143124e-124
1.319020696158677e-127
6
-1.817683016710592e-291
-3.3758498754955346e-292
-6.34823290354691e-292

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07844
110244
211044
311044

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.8s18928×body80valid

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