Details

Time bar (total: 10.3s)

sample124.0ms

Algorithm
intervals
Results
54.0ms650×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune8.0ms

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: 11.0b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c t) (* i y))
4.5b
(* b (- (* c z) (* i a)))
4.5b
(* j (- (* c t) (* i y)))
5.8b
(* x (- (* y z) (* t a)))

rewrite22.0ms

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

series240.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* c t) (* i y))
66.0ms
(* b (- (* c z) (* i a)))
66.0ms
(* j (- (* c t) (* i y)))
67.0ms
(* x (- (* y z) (* t a)))

simplify56.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0424552
11770485
25001485

prune760.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New771996
Fresh000
Picked101
Done000
Total781997

Merged error: 8.4b

Counts
97 → 19

localize23.0ms

Local error

Found 4 expressions with local error:

4.5b
(* b (- (* c z) (* i a)))
5.2b
(* j (neg (* i y)))
5.4b
(* j (* c t))
5.8b
(* x (- (* y z) (* t a)))

rewrite22.0ms

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) (* i a)))
4.0ms
(* j (neg (* i y)))
4.0ms
(* j (* c t))
5.0ms
(* x (- (* y z) (* t a)))

series188.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* b (- (* c z) (* i a)))
32.0ms
(* j (neg (* i y)))
25.0ms
(* j (* c t))
69.0ms
(* x (- (* y z) (* t a)))

simplify58.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0445484
12071419
25001419

prune768.0ms

Filtered
100 candidates to 67 candidates (67.0%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh51318
Picked101
Done000
Total10217119

Merged error: 6.9b

Counts
119 → 17

localize23.0ms

Local error

Found 4 expressions with local error:

4.2b
(* (* j c) t)
4.5b
(* b (- (* c z) (* i a)))
5.2b
(* j (neg (* i y)))
5.8b
(* x (- (* y z) (* t a)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log associate-*r* add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
10×associate-*l*
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:
4.0ms
(* (* j c) t)
5.0ms
(* b (- (* c z) (* i a)))
4.0ms
(* j (neg (* i y)))
5.0ms
(* x (- (* y z) (* t a)))

series187.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* j c) t)
69.0ms
(* b (- (* c z) (* i a)))
27.0ms
(* j (neg (* i y)))
67.0ms
(* x (- (* y z) (* t a)))

simplify67.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0454485
12201420
25001420

prune778.0ms

Filtered
100 candidates to 67 candidates (67.0%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New946100
Fresh41216
Picked101
Done000
Total9918117

Merged error: 6.7b

Counts
117 → 18

localize25.0ms

Local error

Found 4 expressions with local error:

4.5b
(* j (- (* c t) (* i y)))
7.2b
(cbrt (- (* y z) (* t a)))
7.2b
(cbrt (- (* y z) (* t a)))
7.2b
(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)))

series405.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* j (- (* c t) (* i y)))
110.0ms
(cbrt (- (* y z) (* t a)))
111.0ms
(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
0313590
11064543
23800525
35001516

prune593.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New75075
Fresh01717
Picked011
Done000
Total751893

Merged error: 6.7b

Counts
93 → 18

regimes2.3s

Accuracy

50.5% (3.1b remaining)

Error of 9.2b against oracle of 6.1b and baseline of 12.4b

bsearch153.0ms

Steps
ItersRangePoint
6
8.712822435471378e+70
1.372255083938825e+72
8.884301811634471e+70
3
-6.257962911224785e+54
-5.155401048634353e+54
-6.129061819299807e+54

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06441
17241
27641
37641

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.5s18963×body80valid

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