Details

Time bar (total: 6.5s)

sample100.0ms

Algorithm
intervals
Results
53.0ms636×body80valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.8b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c z) (* t i))
4.3b
(* x (- (* y z) (* t a)))
4.9b
(* b (- (* c z) (* t i)))
5.5b
(* j (- (* c a) (* y i)))

rewrite21.0ms

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

series65.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(- (* c z) (* t i))
17.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* b (- (* c z) (* t i)))
18.0ms
(* j (- (* c a) (* y i)))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0422552
11762485
25001485

prune250.0ms

Filtered
63 candidates to 96 candidates (-52.4%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New742296
Fresh000
Picked101
Done000
Total752297

Merged error: 9.2b

Counts
97 → 22

localize21.0ms

Local error

Found 4 expressions with local error:

4.9b
(* b (- (* c z) (* t i)))
5.1b
(* x (* y z))
5.3b
(* x (neg (* t a)))
5.5b
(* j (- (* c a) (* y i)))

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) (* t i)))
4.0ms
(* x (* y z))
6.0ms
(* x (neg (* t a)))
5.0ms
(* j (- (* c a) (* y i)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* x (* y z))
6.0ms
(* x (neg (* t a)))
19.0ms
(* j (- (* c a) (* y i)))

simplify59.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0442484
12052419
25002419

prune206.0ms

Filtered
70 candidates to 100 candidates (-42.9%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh71421
Picked101
Done000
Total10418122

Merged error: 7.7b

Counts
122 → 18

localize27.0ms

Local error

Found 4 expressions with local error:

5.5b
(* j (- (* c a) (* y i)))
15.7b
(cbrt (* x (* y z)))
15.7b
(cbrt (* x (* y z)))
15.7b
(cbrt (* x (* y z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 51
Calls
4 calls:
5.0ms
(* j (- (* c a) (* y i)))
4.0ms
(cbrt (* x (* y z)))
4.0ms
(cbrt (* x (* y z)))
4.0ms
(cbrt (* x (* y z)))

series81.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* j (- (* c a) (* y i)))
20.0ms
(cbrt (* x (* y z)))
20.0ms
(cbrt (* x (* y z)))
23.0ms
(cbrt (* x (* y z)))

simplify83.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0244392
1865351
23440330
35002300

prune165.0ms

Filtered
44 candidates to 63 candidates (-43.2%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New63063
Fresh01717
Picked011
Done000
Total631881

Merged error: 7.7b

Counts
81 → 18

localize29.0ms

Local error

Found 4 expressions with local error:

5.5b
(* j (- (* c a) (* y i)))
6.5b
(cbrt (- (* c z) (* t i)))
6.5b
(cbrt (- (* c z) (* t i)))
6.5b
(cbrt (- (* c z) (* t i)))

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

series131.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* j (- (* c a) (* y i)))
37.0ms
(cbrt (- (* c z) (* t i)))
39.0ms
(cbrt (- (* c z) (* t i)))
36.0ms
(cbrt (- (* c z) (* t i)))

simplify104.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0311602
11066555
23834543
35001534

prune87.0ms

Filtered
59 candidates to 75 candidates (-27.1%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New72375
Fresh01616
Picked101
Done011
Total732093

Merged error: 7.7b

Counts
93 → 20

regimes1.9s

Accuracy

3.9% (5.5b remaining)

Error of 11.8b against oracle of 6.2b and baseline of 12.0b

bsearch125.0ms

Steps
ItersRangePoint
9
3.912078203778631e-230
8.937876808625118e-225
1.382201383889996e-226
9
-7.948757139923437e-255
-6.188357109441023e-260
-1.3554996076223915e-256

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06853
17653
27753
37753

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.6s19126×body80valid

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