Details

Time bar (total: 7.3s)

sample113.0ms

Algorithm
intervals
Results
54.0ms630×body80valid

simplify79.0ms

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: 12.4b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c t) (* i y))
4.2b
(* x (- (* y z) (* t a)))
5.2b
(* j (- (* c t) (* i y)))
5.7b
(* b (- (* c z) (* i 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))
6.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* j (- (* c t) (* i y)))
6.0ms
(* b (- (* c z) (* i a)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* c t) (* i y))
17.0ms
(* x (- (* y z) (* t a)))
17.0ms
(* j (- (* c t) (* i y)))
20.0ms
(* b (- (* c z) (* i a)))

simplify48.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0424552
11770485
25001485

prune233.0ms

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

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New771996
Fresh000
Picked101
Done000
Total781997

Merged error: 7.4b

Counts
97 → 19

localize29.0ms

Local error

Found 4 expressions with local error:

5.7b
(* b (- (* c z) (* i a)))
6.1b
(cbrt (* j (- (* c t) (* i y))))
6.1b
(cbrt (* j (- (* c t) (* i y))))
6.1b
(cbrt (* j (- (* c t) (* i y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
5.0ms
(* b (- (* c z) (* i a)))
4.0ms
(cbrt (* j (- (* c t) (* i y))))
5.0ms
(cbrt (* j (- (* c t) (* i y))))
4.0ms
(cbrt (* j (- (* c t) (* i y))))

series139.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* b (- (* c z) (* i a)))
39.0ms
(cbrt (* j (- (* c t) (* i y))))
41.0ms
(cbrt (* j (- (* c t) (* i y))))
40.0ms
(cbrt (* j (- (* c t) (* i y))))

simplify106.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0310554
11110501
24336492
35002486

prune225.0ms

Filtered
56 candidates to 69 candidates (-23.2%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New65469
Fresh11718
Picked101
Done000
Total672188

Merged error: 7.4b

Counts
88 → 21

localize33.0ms

Local error

Found 4 expressions with local error:

5.7b
(* b (- (* c z) (* i a)))
6.1b
(cbrt (* j (- (* c t) (* i y))))
6.1b
(cbrt (* j (- (* c t) (* i y))))
6.2b
(cbrt (- (* c t) (* i y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div associate-*r/ add-cbrt-cube
5×cbrt-prod
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 59
Calls
4 calls:
6.0ms
(* b (- (* c z) (* i a)))
4.0ms
(cbrt (* j (- (* c t) (* i y))))
4.0ms
(cbrt (* j (- (* c t) (* i y))))
3.0ms
(cbrt (- (* c t) (* i y)))

series137.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* b (- (* c z) (* i a)))
41.0ms
(cbrt (* j (- (* c t) (* i y))))
42.0ms
(cbrt (* j (- (* c t) (* i y))))
36.0ms
(cbrt (- (* c t) (* i y)))

simplify116.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0385570
11297519
24926509
35001508

prune225.0ms

Filtered
57 candidates to 71 candidates (-24.6%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New69271
Fresh11920
Picked101
Done000
Total712192

Merged error: 7.4b

Counts
92 → 21

localize26.0ms

Local error

Found 4 expressions with local error:

5.7b
(* b (- (* c z) (* i a)))
6.0b
(cbrt (- (* y z) (* t a)))
6.0b
(cbrt (- (* y z) (* t a)))
6.0b
(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
(* b (- (* c z) (* i a)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))

series125.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* b (- (* c z) (* i a)))
37.0ms
(cbrt (- (* y z) (* t a)))
35.0ms
(cbrt (- (* y z) (* t a)))
35.0ms
(cbrt (- (* y z) (* t a)))

simplify98.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0310602
11070555
23841543
35001534

prune90.0ms

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

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New72375
Fresh11920
Picked101
Done000
Total742296

Merged error: 7.4b

Counts
96 → 22

regimes2.1s

Accuracy

5.4% (3.8b remaining)

Error of 12.5b against oracle of 8.7b and baseline of 12.7b

bsearch90.0ms

Steps
ItersRangePoint
7
3.879093697986624e-201
2.909126446749254e-199
1.0252299889626052e-199
7
-2.778341758208646e-170
-1.3861416063812812e-171
-9.682836059843291e-171

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06271
16871
26871

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.5s19117×body80valid

Profiling

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