Details

Time bar (total: 10.9s)

sample110.0ms

Algorithm
intervals
Results
46.0ms598×body80valid

simplify85.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.5b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* c a) (* y i))
5.0b
(* b (- (* c z) (* t i)))
5.6b
(* j (- (* c a) (* y i)))
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 a) (* y i))
6.0ms
(* b (- (* c z) (* t i)))
5.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))

series274.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* c a) (* y i))
76.0ms
(* b (- (* c z) (* t i)))
77.0ms
(* j (- (* c a) (* y i)))
76.0ms
(* x (- (* y z) (* t a)))

simplify50.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0423552
11763485
25002485

prune575.0ms

Filtered
96 candidates to 63 candidates (34.4%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New771996
Fresh000
Picked101
Done000
Total781997

Merged error: 7.9b

Counts
97 → 19

localize26.0ms

Local error

Found 4 expressions with local error:

5.6b
(* j (- (* c a) (* y i)))
7.0b
(cbrt (- (* y z) (* t a)))
7.0b
(cbrt (- (* y z) (* t a)))
7.0b
(cbrt (- (* y z) (* t a)))

rewrite16.0ms

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 (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))

series449.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* j (- (* c a) (* y i)))
122.0ms
(cbrt (- (* y z) (* t a)))
127.0ms
(cbrt (- (* y z) (* t a)))
124.0ms
(cbrt (- (* y z) (* t a)))

simplify100.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0312590
11056543
23795525
35002516

prune656.0ms

Filtered
75 candidates to 59 candidates (21.3%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New70575
Fresh11718
Picked101
Done000
Total722294

Merged error: 7.9b

Counts
94 → 22

localize29.0ms

Local error

Found 4 expressions with local error:

5.7b
(cbrt (* b (- (* c z) (* t i))))
5.7b
(cbrt (* b (- (* c z) (* t i))))
5.7b
(cbrt (* b (- (* c z) (* t i))))
5.8b
(* x (- (* y z) (* t a)))

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:
4.0ms
(cbrt (* b (- (* c z) (* t i))))
4.0ms
(cbrt (* b (- (* c z) (* t i))))
4.0ms
(cbrt (* b (- (* c z) (* t i))))
6.0ms
(* x (- (* y z) (* t a)))

series528.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (* b (- (* c z) (* t i))))
150.0ms
(cbrt (* b (- (* c z) (* t i))))
149.0ms
(cbrt (* b (- (* c z) (* t i))))
79.0ms
(* x (- (* y z) (* t a)))

simplify102.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0314542
11106489
24138480
35001477

prune601.0ms

Filtered
69 candidates to 56 candidates (18.8%)
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh02121
Picked011
Done000
Total682391

Merged error: 7.9b

Counts
91 → 23

localize24.0ms

Local error

Found 4 expressions with local error:

5.8b
(* x (- (* y z) (* t a)))
6.6b
(cbrt (* x (- (* y z) (* t a))))
6.6b
(cbrt (* x (- (* y z) (* t a))))
6.6b
(cbrt (* x (- (* y z) (* t a))))

rewrite22.0ms

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:
8.0ms
(* x (- (* y z) (* t a)))
4.0ms
(cbrt (* x (- (* y z) (* t a))))
4.0ms
(cbrt (* x (- (* y z) (* t a))))
4.0ms
(cbrt (* x (- (* y z) (* t a))))

series542.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* x (- (* y z) (* t a)))
164.0ms
(cbrt (* x (- (* y z) (* t a))))
151.0ms
(cbrt (* x (- (* y z) (* t a))))
144.0ms
(cbrt (* x (- (* y z) (* t a))))

simplify95.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0257542
1923489
23487480
35002477

prune445.0ms

Filtered
69 candidates to 56 candidates (18.8%)
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New68169
Fresh12021
Picked011
Done011
Total692392

Merged error: 7.9b

Counts
92 → 23

regimes2.8s

Accuracy

0% (3.8b remaining)

Error of 12.1b against oracle of 8.4b and baseline of 12.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04228
14228

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.5s19237×body80valid

Profiling

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