Details

Time bar (total: 7.6s)

sample112.0ms

Algorithm
intervals
Results
49.0ms597×body80valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune6.0ms

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: 10.5b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c z) (* i a))
4.1b
(* b (- (* c z) (* i a)))
4.3b
(* x (- (* y z) (* t a)))
5.1b
(* j (- (* c t) (* i y)))

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

series67.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* c z) (* i a))
21.0ms
(* b (- (* c z) (* i a)))
18.0ms
(* x (- (* y z) (* t a)))
19.0ms
(* j (- (* c t) (* i y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0425552
11771485
25002485

prune284.0ms

Filtered
96 candidates to 63 candidates (34.4%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New752196
Fresh000
Picked101
Done000
Total762197

Merged error: 6.9b

Counts
97 → 21

localize46.0ms

Local error

Found 4 expressions with local error:

5.1b
(* j (- (* c t) (* i y)))
5.9b
(cbrt (- (* y z) (* t a)))
5.9b
(cbrt (- (* y z) (* t a)))
5.9b
(cbrt (- (* y z) (* t a)))

rewrite32.0ms

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:
10.0ms
(* j (- (* c t) (* i y)))
6.0ms
(cbrt (- (* y z) (* t a)))
8.0ms
(cbrt (- (* y z) (* t a)))
6.0ms
(cbrt (- (* y z) (* t a)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* j (- (* c t) (* i y)))
40.0ms
(cbrt (- (* y z) (* t a)))
44.0ms
(cbrt (- (* y z) (* t a)))
69.0ms
(cbrt (- (* y z) (* t a)))

simplify108.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0311602
11081555
23857543
35001534

prune220.0ms

Filtered
75 candidates to 59 candidates (21.3%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New74175
Fresh11920
Picked011
Done000
Total752196

Merged error: 6.9b

Counts
96 → 21

localize29.0ms

Local error

Found 4 expressions with local error:

5.9b
(cbrt (- (* y z) (* t a)))
5.9b
(cbrt (- (* y z) (* t a)))
5.9b
(cbrt (- (* y z) (* t a)))
5.9b
(cbrt (- (* y z) (* t a)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))

series148.0ms

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

simplify122.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (115.0ms)

IterNodesCost
0179592
1516556
21566540
34203528
45002520

prune237.0ms

Filtered
64 candidates to 56 candidates (12.5%)
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh01919
Picked011
Done011
Total642185

Merged error: 6.9b

Counts
85 → 21

localize23.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (cbrt x) (- (* y z) (* t a)))
2.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.1b
(* b (- (* c z) (* i a)))
5.1b
(* j (- (* c t) (* i y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1 add-exp-log
19×add-sqr-sqrt
15×add-cbrt-cube
14×distribute-rgt-in distribute-lft-in
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
10×sub-neg associate-*r/ associate-*r*
4×cbrt-prod flip3-- *-commutative flip-- add-log-exp unswap-sqr
Counts
4 → 108
Calls
4 calls:
7.0ms
(* (cbrt x) (- (* y z) (* t a)))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
5.0ms
(* b (- (* c z) (* i a)))
5.0ms
(* j (- (* c t) (* i y)))

series127.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (cbrt x) (- (* y z) (* t a)))
23.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
20.0ms
(* b (- (* c z) (* i a)))
18.0ms
(* j (- (* c t) (* i y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0591987
12488780
25003717

prune101.0ms

Filtered
120 candidates to 71 candidates (40.8%)
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New1164120
Fresh01818
Picked101
Done022
Total11724141

Merged error: 6.6b

Counts
141 → 24

regimes2.2s

Accuracy

0% (4.5b remaining)

Error of 12.8b against oracle of 8.3b and baseline of 12.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03725
13725

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.6s19248×body80valid

Profiling

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