Details

Time bar (total: 3.4s)

sample20.0ms

Algorithm
intervals
Results
8.0ms346×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 7.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.8b
(- (* x y) (* z y))
6.8b
(* (- (* x y) (* z y)) t)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×flip3-- distribute-rgt-out-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
3.0ms
(- (* x y) (* z y))
6.0ms
(* (- (* x y) (* z y)) t)

series80.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- (* x y) (* z y))
47.0ms
(* (- (* x y) (* z y)) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0157205
1644173
23801169
35001169

prune90.0ms

Filtered
40 candidates to 31 candidates (77.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New31940
Fresh000
Picked011
Done000
Total311041

Merged error: 0.0b

Counts
41 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.4b
(* y (* (- x z) t))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
6.0ms
(* (- x z) t)
7.0ms
(* y (* (- x z) t))

series67.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- x z) t)
37.0ms
(* y (* (- x z) t))

simplify103.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0183193
1784160
24688160
35001160

prune80.0ms

Filtered
48 candidates to 33 candidates (68.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New46248
Fresh268
Picked011
Done011
Total481058

Merged error: 0.0b

Counts
58 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
6.4b
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
32×associate-*l/
30×flip3-- flip--
28×frac-times
22×pow1 add-exp-log
16×add-cbrt-cube
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt
4×add-log-exp
3×pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
1×associate-*r* *-commutative
Counts
4 → 98
Calls
4 calls:
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
23.0ms
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))

series511.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (- x z))
181.0ms
(cbrt (- x z))
143.0ms
(cbrt (- x z))
38.0ms
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))

simplify68.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05721068
11852908
25001825

prune258.0ms

Filtered
110 candidates to 77 candidates (70.0%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1082110
Fresh077
Picked011
Done022
Total10812120

Merged error: 0.0b

Counts
120 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

6.4b
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))
7.2b
(cbrt (* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t))))
7.2b
(cbrt (* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t))))
7.2b
(cbrt (* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
294×cbrt-div
136×associate-*r/
128×associate-*l/
112×frac-times
108×flip3-- flip--
22×pow1 add-exp-log
16×add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 158
Calls
4 calls:
21.0ms
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))
22.0ms
(cbrt (* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t))))
20.0ms
(cbrt (* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t))))
19.0ms
(cbrt (* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t))))

series349.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))
104.0ms
(cbrt (* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t))))
102.0ms
(cbrt (* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t))))
107.0ms
(cbrt (* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t))))

simplify71.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
06273225
119733011
250022841

prune470.0ms

Filtered
170 candidates to 91 candidates (53.5%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1700170
Fresh088
Picked011
Done033
Total17012182

Merged error: 0.0b

Counts
182 → 12

regimes433.0ms

Accuracy

92.8% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 7.3b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
03129
13429
24019
34319
44919
56019
66719
76819
86819

end0.0ms

sample524.0ms

Algorithm
intervals
Results
269.0ms10613×body80valid