Details

Time bar (total: 3.1s)

sample60.0ms

Algorithm
intervals
Results
39.0ms332×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z y))
5.4b
(* (- (* x y) (* z y)) t)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
associate-*r*
flip3-- distribute-rgt-out-- associate-*l/ flip--
sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
2.0ms
(- (* x y) (* z y))
9.0ms
(* (- (* x y) (* z y)) t)

series78.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- (* x y) (* z y))
43.0ms
(* (- (* x y) (* z y)) t)

simplify111.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0157205
1644173
23801169
35001169

prune101.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
5.4b
(* t (* y (- x z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
*-un-lft-identity
sub-neg associate-*r/ associate-*r* associate-*l*
add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
9.0ms
(* y (- x z))
13.0ms
(* t (* y (- x z)))

series77.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* y (- x z))
41.0ms
(* t (* y (- x z)))

simplify35.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0201242
1924211
25001211

prune83.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

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))
5.4b
(* t (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
58×associate-*r/
30×flip3-- flip--
28×frac-times
18×pow1 add-exp-log
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity associate-*l/
13×add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt
add-log-exp
pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
associate-*r* *-commutative
Counts
4 → 95
Calls
4 calls:
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
233.0ms
(* t (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

series483.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- x z))
162.0ms
(cbrt (- x z))
135.0ms
(cbrt (- x z))
43.0ms
(* t (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

simplify60.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05481023
11645884
25001810

prune284.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.2b
(* y (* (- x z) t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
associate-*l*
*-un-lft-identity
add-cube-cbrt
associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
flip3-- associate-*r/ *-commutative flip-- add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
10.0ms
(* (- x z) t)
13.0ms
(* y (* (- x z) t))

series66.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (- x z) t)
39.0ms
(* y (* (- x z) t))

simplify107.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0183193
1784160
24688160
35001160

prune79.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

61.9% (2.7b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 7.2b

bsearch61.0ms

Steps
ItersRangePoint
8
6.881494951335419e-24
2.5675937259375084e-20
1.9766678866402362e-21
6
-5.180455765418966e-81
-1.2100297264613528e-81
-5.111908146558357e-81

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0226
1226

end0.0ms

sample916.0ms

Algorithm
intervals
Results
651.0ms10558×body80valid