Details

Time bar (total: 2.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms342×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
7.3b
(* t (* y (- x z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
8.0ms
(* y (- x z))
9.0ms
(* t (* y (- x z)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- x z))
46.0ms
(* t (* y (- x z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04021084
11572663
25001645

prune129.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*l*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/
1×expm1-log1p-u flip3-- associate-*r* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 24
Calls
1 calls:
8.0ms
(* (- x z) (* t y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (- x z) (* t y))

simplify69.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0152123
1525100
22534100
35001100

prune68.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
2.7b
(* (cbrt (- x z)) (* t y))
3.6b
(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*l/
30×pow1 add-exp-log flip3-- flip--
28×frac-times
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*l*
8×add-cube-cbrt associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*r* *-commutative
Counts
4 → 117
Calls
4 calls:
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
11.0ms
(* (cbrt (- x z)) (* t y))
20.0ms
(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

series625.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- x z))
143.0ms
(cbrt (- x z))
293.0ms
(* (cbrt (- x z)) (* t y))
44.0ms
(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05361330
116881146
250011081

prune373.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.9b
(* (* (- x z) t) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×associate-*r* associate-*l* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
6.0ms
(* (- x z) t)
8.0ms
(* (* (- x z) t) y)

series75.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- x z) t)
47.0ms
(* (* (- x z) t) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0194207
1867174
25002174

prune114.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes224.0ms

Accuracy

55% (2.9b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 6.5b

bsearch69.0ms

Steps
ItersRangePoint
9
5.071337583265334e+46
1.0797861218686208e+52
1.1333992022375297e+48
5
-6.431588045350569e+27
-2.3887817122542272e+27
-4.049647329143563e+27

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03516
13516

end0.0ms

sample568.0ms

Algorithm
intervals
Results
285.0ms10757×body80valid