Details

Time bar (total: 2.8s)

sample23.0ms

Algorithm
intervals
Results
8.0ms352×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
7.0b
(* t (* y (- x z)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
21.0ms
(* y (- x z))
31.0ms
(* t (* y (- x z)))

series68.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* y (- x z))
38.0ms
(* t (* y (- x z)))

simplify35.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0201242
1924211
25001211

prune98.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

6.1b
(* (* t y) (- x z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
32.0ms
(* (* t y) (- x z))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(* (* t y) (- x z))

simplify100.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0177134
1820111
24326111
35002111

prune57.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

6.1b
(* (* t y) (- x z))
7.2b
(cbrt (* (* t y) (- x z)))
7.2b
(cbrt (* (* t y) (- x z)))
7.2b
(cbrt (* (* t y) (- x z)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
7×add-sqr-sqrt *-un-lft-identity
6×cbrt-div
5×add-cube-cbrt associate-*r*
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 59
Calls
4 calls:
30.0ms
(* (* t y) (- x z))
16.0ms
(cbrt (* (* t y) (- x z)))
16.0ms
(cbrt (* (* t y) (- x z)))
18.0ms
(cbrt (* (* t y) (- x z)))

series365.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* t y) (- x z))
108.0ms
(cbrt (* (* t y) (- x z)))
109.0ms
(cbrt (* (* t y) (- x z)))
107.0ms
(cbrt (* (* t y) (- x z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0280449
11108399
25001390

prune211.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

6.1b
(* (* t y) (- x z))
7.2b
(cbrt (* (* t y) (- x z)))
7.2b
(cbrt (* (* t y) (- x z)))
11.8b
(cbrt (* t y))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
6×associate-*r/
5×add-cube-cbrt associate-*r*
4×cbrt-div add-log-exp
3×cbrt-prod flip3-- pow1/3 pow-prod-down prod-exp flip-- cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 57
Calls
4 calls:
29.0ms
(* (* t y) (- x z))
16.0ms
(cbrt (* (* t y) (- x z)))
18.0ms
(cbrt (* (* t y) (- x z)))
4.0ms
(cbrt (* t y))

series323.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* t y) (- x z))
109.0ms
(cbrt (* (* t y) (- x z)))
110.0ms
(cbrt (* (* t y) (- x z)))
63.0ms
(cbrt (* t y))

simplify39.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0319394
11196346
25001334

prune220.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes242.0ms

Accuracy

52.2% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 6.5b

bsearch59.0ms

Steps
ItersRangePoint
8
1.9444279652471671e-78
9.960247372682421e-76
9.863081147940308e-76
9
-3.645735621404743e-37
-1.1306482151352485e-43
-2.6503448830413084e-37

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0319
1399
2439
3439

end0.0ms

sample616.0ms

Algorithm
intervals
Results
245.0ms10693×body80valid