Details

Time bar (total: 2.6s)

sample18.0ms

Algorithm
intervals
Results
8.0ms342×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

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)))

rewrite27.0ms

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:
9.0ms
(* y (- x z))
12.0ms
(* t (* y (- x z)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- x z))
42.0ms
(* t (* y (- x z)))

simplify33.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0201242
1924211
25001211

prune102.0ms

Filtered
60 candidates to 32 candidates (53.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:
15.0ms
(* (* t y) (- x z))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* (* t y) (- x z))

simplify96.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0177134
1820111
24326111
35002111

prune58.0ms

Filtered
29 candidates to 16 candidates (55.2%)
Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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:
12.0ms
(* y (- x z))
13.0ms
(* t (* y (- x z)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* y (- x z))
42.0ms
(* t (* y (- x z)))

simplify33.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0201242
1924211
25001211

prune76.0ms

Filtered
60 candidates to 24 candidates (40.0%)
Pruning

12 alts after pruning (10 fresh and 2 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))
7.3b
(* t (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

rewrite250.0ms

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
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 → 95
Calls
4 calls:
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
239.0ms
(* t (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

series487.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- x z))
157.0ms
(cbrt (- x z))
144.0ms
(cbrt (- x z))
42.0ms
(* t (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05481023
11645884
25001810

prune278.0ms

Filtered
107 candidates to 77 candidates (72.0%)
Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

55.1% (2.9b remaining)

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

bsearch54.0ms

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
0226
1226

end0.0ms

sample505.0ms

Algorithm
intervals
Results
257.0ms10757×body80valid