Details

Time bar (total: 4.0s)

sample37.0ms

Algorithm
intervals
Results
18.0ms359×body80valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0358
1937
22607
35657
47627
59847
610217
711867
815527
921127
1021127

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.0b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* a 27.0) b)
0.3b
(- (* x 2.0) (* (* (* y 9.0) z) t))
0.4b
(* (* y 9.0) z)
4.8b
(* (* (* y 9.0) z) t)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*r*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 79
Calls
4 calls:
5.0ms
(* (* a 27.0) b)
4.0ms
(- (* x 2.0) (* (* (* y 9.0) z) t))
5.0ms
(* (* y 9.0) z)
7.0ms
(* (* (* y 9.0) z) t)

series151.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* a 27.0) b)
77.0ms
(- (* x 2.0) (* (* (* y 9.0) z) t))
19.0ms
(* (* y 9.0) z)
32.0ms
(* (* (* y 9.0) z) t)

simplify73.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0371417
11863351
25002351

prune253.0ms

Filtered
91 candidates to 58 candidates (63.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New87491
Fresh011
Picked101
Done000
Total88593

Merged error: 0.3b

Counts
93 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (* t (* z y)))
0.2b
(* (* a 27.0) b)
0.3b
(- (* 2.0 x) (* 9.0 (* t (* z y))))
4.9b
(* t (* z y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
6×add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×*-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 79
Calls
4 calls:
7.0ms
(* 9.0 (* t (* z y)))
5.0ms
(* (* a 27.0) b)
4.0ms
(- (* 2.0 x) (* 9.0 (* t (* z y))))
6.0ms
(* t (* z y))

series162.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 9.0 (* t (* z y)))
21.0ms
(* (* a 27.0) b)
81.0ms
(- (* 2.0 x) (* 9.0 (* t (* z y))))
29.0ms
(* t (* z y))

simplify65.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0346413
11526347
25001347

prune268.0ms

Filtered
91 candidates to 60 candidates (65.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New88391
Fresh224
Picked101
Done000
Total91596

Merged error: 0.3b

Counts
96 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
0.2b
(* (* a 27.0) b)
0.3b
(- (* 2.0 x) (* (* 9.0 t) (* z y)))
5.0b
(* (* 9.0 t) (* z y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod add-log-exp
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×associate-+l+ fma-def
2×sub-neg diff-log associate-*l* prod-diff sum-log *-commutative
1×+-commutative associate-+l- flip3-- flip3-+ fma-neg flip-- flip-+
Counts
4 → 81
Calls
4 calls:
7.0ms
(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
9.0ms
(* (* a 27.0) b)
4.0ms
(- (* 2.0 x) (* (* 9.0 t) (* z y)))
7.0ms
(* (* 9.0 t) (* z y))

series306.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
22.0ms
(* (* a 27.0) b)
82.0ms
(- (* 2.0 x) (* (* 9.0 t) (* z y)))
32.0ms
(* (* 9.0 t) (* z y))

simplify82.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0413563
12016495
25002493

prune271.0ms

Filtered
93 candidates to 63 candidates (67.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New93093
Fresh044
Picked011
Done000
Total93598

Merged error: 0.3b

Counts
98 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (* t (* z y)))
0.3b
(* 27.0 (* a b))
0.3b
(- (* 2.0 x) (* 9.0 (* t (* z y))))
4.9b
(* t (* z y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*l*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 79
Calls
4 calls:
7.0ms
(* 9.0 (* t (* z y)))
5.0ms
(* 27.0 (* a b))
4.0ms
(- (* 2.0 x) (* 9.0 (* t (* z y))))
6.0ms
(* t (* z y))

series167.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* 9.0 (* t (* z y)))
22.0ms
(* 27.0 (* a b))
82.0ms
(- (* 2.0 x) (* 9.0 (* t (* z y))))
29.0ms
(* t (* z y))

simplify57.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0332412
11343346
25001346

prune244.0ms

Filtered
91 candidates to 58 candidates (63.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New89291
Fresh123
Picked101
Done011
Total91596

Merged error: 0.3b

Counts
96 → 5

regimes578.0ms

Accuracy

79.2% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.8b

bsearch140.0ms

Steps
ItersRangePoint
7
2.588128146881621e+78
2.8367420007352706e+80
2.6373343599119812e+78
7
-2.087946864465605e-48
-1.516702988500437e-50
-2.049955631027498e-48

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05426
15426

end0.0ms

sample866.0ms

Algorithm
intervals
Results
479.0ms11019×body80valid