Details

Time bar (total: 8.7s)

sample266.0ms

Algorithm
intervals
Results
217.0ms473×body80valid

simplify152.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
06615
120414
263114
3146814
4246414
5390914
6500114

prune15.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 6.1b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.5b
(* (* j 27.0) k)
3.6b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.4b
(* (* (* x 18.0) y) z)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (* x 18.0) y)
5.0ms
(* (* j 27.0) k)
9.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
9.0ms
(* (* (* x 18.0) y) z)

series52.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* x 18.0) y)
6.0ms
(* (* j 27.0) k)
34.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms
(* (* (* x 18.0) y) z)

simplify80.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0406472
12141393
25001393

prune188.0ms

Filtered
93 candidates to 53 candidates (43.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New821193
Fresh000
Picked101
Done000
Total831194

Merged error: 2.4b

Counts
94 → 11

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.5b
(* j (* 27.0 k))
3.6b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.4b
(* (* (* x 18.0) y) z)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity
8×associate-*l*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (* x 18.0) y)
5.0ms
(* j (* 27.0 k))
9.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
11.0ms
(* (* (* x 18.0) y) z)

series64.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* x 18.0) y)
6.0ms
(* j (* 27.0 k))
43.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
9.0ms
(* (* (* x 18.0) y) z)

simplify81.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0398471
12030392
25001392

prune172.0ms

Filtered
93 candidates to 53 candidates (43.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New91293
Fresh1910
Picked101
Done000
Total9311104

Merged error: 2.4b

Counts
104 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 18.0 (* x (* z y)))
0.5b
(* (* j 27.0) k)
3.6b
(* t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)))
4.7b
(* x (* z y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*l*
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
6.0ms
(* 18.0 (* x (* z y)))
5.0ms
(* (* j 27.0) k)
7.0ms
(* t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)))
5.0ms
(* x (* z y))

series41.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 18.0 (* x (* z y)))
3.0ms
(* (* j 27.0) k)
25.0ms
(* t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)))
6.0ms
(* x (* z y))

simplify74.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0383495
11718409
25001405

prune256.0ms

Filtered
93 candidates to 54 candidates (41.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New92193
Fresh01010
Picked101
Done000
Total9311104

Merged error: 2.4b

Counts
104 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 18.0 y))
0.5b
(* (* j 27.0) k)
3.6b
(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
5.4b
(* (* x (* 18.0 y)) z)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity
8×associate-*l*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
5.0ms
(* x (* 18.0 y))
5.0ms
(* (* j 27.0) k)
8.0ms
(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
11.0ms
(* (* x (* 18.0 y)) z)

series40.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* x (* 18.0 y))
3.0ms
(* (* j 27.0) k)
25.0ms
(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
9.0ms
(* (* x (* 18.0 y)) z)

simplify59.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0404472
11945393
25002393

prune92.0ms

Filtered
93 candidates to 50 candidates (46.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh1910
Picked011
Done000
Total9311104

Merged error: 2.4b

Counts
104 → 11

regimes3.1s

Accuracy

39.9% (2.5b remaining)

Error of 4.7b against oracle of 2.1b and baseline of 6.3b

bsearch128.0ms

Steps
ItersRangePoint
9
6.73081070898739e-21
1.3921361088506224e-13
1.2619910180497786e-20
8
-1.9218360463081672e-125
-1.6126197441303223e-129
-4.7114357542136926e-126

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06839
17839
28139
38139

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.7s16127×body80valid

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