Details

Time bar (total: 9.1s)

sample68.0ms

Algorithm
intervals
Results
33.0ms500×body80valid

simplify143.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
06615
120414
263114
3146814
4246414
5390914
6500114

prune17.0ms

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: 4.1b

Counts
2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.2b
(* (* j 27.0) k)
4.7b
(* (* (* (* x 18.0) y) z) t)
5.6b
(* (* (* x 18.0) y) z)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*l* *-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (* x 18.0) y)
5.0ms
(* (* j 27.0) k)
11.0ms
(* (* (* (* x 18.0) y) z) t)
7.0ms
(* (* (* x 18.0) y) z)

series110.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* x 18.0) y)
17.0ms
(* (* j 27.0) k)
47.0ms
(* (* (* (* x 18.0) y) z) t)
26.0ms
(* (* (* x 18.0) y) z)

simplify67.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0360423
12133320
25001320

prune295.0ms

Filtered
93 candidates to 46 candidates (49.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New85893
Fresh011
Picked101
Done000
Total86995

Merged error: 0.8b

Counts
95 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
0.2b
(* (* j 27.0) k)
2.7b
(* (* x 18.0) (* y z))
4.7b
(* (* (* x 18.0) (* y z)) t)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
39×pow1 add-exp-log add-cbrt-cube
24×pow-prod-down prod-exp cbrt-unprod
18×add-log-exp
8×diff-log
7×associate-*r*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate--l+
3×associate-*l* *-commutative
2×sub-neg sum-log
1×associate--l- flip3-- flip--
Counts
4 → 86
Calls
4 calls:
15.0ms
(- (- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
5.0ms
(* (* j 27.0) k)
7.0ms
(* (* x 18.0) (* y z))
10.0ms
(* (* (* x 18.0) (* y z)) t)

series2.9s

Counts
4 → 12
Calls
4 calls:
2.8s
(- (- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
17.0ms
(* (* j 27.0) k)
26.0ms
(* (* x 18.0) (* y z))
47.0ms
(* (* (* x 18.0) (* y z)) t)

simplify85.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0466748
12270615
25001603

prune282.0ms

Filtered
98 candidates to 48 candidates (49.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New95398
Fresh178
Picked101
Done000
Total9710107

Merged error: 0.5b

Counts
107 → 10

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.9b
(* (* (* (* x 18.0) (* y z)) (* (cbrt t) (cbrt t))) (cbrt t))
2.7b
(* (* x 18.0) (* y z))
4.0b
(* (* (* x 18.0) (* y z)) (* (cbrt t) (cbrt t)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
110×pow1 add-exp-log
81×pow-prod-down prod-exp cbrt-unprod
79×add-cbrt-cube
8×associate-*r*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
4×add-log-exp
3×associate-*l* *-commutative
1×pow1/3
Counts
4 → 121
Calls
4 calls:
1.0ms
(cbrt t)
20.0ms
(* (* (* (* x 18.0) (* y z)) (* (cbrt t) (cbrt t))) (cbrt t))
7.0ms
(* (* x 18.0) (* y z))
15.0ms
(* (* (* x 18.0) (* y z)) (* (cbrt t) (cbrt t)))

series431.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt t)
72.0ms
(* (* (* (* x 18.0) (* y z)) (* (cbrt t) (cbrt t))) (cbrt t))
26.0ms
(* (* x 18.0) (* y z))
153.0ms
(* (* (* x 18.0) (* y z)) (* (cbrt t) (cbrt t)))

simplify85.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
04701193
12590793
25001711

prune533.0ms

Filtered
133 candidates to 53 candidates (39.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1330133
Fresh099
Picked011
Done000
Total13310143

Merged error: 0.5b

Counts
143 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 18.0 y))
0.2b
(* (* j 27.0) k)
4.7b
(* (* (* x (* 18.0 y)) z) t)
5.6b
(* (* x (* 18.0 y)) z)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
10×associate-*r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×*-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
5.0ms
(* x (* 18.0 y))
5.0ms
(* (* j 27.0) k)
12.0ms
(* (* (* x (* 18.0 y)) z) t)
7.0ms
(* (* x (* 18.0 y)) z)

series109.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* x (* 18.0 y))
21.0ms
(* (* j 27.0) k)
43.0ms
(* (* (* x (* 18.0 y)) z) t)
26.0ms
(* (* x (* 18.0 y)) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0358423
11917320
25001320

prune214.0ms

Filtered
93 candidates to 45 candidates (48.4%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh088
Picked011
Done011
Total9310103

Merged error: 0.5b

Counts
103 → 10

regimes1.1s

Accuracy

60.8% (2.3b remaining)

Error of 2.6b against oracle of 0.3b and baseline of 6.1b

bsearch366.0ms

Steps
ItersRangePoint
7
3.0658309807038595e+72
2.988000338579622e+74
3.1112859562400316e+72
7
-7.43780178238729e-196
-3.1042614772806867e-198
-4.670238567329067e-196
9
-1.6243997411542699e+122
-4.4480531950400576e+114
-6.512129188275584e+114

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07760
17760

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s16251×body80valid