Details

Time bar (total: 5.0s)

sample44.0ms

Algorithm
intervals
Results
22.0ms392×body80valid

simplify135.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 19.6b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b)
0.2b
(* (* x 9.0) y)
3.9b
(* (* (* z 4.0) t) a)
16.8b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
14×*-un-lft-identity
10×prod-exp cbrt-unprod
9×pow-prod-down add-log-exp
8×add-sqr-sqrt add-cube-cbrt
6×associate-*r*
4×times-frac associate-/l*
3×distribute-lft-out
2×cbrt-undiv associate-+l- associate-+l+ flip3-+ div-exp associate-*l* sum-log *-commutative flip-+ associate-/l/
1×+-commutative sub-neg frac-2neg diff-log div-sub clear-num associate-/r* div-inv
Counts
4 → 81
Calls
4 calls:
7.0ms
(+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b)
5.0ms
(* (* x 9.0) y)
7.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series380.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b)
19.0ms
(* (* x 9.0) y)
28.0ms
(* (* (* z 4.0) t) a)
199.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify67.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0481731
12190614
25001614

prune241.0ms

Filtered
93 candidates to 59 candidates (63.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New84993
Fresh000
Picked101
Done000
Total85994

Merged error: 5.0b

Counts
94 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.8b
(/ b (* z c))
7.1b
(/ (* a t) c)
8.7b
(/ (* x y) (* z c))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1
5×associate-*r* associate-/r* associate-/l*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
6.0ms
(/ (* x y) (* z c))

series115.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 9.0 (/ (* x y) (* z c)))
20.0ms
(/ b (* z c))
19.0ms
(/ (* a t) c)
31.0ms
(/ (* x y) (* z c))

simplify61.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0420503
12365384
25002384

prune269.0ms

Filtered
104 candidates to 62 candidates (59.6%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New9311104
Fresh448
Picked101
Done000
Total9815113

Merged error: 0.0b

Counts
113 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.0b
(/ a (/ c t))
5.8b
(/ b (* z c))
8.7b
(/ (* x y) (* z c))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
52×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
44×add-exp-log add-cbrt-cube
15×associate-/r*
14×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
8×div-inv
7×associate-/l*
6×pow1
5×associate-*r*
4×add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down associate-/r/ *-commutative unswap-sqr
Counts
4 → 141
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
6.0ms
(/ a (/ c t))
4.0ms
(/ b (* z c))
9.0ms
(/ (* x y) (* z c))

series113.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 9.0 (/ (* x y) (* z c)))
25.0ms
(/ a (/ c t))
20.0ms
(/ b (* z c))
28.0ms
(/ (* x y) (* z c))

simplify77.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0634870
13152746
25002746

prune429.0ms

Filtered
153 candidates to 104 candidates (68.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1521153
Fresh31114
Picked011
Done000
Total15513168

Merged error: 0.0b

Counts
168 → 13

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
4.0b
(* (/ (* (cbrt b) (cbrt b)) z) (/ (cbrt b) c))
7.1b
(/ (* a t) c)
8.7b
(/ (* x y) (* z c))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
38×add-sqr-sqrt
35×add-cbrt-cube
32×times-frac
22×add-cube-cbrt *-un-lft-identity associate-*r*
14×cbrt-prod
13×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×associate-/r* div-inv add-log-exp
2×frac-2neg clear-num associate-/l*
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt b)
14.0ms
(* (/ (* (cbrt b) (cbrt b)) z) (/ (cbrt b) c))
4.0ms
(/ (* a t) c)
6.0ms
(/ (* x y) (* z c))

series271.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt b)
46.0ms
(* (/ (* (cbrt b) (cbrt b)) z) (/ (cbrt b) c))
19.0ms
(/ (* a t) c)
28.0ms
(/ (* x y) (* z c))

simplify79.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0666853
13585673
25002628

prune388.0ms

Filtered
124 candidates to 87 candidates (70.2%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1231124
Fresh2911
Picked011
Done011
Total12512137

Merged error: 0.0b

Counts
137 → 12

regimes742.0ms

Accuracy

7% (9.8b remaining)

Error of 10.3b against oracle of 0.5b and baseline of 11.1b

bsearch246.0ms

Steps
ItersRangePoint
10
25577596.84945001
3.3213059015388503e+18
31928303.196320888
7
6.775427766400068e-229
2.954157317500243e-227
6.31146352264549e-228
9
-4.90393636346122e-178
-3.6698687247745566e-184
-1.3391039260483706e-180

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06847
16847

end0.0ms

sample1.1s

Algorithm
intervals
Results
619.0ms12803×body80valid