Details

Time bar (total: 7.7s)

analyze1.6s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
0%99.7%0.3%13
0%99.7%0.3%14

sample53.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
9.0ms161×body80invalid

simplify148.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (146.0ms)

IterNodesCost
0632517

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.0b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 9.0 y))
0.9b
(- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a)))
2.5b
(/ (+ (* x (* 9.0 y)) b) z)
12.9b
(/ (- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a))) c)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
13×add-exp-log add-cbrt-cube
9×pow1
6×associate-/r* associate-/l* add-log-exp
4×associate-/l/
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×sub-neg flip3-+ diff-log div-sub associate-*r* *-commutative flip-+
Counts
4 → 88
Calls
4 calls:
5.0ms
(* x (* 9.0 y))
10.0ms
(- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a)))
8.0ms
(/ (+ (* x (* 9.0 y)) b) z)
11.0ms
(/ (- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a))) c)

series100.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* x (* 9.0 y))
37.0ms
(- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a)))
13.0ms
(/ (+ (* x (* 9.0 y)) b) z)
46.0ms
(/ (- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a))) c)

simplify51.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049961624
149961624

prune191.0ms

Filtered
75 candidates to 100 candidates (-33.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9010100
Fresh011
Picked101
Done000
Total9111102

Merged error: 0.1b

Counts
102 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (* t (/ a c)))
0.2b
(* x (* 9.0 y))
5.5b
(* t (/ a c))
9.7b
(/ (+ (* x (* 9.0 y)) b) (* z c))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
21×add-sqr-sqrt
16×pow1 add-cube-cbrt *-un-lft-identity
15×associate-*r*
13×times-frac
11×prod-exp cbrt-unprod
9×associate-*l*
7×pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×associate-*r/ *-commutative associate-/l*
2×div-inv associate-/l/ unswap-sqr
1×frac-2neg flip3-+ clear-num associate-/r* flip-+
Counts
4 → 94
Calls
4 calls:
7.0ms
(* 4.0 (* t (/ a c)))
5.0ms
(* x (* 9.0 y))
6.0ms
(* t (/ a c))
11.0ms
(/ (+ (* x (* 9.0 y)) b) (* z c))

series31.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 4.0 (* t (/ a c)))
3.0ms
(* x (* 9.0 y))
5.0ms
(* t (/ a c))
16.0ms
(/ (+ (* x (* 9.0 y)) b) (* z c))

simplify37.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05232864

prune183.0ms

Filtered
70 candidates to 106 candidates (-51.4%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New997106
Fresh2810
Picked101
Done000
Total10215117

Merged error: 0.0b

Counts
117 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 9.0 y))
2.9b
(/ (+ (* x (* 9.0 y)) b) c)
5.5b
(* t (/ a c))
6.6b
(* (/ 1 z) (/ (+ (* x (* 9.0 y)) b) c))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
44×times-frac
38×add-exp-log
37×*-un-lft-identity
35×add-cube-cbrt
28×add-cbrt-cube
27×associate-*r*
19×associate-*l*
13×pow1 prod-exp
10×div-exp
9×cbrt-unprod
8×unswap-sqr
6×cbrt-undiv
5×pow-prod-down
4×div-inv add-log-exp
3×associate-/r* *-commutative associate-/l*
2×rec-exp 1-exp associate-*r/ associate-/l/
1×frac-times frac-2neg flip3-+ associate-*l/ clear-num flip-+
Counts
4 → 135
Calls
4 calls:
5.0ms
(* x (* 9.0 y))
8.0ms
(/ (+ (* x (* 9.0 y)) b) c)
6.0ms
(* t (/ a c))
14.0ms
(* (/ 1 z) (/ (+ (* x (* 9.0 y)) b) c))

series44.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* x (* 9.0 y))
17.0ms
(/ (+ (* x (* 9.0 y)) b) c)
5.0ms
(* t (/ a c))
19.0ms
(* (/ 1 z) (/ (+ (* x (* 9.0 y)) b) c))

simplify63.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050461612

prune215.0ms

Filtered
98 candidates to 147 candidates (-50.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1443147
Fresh6814
Picked011
Done000
Total15012162

Merged error: 0.0b

Counts
162 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (* (/ y c) x))
5.5b
(* t (/ a c))
6.0b
(* (/ y c) x)
6.6b
(* (/ 1 z) (+ (* 9.0 (* (/ y c) x)) (/ b c)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
32×add-exp-log associate-*l*
31×times-frac
30×*-un-lft-identity
29×add-cube-cbrt
28×add-cbrt-cube
20×associate-*r*
15×pow1
13×prod-exp
11×cbrt-unprod
7×associate-*r/ unswap-sqr
6×pow-prod-down
5×div-exp associate-*l/
4×cbrt-undiv *-commutative add-log-exp
3×frac-times div-inv
2×flip3-+ frac-add flip-+
1×distribute-rgt-in rec-exp distribute-lft-in 1-exp
Counts
4 → 128
Calls
4 calls:
6.0ms
(* 9.0 (* (/ y c) x))
6.0ms
(* t (/ a c))
6.0ms
(* (/ y c) x)
15.0ms
(* (/ 1 z) (+ (* 9.0 (* (/ y c) x)) (/ b c)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 9.0 (* (/ y c) x))
5.0ms
(* t (/ a c))
5.0ms
(* (/ y c) x)
25.0ms
(* (/ 1 z) (+ (* 9.0 (* (/ y c) x)) (/ b c)))

simplify54.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050011405

prune136.0ms

Filtered
94 candidates to 140 candidates (-48.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1382140
Fresh2810
Picked101
Done011
Total14111152

Merged error: 0.0b

Counts
152 → 11

regimes1.4s

Accuracy

57.4% (4.5b remaining)

Error of 4.6b against oracle of 0.1b and baseline of 10.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075189
175189

end0.0ms

analyze1.8s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
0%99.7%0.3%13
0%99.7%0.3%14

sample1.3s

Algorithm
intervals
Results
496.0ms8000×body80valid
296.0ms4784×body80invalid

Profiling

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