Details

Time bar (total: 6.3s)

analyze1.5s

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

sample48.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
9.0ms167×body80invalid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
0495317
1495317

prune15.0ms

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: 8.7b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 9.0 y))
0.3b
(- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a)))
3.2b
(/ (+ (* x (* 9.0 y)) b) z)
10.9b
(/ (- (/ (+ (* 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)

series98.0ms

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)
44.0ms
(/ (- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a))) c)

simplify52.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049641623
149641623

prune195.0ms

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: 0.5b

Counts
102 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ x (* z c))
4.8b
(* t (/ a c))
4.8b
(/ b (* z c))
5.5b
(* y (/ x (* z c)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt
20×associate-*r*
19×add-cube-cbrt *-un-lft-identity times-frac
8×pow1 prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×associate-*l* associate-/l*
4×div-inv add-log-exp
3×unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 101
Calls
4 calls:
4.0ms
(/ x (* z c))
6.0ms
(* t (/ a c))
4.0ms
(/ b (* z c))
6.0ms
(* y (/ x (* z c)))

series21.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (* z c))
5.0ms
(* t (/ a c))
5.0ms
(/ b (* z c))
8.0ms
(* y (/ x (* z c)))

simplify49.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04996768
14996768

prune187.0ms

Filtered
74 candidates to 113 candidates (-52.7%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New10310113
Fresh3710
Picked101
Done000
Total10717124

Merged error: 0.0b

Counts
124 → 17

localize15.0ms

Local error

Found 4 expressions with local error:

3.1b
(/ (/ x z) c)
4.8b
(* t (/ a c))
4.8b
(/ b (* z c))
5.5b
(* y (/ (/ x z) c))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
157×times-frac
106×add-sqr-sqrt
92×add-cube-cbrt *-un-lft-identity
56×associate-*r*
28×add-exp-log add-cbrt-cube
16×associate-/l*
11×div-inv
9×cbrt-undiv div-exp
8×pow1
6×associate-*l* prod-exp cbrt-unprod
5×unswap-sqr
4×associate-/r* add-log-exp
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
1×associate-/l/
Counts
4 → 188
Calls
4 calls:
6.0ms
(/ (/ x z) c)
6.0ms
(* t (/ a c))
4.0ms
(/ b (* z c))
13.0ms
(* y (/ (/ x z) c))

series21.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (/ x z) c)
5.0ms
(* t (/ a c))
5.0ms
(/ b (* z c))
7.0ms
(* y (/ (/ x z) c))

simplify71.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049741794
149741794

prune457.0ms

Filtered
152 candidates to 200 candidates (-31.6%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1991200
Fresh21416
Picked011
Done000
Total20116217

Merged error: 0.0b

Counts
217 → 16

localize19.0ms

Local error

Found 4 expressions with local error:

5.5b
(* y (/ x (* z c)))
12.1b
(cbrt (/ a c))
12.1b
(cbrt (/ a c))
12.1b
(cbrt (/ a c))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
30×add-sqr-sqrt times-frac
28×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
7×associate-*r*
6×pow1
4×prod-exp cbrt-unprod div-inv add-log-exp
3×cbrt-div pow1/3 associate-*l*
2×cbrt-undiv div-exp
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 93
Calls
4 calls:
6.0ms
(* y (/ x (* z c)))
2.0ms
(cbrt (/ a c))
2.0ms
(cbrt (/ a c))
2.0ms
(cbrt (/ a c))

series48.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* y (/ x (* z c)))
14.0ms
(cbrt (/ a c))
12.0ms
(cbrt (/ a c))
13.0ms
(cbrt (/ a c))

simplify82.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04965846
14965846

prune109.0ms

Filtered
84 candidates to 105 candidates (-25.0%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh01414
Picked011
Done011
Total10516121

Merged error: 0.0b

Counts
121 → 16

regimes1.8s

Accuracy

59% (4.6b remaining)

Error of 4.7b against oracle of 0.0b and baseline of 11.3b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0235161
1235161

end0.0ms

sample1.3s

Algorithm
intervals
Results
479.0ms8000×body80valid
282.0ms4775×body80invalid

Profiling

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