Details

Time bar (total: 7.4s)

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

sample50.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
9.0ms158×body80invalid

simplify143.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (141.0ms)

IterNodesCost
0632517

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: 7.2b

Counts
2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 9.0 y))
0.5b
(- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a)))
1.7b
(/ (+ (* x (* 9.0 y)) b) z)
10.7b
(/ (- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a))) c)

rewrite35.0ms

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)

series95.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* x (* 9.0 y))
35.0ms
(- (/ (+ (* 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)

simplify46.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049961624
149961624

prune186.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New928100
Fresh011
Picked101
Done000
Total939102

Merged error: 0.0b

Counts
102 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

4.5b
(/ b (* z c))
4.6b
(* y (/ x (* z c)))
5.4b
(/ x (* z c))
7.8b
(* t (/ a c))

rewrite26.0ms

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
(/ b (* z c))
6.0ms
(* y (/ x (* z c)))
4.0ms
(/ x (* z c))
8.0ms
(* t (/ a c))

series22.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04989768
14989768

prune166.0ms

Filtered
79 candidates to 113 candidates (-43.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1094113
Fresh088
Picked101
Done000
Total11012122

Merged error: 0.0b

Counts
122 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

2.4b
(/ (* (cbrt x) (cbrt x)) (* c (/ z (cbrt x))))
4.5b
(/ b (* z c))
4.6b
(* y (/ (* (cbrt x) (cbrt x)) (* c (/ z (cbrt x)))))
7.8b
(* t (/ a c))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
48×add-cbrt-cube
24×prod-exp cbrt-unprod
23×add-sqr-sqrt
19×cbrt-undiv div-exp associate-*r*
16×add-cube-cbrt *-un-lft-identity
15×times-frac
8×pow1
6×associate-*l*
4×associate-*r/ div-inv associate-/l* add-log-exp
3×unswap-sqr
2×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative
Counts
4 → 113
Calls
4 calls:
10.0ms
(/ (* (cbrt x) (cbrt x)) (* c (/ z (cbrt x))))
4.0ms
(/ b (* z c))
14.0ms
(* y (/ (* (cbrt x) (cbrt x)) (* c (/ z (cbrt x)))))
6.0ms
(* t (/ a c))

series30.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ (* (cbrt x) (cbrt x)) (* c (/ z (cbrt x))))
5.0ms
(/ b (* z c))
12.0ms
(* y (/ (* (cbrt x) (cbrt x)) (* c (/ z (cbrt x)))))
5.0ms
(* t (/ a c))

simplify54.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04985982
14985982

prune160.0ms

Filtered
76 candidates to 125 candidates (-64.5%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1250125
Fresh01111
Picked011
Done000
Total12512137

Merged error: 0.0b

Counts
137 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

7.8b
(* t (/ a c))
15.7b
(cbrt (* t (/ a c)))
15.7b
(cbrt (* t (/ a c)))
15.7b
(cbrt (* t (/ a c)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*r/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
6.0ms
(* t (/ a c))
4.0ms
(cbrt (* t (/ a c)))
4.0ms
(cbrt (* t (/ a c)))
4.0ms
(cbrt (* t (/ a c)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* t (/ a c))
19.0ms
(cbrt (* t (/ a c)))
19.0ms
(cbrt (* t (/ a c)))
19.0ms
(cbrt (* t (/ a c)))

simplify46.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05425506

prune78.0ms

Filtered
54 candidates to 74 candidates (-37.0%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New73174
Fresh01010
Picked011
Done011
Total731386

Merged error: 0.0b

Counts
86 → 13

regimes1.6s

Accuracy

62.9% (3.7b remaining)

Error of 3.8b against oracle of 0.1b and baseline of 10.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
098227
198227

end0.0ms

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

sample1.3s

Algorithm
intervals
Results
487.0ms8000×body80valid
297.0ms4894×body80invalid

Profiling

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