Details

Time bar (total: 9.1s)

analyze2.2s

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14

sample107.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify147.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (145.0ms)

IterNodesCost
0483433
1483433

prune14.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 31.6b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* x y) z) y)
30.8b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×add-log-exp
3×pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 91
Calls
4 calls:
12.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
6.0ms
(* (+ (* x y) z) y)
28.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series179.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
14.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms
(* (+ (* x y) z) y)
142.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify51.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051352257

prune281.0ms

Filtered
85 candidates to 103 candidates (-21.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New9013103
Fresh000
Picked101
Done000
Total9113104

Merged error: 30.2b

Counts
104 → 13

localize33.0ms

Local error

Found 4 expressions with local error:

25.1b
(cbrt (* y (+ (* x y) z)))
25.1b
(cbrt (* y (+ (* x y) z)))
25.1b
(cbrt (* y (+ (* x y) z)))
30.8b
(/ (+ (* (+ (* (+ (* (* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z)))) (cbrt (* y (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div associate-*r/ add-cbrt-cube
5×flip3-+ flip-+
4×pow1 add-log-exp
3×cbrt-prod pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
5.0ms
(cbrt (* y (+ (* x y) z)))
5.0ms
(cbrt (* y (+ (* x y) z)))
5.0ms
(cbrt (* y (+ (* x y) z)))
36.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z)))) (cbrt (* y (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series224.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (* y (+ (* x y) z)))
35.0ms
(cbrt (* y (+ (* x y) z)))
37.0ms
(cbrt (* y (+ (* x y) z)))
116.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z)))) (cbrt (* y (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify40.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
049241891
149241891

prune206.0ms

Filtered
70 candidates to 76 candidates (-8.6%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh01212
Picked011
Done000
Total761389

Merged error: 30.2b

Counts
89 → 13

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (+ (* y (+ (* y (+ y a)) b)) c))
0.1b
(* (+ (* x y) z) y)
0.4b
(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
30.5b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log associate-*r*
20×times-frac
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×flip3-+ prod-exp flip-+
5×unswap-sqr
4×div-exp associate-*l/ associate-/r/ cbrt-unprod add-log-exp
3×associate-*r/ pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp div-inv
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in clear-num un-div-inv inv-pow
Counts
4 → 117
Calls
4 calls:
12.0ms
(* y (+ (* y (+ (* y (+ y a)) b)) c))
7.0ms
(* (+ (* x y) z) y)
13.0ms
(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
32.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* y (+ (* y (+ (* y (+ y a)) b)) c))
8.0ms
(* (+ (* x y) z) y)
23.0ms
(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
142.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

simplify75.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049672935
149672935

prune238.0ms

Filtered
87 candidates to 129 candidates (-48.3%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1281129
Fresh01111
Picked011
Done011
Total12814142

Merged error: 30.2b

Counts
142 → 14

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (+ (* y (+ (* y (+ y a)) b)) c))
0.1b
(* y (+ (* x y) z))
0.4b
(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
30.6b
(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
11×associate-/r/
9×pow1
8×flip3-+ div-exp flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv associate-*r/ add-log-exp
2×distribute-rgt-in rec-exp frac-2neg distribute-lft-in 1-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×pow-flip inv-pow
Counts
4 → 159
Calls
4 calls:
12.0ms
(* y (+ (* y (+ (* y (+ y a)) b)) c))
7.0ms
(* y (+ (* x y) z))
26.0ms
(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
26.0ms
(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

series390.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* y (+ (* y (+ (* y (+ y a)) b)) c))
9.0ms
(* y (+ (* x y) z))
135.0ms
(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
230.0ms
(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

simplify81.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
051146497

prune242.0ms

Filtered
119 candidates to 171 candidates (-43.7%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1683171
Fresh3811
Picked011
Done022
Total17114185

Merged error: 30.2b

Counts
185 → 14

regimes1.6s

Accuracy

0% (1.1b remaining)

Error of 28.8b against oracle of 27.7b and baseline of 28.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04552
14552

end0.0ms

sample2.5s

Algorithm
intervals
Results
711.0ms8000×body80valid

Profiling

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