Details

Time bar (total: 6.6s)

analyze1.9s

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
0.8%98.9%0.3%13
1.2%98.5%0.3%14

sample39.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
3.0ms30×body80invalid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0491437
1491437

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: 26.4b

Counts
2 → 2

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
0.1b
(* z (+ (* z 3.13060547623) 11.1667541262))
0.2b
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
25.6b
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
21×associate-*r*
19×times-frac
15×add-exp-log add-cbrt-cube
10×pow1
9×associate-*l*
5×flip3-+ associate-*r/ flip-+
4×prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp div-inv associate-/l/
1×frac-2neg clear-num
Counts
4 → 109
Calls
4 calls:
18.0ms
(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
7.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
27.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
27.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series209.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
6.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
141.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
50.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify59.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049543425
149543425

prune328.0ms

Filtered
92 candidates to 121 candidates (-31.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1138121
Fresh011
Picked101
Done000
Total1149123

Merged error: 0.2b

Counts
123 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))
0.0b
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
2.0b
(* y (/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
2.2b
(/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
35×add-sqr-sqrt
26×add-cube-cbrt
25×times-frac
24×associate-*r*
15×add-exp-log add-cbrt-cube
10×pow1
9×associate-*l*
7×distribute-lft-out
5×flip3-+ associate-*r/ flip-+
4×prod-exp associate-/r/ cbrt-unprod associate-/l* add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp div-inv associate-/l/
1×frac-2neg clear-num
Counts
4 → 116
Calls
4 calls:
15.0ms
(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))
10.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
20.0ms
(* y (/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
16.0ms
(/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series116.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))
4.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
70.0ms
(* y (/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
37.0ms
(/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify69.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049122442
149122442

prune230.0ms

Filtered
94 candidates to 128 candidates (-36.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1271128
Fresh178
Picked011
Done000
Total1289137

Merged error: 0.2b

Counts
137 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ z 15.234687407))
0.0b
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
0.0b
(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))
3.5b
(/ (* b y) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
14×*-un-lft-identity
12×add-cube-cbrt
10×pow1 associate-*r*
9×associate-*l*
6×associate-*r/
4×flip3-+ prod-exp cbrt-unprod flip-+ add-log-exp
3×distribute-rgt-in distribute-lft-in times-frac pow-prod-down associate-/r* *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/
1×frac-2neg clear-num div-inv distribute-lft-out associate-/l*
Counts
4 → 90
Calls
4 calls:
6.0ms
(* z (+ z 15.234687407))
9.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
12.0ms
(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))
15.0ms
(/ (* b y) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series83.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* z (+ z 15.234687407))
4.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
5.0ms
(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))
70.0ms
(/ (* b y) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify54.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049941418
149941418

prune156.0ms

Filtered
70 candidates to 102 candidates (-45.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh077
Picked011
Done011
Total1029111

Merged error: 0.2b

Counts
111 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* z 3.13060547623) 11.1667541262))
0.1b
(/ 1 (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b)))
0.2b
(* y (/ 1 (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))))
25.6b
(/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
168×times-frac
112×add-sqr-sqrt
98×*-un-lft-identity
96×add-cube-cbrt
53×associate-*r*
38×add-exp-log
22×add-cbrt-cube
18×associate-/r* associate-/r/
15×div-exp
10×flip3-+ flip-+ div-inv
9×pow1
8×prod-exp
7×cbrt-undiv
6×associate-*l* associate-/l* unswap-sqr
4×rec-exp 1-exp cbrt-unprod add-log-exp
3×associate-*r/
2×frac-2neg pow-prod-down clear-num *-commutative associate-/l/
1×distribute-rgt-in pow-flip distribute-lft-in un-div-inv inv-pow
Counts
4 → 216
Calls
4 calls:
7.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
27.0ms
(/ 1 (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b)))
39.0ms
(* y (/ 1 (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))))
27.0ms
(/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))

series249.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
52.0ms
(/ 1 (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b)))
141.0ms
(* y (/ 1 (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))))
50.0ms
(/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))

simplify117.0ms

Algorithm
egg-herbie
Counts
228 → 228
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
049799240
149799240

prune589.0ms

Filtered
155 candidates to 228 candidates (-47.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2280228
Fresh066
Picked011
Done022
Total2289237

Merged error: 0.2b

Counts
237 → 9

regimes745.0ms

Accuracy

96.8% (0.7b remaining)

Error of 1.1b against oracle of 0.4b and baseline of 22.0b

bsearch65.0ms

Steps
ItersRangePoint
8
2.3804886747234645e+58
1.4495796856065065e+62
4.64337809782387e+58
10
-7.25409514348367e+30
-1.827730517013006e+16
-4.903689950629846e+30

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08063
18063

end0.0ms

sample1.1s

Algorithm
intervals
Results
691.0ms8000×body80valid
80.0ms900×body80invalid

Profiling

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