Details

Time bar (total: 11.8s)

sample62.0ms

Algorithm
intervals
Results
24.0ms286×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune8.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.2b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
1.5b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
25.7b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×associate-*r* associate-*l*
5×flip3-+ flip-+
4×associate-*r/ associate-*l/ prod-exp cbrt-unprod add-log-exp
3×times-frac pow-prod-down associate-/r* *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv associate-/l*
Counts
4 → 87
Calls
4 calls:
6.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
12.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
14.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
30.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series845.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
68.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
187.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
513.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify76.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05731240
128061065
250011065

prune975.0ms

Filtered
99 candidates to 72 candidates (27.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New92799
Fresh000
Picked101
Done000
Total937100

Merged error: 3.3b

Counts
100 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.2b
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
24.7b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
18×associate-/r*
15×add-exp-log add-cbrt-cube
11×associate-/r/
8×pow1 flip3-+ flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
2×frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 149
Calls
4 calls:
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
12.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
23.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
25.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series775.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
69.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
494.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
134.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify100.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07373553
134413347
250013346

prune1.9s

Filtered
161 candidates to 127 candidates (21.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1601161
Fresh156
Picked101
Done000
Total1626168

Merged error: 3.3b

Counts
168 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.2b
(/ y (* (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))))
0.4b
(/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
24.3b
(* (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
33×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
23×times-frac
22×add-cbrt-cube
18×associate-*r*
11×div-exp
10×associate-/r/
9×pow1 prod-exp
7×flip3-+ flip-+
6×cbrt-undiv associate-*l* associate-*l/ associate-/l*
5×cbrt-unprod
4×frac-times associate-/r* add-log-exp unswap-sqr
3×rec-exp 1-exp div-inv
2×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative
1×pow-flip inv-pow
Counts
4 → 126
Calls
4 calls:
12.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
29.0ms
(/ y (* (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))))
13.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.0ms
(* (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

series791.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
515.0ms
(/ y (* (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))))
68.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
136.0ms
(* (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

simplify82.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05982339
128752011
250011980

prune1.2s

Filtered
138 candidates to 88 candidates (36.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1380138
Fresh055
Picked011
Done000
Total1386144

Merged error: 3.3b

Counts
144 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.4b
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
24.6b
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite76.0ms

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-+ flip-+
4×associate-*l/ prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv div-exp div-inv associate-/l/
1×frac-2neg associate-*r/ clear-num
Counts
4 → 105
Calls
4 calls:
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
13.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
28.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
26.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series911.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
72.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
519.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
239.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify78.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05931919
127031702
250011702

prune1.0s

Filtered
117 candidates to 86 candidates (26.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh044
Picked011
Done011
Total1167123

Merged error: 0.6b

Counts
123 → 7

regimes884.0ms

Accuracy

97.4% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 27.4b

bsearch324.0ms

Steps
ItersRangePoint
9
7.876921732802666e+53
9.360979826919054e+60
8.491773238704235e+55
8
-3.20233221123102e+66
-1.455789405816746e+63
-1.0931987899052146e+64

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07427
17427

end0.0ms

sample1.3s

Algorithm
intervals
Results
722.0ms8878×body80valid

Profiling

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