Details

Time bar (total: 15.8s)

sample6.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0.292611%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results
22.0ms256×body80valid
1.0ms15×body80invalid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.4b

Counts
2 → 1

localize28.0ms

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)
2.4b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.5b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite61.0ms

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)
13.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
14.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
25.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series197.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
12.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
46.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
134.0ms
(/ (* 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

prune209.0ms

Filtered
72 candidates to 99 candidates (-37.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New93699
Fresh000
Picked101
Done000
Total946100

Merged error: 2.7b

Counts
100 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 1.6453555072203998 (* y b))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*r* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
4.0ms
(* 1.6453555072203998 (* y b))

series4.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(* 1.6453555072203998 (* y b))

simplify74.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08671
131856
2123256
3343656
4500256

prune55.0ms

Filtered
11 candidates to 21 candidates (-90.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New19221
Fresh055
Picked011
Done000
Total19827

Merged error: 2.7b

Counts
27 → 8

localize26.0ms

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)
0.1b
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
28.0b
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite71.0ms

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:
6.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
12.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
25.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
24.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series197.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
11.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
131.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
50.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify75.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05931919
127031702
250011702

prune250.0ms

Filtered
86 candidates to 117 candidates (-36.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh336
Picked011
Done011
Total1196125

Merged error: 0.2b

Counts
125 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z)))
0.3b
(* 36.527041698806414 (/ 1 z))
4.8b
(* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
6.7b
(/ t (pow z 2))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
35×times-frac
32×*-un-lft-identity
31×add-cube-cbrt
20×add-exp-log
16×associate-*r*
13×add-cbrt-cube
12×unpow-prod-down
11×associate-*r/
9×add-log-exp
8×pow1 associate-/r* frac-sub
6×associate-*l*
5×div-exp prod-exp un-div-inv
4×flip3-+ flip-+ unpow2 unswap-sqr sqr-pow
3×distribute-rgt-in sub-neg distribute-lft-in associate--l+ cbrt-unprod associate-/l*
2×cbrt-undiv flip3-- diff-log pow-prod-down *-commutative flip-- div-inv
1×pow-to-exp rec-exp frac-2neg 1-exp pow-exp clear-num sum-log
Counts
4 → 133
Calls
4 calls:
15.0ms
(- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z)))
7.0ms
(* 36.527041698806414 (/ 1 z))
15.0ms
(* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
5.0ms
(/ t (pow z 2))

series28.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z)))
2.0ms
(* 36.527041698806414 (/ 1 z))
14.0ms
(* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
5.0ms
(/ t (pow z 2))

simplify69.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0550962
12525862
25002838

prune173.0ms

Filtered
90 candidates to 145 candidates (-61.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1450145
Fresh033
Picked011
Done022
Total1456151

Merged error: 0.2b

Counts
151 → 6

regimes773.0ms

Accuracy

97.1% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 26.7b

bsearch80.0ms

Steps
ItersRangePoint
7
3.563530671371188e+45
2.8878518679967145e+47
5.611169715748183e+45
5
-1.6314710615680972e+76
-7.517881697723002e+75
-7.640951685026906e+75

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07326
17326

end0.0ms

sample7.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0.292611%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results
715.0ms8000×body80valid
76.0ms861×body80invalid

Profiling

Loading profile data...