Details

Time bar (total: 14.4s)

sample5.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 34.838867%

Results
23.0ms256×body80valid
2.0ms21×body80invalid

simplify57.0ms

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: 30.0b

Counts
2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.6b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.7b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite57.0ms

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:
8.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
6.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
14.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series190.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
5.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
46.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
133.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify75.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05871179
12851995
25002995

prune219.0ms

Filtered
70 candidates to 99 candidates (-41.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New91899
Fresh000
Picked101
Done000
Total928100

Merged error: 2.2b

Counts
100 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) 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)))
26.8b
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite69.0ms

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:
9.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
6.0ms
(* (+ (* z 3.13060547623) 11.1667541262) 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)))
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))

series193.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) 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)))
51.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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
117 → 117
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05971843
126821632
250011632

prune253.0ms

Filtered
83 candidates to 117 candidates (-41.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1161117
Fresh347
Picked011
Done000
Total1196125

Merged error: 0.0b

Counts
125 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z)))))
0.3b
(* 36.527041698806414 (/ 1 z))
2.2b
(* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
7.8b
(/ t (pow z 2))

rewrite44.0ms

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
9×associate-*r/
8×pow1 associate-/r*
6×distribute-rgt-in associate-+r+ distribute-lft-in associate-*l* add-log-exp
5×div-exp prod-exp
4×sub-neg associate--l+ frac-sub unpow2 unswap-sqr sqr-pow
3×flip3-+ un-div-inv cbrt-unprod flip-+ associate-/l*
2×cbrt-undiv pow-prod-down *-commutative div-inv
1×+-commutative pow-to-exp rec-exp flip3-- frac-2neg 1-exp pow-exp clear-num sum-log flip--
Counts
4 → 132
Calls
4 calls:
12.0ms
(+ x (* y (- (+ (/ 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))

series43.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ x (* y (- (+ (/ 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
144 → 144
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0598895
12574804
25002781

prune207.0ms

Filtered
95 candidates to 144 candidates (-51.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1431144
Fresh044
Picked011
Done011
Total1437150

Merged error: 0.0b

Counts
150 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

5.0b
(sqrt (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
5.0b
(sqrt (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
7.8b
(/ t (pow z 2))
7.8b
(/ t (pow z 2))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
42×add-sqr-sqrt
40×add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
16×associate-/r*
14×add-exp-log
12×sqrt-div
8×frac-sub add-cbrt-cube unpow2 sqr-pow
6×pow1 div-exp sqrt-prod associate-/l*
4×flip3-+ associate-*r/ un-div-inv flip-+ add-log-exp
2×cbrt-undiv pow-to-exp rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 pow-exp clear-num flip-- div-inv
Counts
4 → 136
Calls
4 calls:
14.0ms
(sqrt (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
12.0ms
(sqrt (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
5.0ms
(/ t (pow z 2))
5.0ms
(/ t (pow z 2))

series34.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
12.0ms
(sqrt (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
5.0ms
(/ t (pow z 2))
5.0ms
(/ t (pow z 2))

simplify51.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03881076
115121018
250011000

prune305.0ms

Filtered
98 candidates to 148 candidates (-51.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1480148
Fresh044
Picked011
Done022
Total1487155

Merged error: 0.0b

Counts
155 → 7

regimes952.0ms

Accuracy

97.7% (0.6b remaining)

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

bsearch86.0ms

Steps
ItersRangePoint
9
2.202130025856694e+48
1.0642742610041579e+55
3.404664783471301e+52
9
-1.7121365509751614e+31
-5.652259587156808e+24
-3.0251709595568984e+29

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07326
17326

end0.0ms

sample6.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 34.838867%

Results
701.0ms8000×body80valid
76.0ms864×body80invalid

Profiling

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