Details

Time bar (total: 16.9s)

sample6.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 5.029297%

Guaranteed chance to sample good point: 15.318123%

Results
22.0ms256×body80valid
2.0ms29×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: 30.5b

Counts
2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
1.9b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.4b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite62.0ms

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:
12.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
6.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
15.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series206.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
6.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
50.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
140.0ms
(/ (* 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 (15.0ms)

IterNodesCost
05731240
128061065
250011065

prune221.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New92799
Fresh000
Picked011
Done000
Total928100

Merged error: 1.7b

Counts
100 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1.6453555072203998 (* y b)))
0.3b
(* 1.6453555072203998 (* y b))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
2.0ms
(+ x (* 1.6453555072203998 (* y b)))
5.0ms
(* 1.6453555072203998 (* y b))

series11.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (* 1.6453555072203998 (* y b)))
4.0ms
(* 1.6453555072203998 (* y b))

simplify69.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune79.0ms

Filtered
22 candidates to 35 candidates (-59.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New32335
Fresh156
Picked101
Done011
Total34943

Merged error: 1.7b

Counts
43 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(* 36.527041698806414 (/ y z))
1.8b
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
12.3b
(/ (* t y) (pow z 2))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
20×add-sqr-sqrt
18×times-frac
15×add-cube-cbrt *-un-lft-identity
13×associate-*r* add-cbrt-cube
8×associate-/r* add-log-exp
7×div-exp
6×unpow-prod-down
5×pow1 prod-exp
3×cbrt-undiv associate-*r/ associate-*l* cbrt-unprod
2×pow-to-exp diff-log pow-exp frac-sub div-inv unpow2 unswap-sqr sqr-pow
1×sub-neg flip3-- frac-2neg flip3-+ pow-prod-down associate--l+ clear-num sum-log *-commutative flip-- flip-+ associate-/l*
Counts
3 → 83
Calls
3 calls:
6.0ms
(* 36.527041698806414 (/ y z))
11.0ms
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
5.0ms
(/ (* t y) (pow z 2))

series26.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* 36.527041698806414 (/ y z))
13.0ms
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
9.0ms
(/ (* t y) (pow z 2))

simplify60.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0471554
12282502
25001502

prune137.0ms

Filtered
60 candidates to 92 candidates (-53.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New91192
Fresh347
Picked101
Done011
Total956101

Merged error: 0.0b

Counts
101 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 36.527041698806414 (/ y z))
1.8b
(- (+ (* 3.13060547623 y) (* t (/ y (pow z 2)))) (* 36.527041698806414 (/ y z)))
7.8b
(* t (/ y (pow z 2)))
8.0b
(/ y (pow z 2))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt times-frac
45×add-cube-cbrt *-un-lft-identity
41×associate-*r*
24×add-exp-log
22×unpow-prod-down
16×add-cbrt-cube
9×add-log-exp
8×pow1 associate-/r* unpow2 sqr-pow
7×div-exp unswap-sqr
6×associate-*l* prod-exp
4×associate-*r/ cbrt-unprod
3×cbrt-undiv div-inv associate-/l*
2×pow-to-exp diff-log pow-prod-down pow-exp *-commutative frac-sub
1×sub-neg flip3-- frac-2neg flip3-+ associate--l+ clear-num sum-log flip-- flip-+
Counts
4 → 149
Calls
4 calls:
6.0ms
(* 36.527041698806414 (/ y z))
5.0ms
(- (+ (* 3.13060547623 y) (* t (/ y (pow z 2)))) (* 36.527041698806414 (/ y z)))
10.0ms
(* t (/ y (pow z 2)))
5.0ms
(/ y (pow z 2))

series29.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 36.527041698806414 (/ y z))
13.0ms
(- (+ (* 3.13060547623 y) (* t (/ y (pow z 2)))) (* 36.527041698806414 (/ y z)))
8.0ms
(* t (/ y (pow z 2)))
5.0ms
(/ y (pow z 2))

simplify81.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0599900
12977812
25001803

prune183.0ms

Filtered
107 candidates to 161 candidates (-50.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh044
Picked011
Done011
Total1616167

Merged error: 0.0b

Counts
167 → 6

regimes971.0ms

Accuracy

97.6% (0.6b remaining)

Error of 1.2b against oracle of 0.6b and baseline of 26.0b

bsearch78.0ms

Steps
ItersRangePoint
7
4.377984398649651e+38
7.329023840658455e+40
5.189779441945365e+40
10
-6.262921162521363e+50
-1.3259401395510453e+39
-3.2600310608812286e+41

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07127
17127

end0.0ms

sample7.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 5.029297%

Guaranteed chance to sample good point: 15.318123%

Results
766.0ms8000×body80valid
93.0ms924×body80invalid

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