Details

Time bar (total: 8.5s)

sample61.0ms

Algorithm
intervals
Results
27.0ms282×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03037
15537
211537
324237
460337
5159437
6333037
done500037

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.5b

Counts
2 → 1

localize36.0ms

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) t) z)
2.4b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
30.7b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite73.0ms

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:
10.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
12.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
18.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
31.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series239.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
7.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
61.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
167.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify682.0ms

Counts
99 → 99
Iterations

Useful iterations: done (678.0ms)

IterNodesCost
02082537
15972521
223092148
done50002137

prune552.0ms

Filtered
71 candidates to 99 candidates (-39.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New891099
Fresh000
Picked101
Done000
Total9010100

Merged error: 2.7b

Counts
100 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 3.13060547623 y) (/ (* t y) (pow z 2)))
0.2b
(* 36.527041698806414 (/ y z))
2.1b
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
14.2b
(/ (* t y) (pow z 2))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
21×add-sqr-sqrt
18×times-frac
16×add-cube-cbrt *-un-lft-identity
14×add-cbrt-cube
13×associate-*r*
11×add-log-exp
8×associate-/r*
7×div-exp
6×pow1 unpow-prod-down
5×prod-exp
3×cbrt-undiv associate-*r/ associate-*l* cbrt-unprod
2×pow-to-exp flip3-+ diff-log pow-exp sum-log frac-sub flip-+ div-inv unpow2 unswap-sqr sqr-pow
1×+-commutative sub-neg flip3-- frac-2neg pow-prod-down associate--l+ clear-num *-commutative flip-- associate-/l*
Counts
4 → 94
Calls
4 calls:
7.0ms
(+ (* 3.13060547623 y) (/ (* t y) (pow z 2)))
7.0ms
(* 36.527041698806414 (/ y z))
10.0ms
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
7.0ms
(/ (* t y) (pow z 2))

series48.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ (* 3.13060547623 y) (/ (* t y) (pow z 2)))
4.0ms
(* 36.527041698806414 (/ y z))
22.0ms
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
10.0ms
(/ (* t y) (pow z 2))

simplify521.0ms

Counts
106 → 106
Iterations

Useful iterations: done (518.0ms)

IterNodesCost
01841485
14861366
218441252
done50001249

prune218.0ms

Filtered
75 candidates to 106 candidates (-41.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1033106
Fresh279
Picked011
Done000
Total10511116

Merged error: 0.5b

Counts
116 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 3.13060547623 y) (* (/ t z) (/ y z)))
0.2b
(* 36.527041698806414 (/ y z))
2.1b
(- (+ (* 3.13060547623 y) (* (/ t z) (/ y z))) (* 36.527041698806414 (/ y z)))
4.5b
(* (/ t z) (/ y z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
32×times-frac
26×add-cube-cbrt *-un-lft-identity associate-*r*
21×add-exp-log add-cbrt-cube
16×associate-*l*
11×add-log-exp
8×pow1
6×prod-exp cbrt-unprod unswap-sqr
5×cbrt-undiv div-exp
4×associate-*r/
3×div-inv
2×flip3-+ diff-log pow-prod-down sum-log *-commutative frac-sub flip-+
1×+-commutative frac-times sub-neg flip3-- associate-*l/ associate--l+ flip--
Counts
4 → 109
Calls
4 calls:
4.0ms
(+ (* 3.13060547623 y) (* (/ t z) (/ y z)))
7.0ms
(* 36.527041698806414 (/ y z))
7.0ms
(- (+ (* 3.13060547623 y) (* (/ t z) (/ y z))) (* 36.527041698806414 (/ y z)))
12.0ms
(* (/ t z) (/ y z))

series40.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ (* 3.13060547623 y) (* (/ t z) (/ y z)))
4.0ms
(* 36.527041698806414 (/ y z))
15.0ms
(- (+ (* 3.13060547623 y) (* (/ t z) (/ y z))) (* 36.527041698806414 (/ y z)))
8.0ms
(* (/ t z) (/ y z))

simplify684.0ms

Counts
121 → 121
Iterations

Useful iterations: done (680.0ms)

IterNodesCost
01921661
15751501
223091384
done50001356

prune183.0ms

Filtered
89 candidates to 121 candidates (-36.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1201121
Fresh189
Picked011
Done011
Total12111132

Merged error: 0.5b

Counts
132 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (/ y z) (- (/ t z) 36.527041698806414))
11.8b
(cbrt (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
11.8b
(cbrt (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
11.8b
(cbrt (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
17×*-un-lft-identity
15×add-cube-cbrt
13×associate-*l*
11×times-frac
9×add-exp-log cbrt-prod add-cbrt-cube
6×pow1 cbrt-div associate-*r*
4×add-log-exp
3×flip3-+ pow1/3 flip-+
2×distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out--
Counts
4 → 82
Calls
4 calls:
14.0ms
(* (/ y z) (- (/ t z) 36.527041698806414))
4.0ms
(cbrt (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
4.0ms
(cbrt (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
4.0ms
(cbrt (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (/ y z) (- (/ t z) 36.527041698806414))
52.0ms
(cbrt (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
45.0ms
(cbrt (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
52.0ms
(cbrt (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))

simplify497.0ms

Counts
94 → 94
Iterations

Useful iterations: done (493.0ms)

IterNodesCost
01701941
14351871
215061734
done50021643

prune261.0ms

Filtered
80 candidates to 94 candidates (-17.5%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New93194
Fresh088
Picked011
Done022
Total9312105

Merged error: 0.5b

Counts
105 → 12

regimes1.1s

Accuracy

96.8% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 26.0b

bsearch55.0ms

Steps
ItersRangePoint
4
4.470536215843088e+55
7.641280087483801e+55
4.52685173750822e+55
7
-9.385494182443387e+61
-1.5762786805130549e+60
-7.607249009004601e+60

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04583
17065
done7065

end0.0ms

sample1.6s

Algorithm
intervals
Results
915.0ms8874×body80valid

Profiling

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