Details

Time bar (total: 5.7s)

sample49.0ms

Algorithm
intervals
Results
27.0ms273×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.2b

Counts
2 → 1

localize24.0ms

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)
0.8b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.5b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite68.0ms

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:
13.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
8.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
15.0ms
(* 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))

series765.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
67.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
170.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
456.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify96.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
05731240
128061065
250011065

prune416.0ms

Filtered
99 candidates to 72 candidates (72.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New91899
Fresh000
Picked101
Done000
Total928100

Merged error: 2.4b

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:
3.0ms
(+ x (* 1.6453555072203998 (* y b)))
5.0ms
(* 1.6453555072203998 (* y b))

series60.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* 1.6453555072203998 (* y b)))
25.0ms
(* 1.6453555072203998 (* y b))

simplify76.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune98.0ms

Filtered
35 candidates to 22 candidates (62.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New31435
Fresh167
Picked101
Done000
Total331043

Merged error: 2.4b

Counts
43 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×associate-*l*
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-prod
2×associate-*r* *-commutative
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 60
Calls
3 calls:
3.0ms
(+ x (* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b))))
12.0ms
(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b)))
6.0ms
(* (cbrt 1.6453555072203998) (* y b))

series207.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(+ x (* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b))))
67.0ms
(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b)))
51.0ms
(* (cbrt 1.6453555072203998) (* y b))

simplify50.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0251516
11008396
25002368

prune141.0ms

Filtered
69 candidates to 37 candidates (53.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New67269
Fresh189
Picked011
Done000
Total681179

Merged error: 2.4b

Counts
79 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* y b)))))
0.3b
(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* y b))))
0.4b
(* (cbrt (sqrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* y b)))
0.5b
(* (cbrt (sqrt 1.6453555072203998)) (* y b))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1 add-exp-log
33×pow-prod-down prod-exp cbrt-unprod
25×add-cbrt-cube
19×associate-*l*
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod add-log-exp
3×associate-*r* *-commutative
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 96
Calls
4 calls:
3.0ms
(+ x (* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* y b)))))
16.0ms
(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* y b))))
10.0ms
(* (cbrt (sqrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* y b)))
6.0ms
(* (cbrt (sqrt 1.6453555072203998)) (* y b))

series1.1s

Counts
4 → 12
Calls
4 calls:
387.0ms
(+ x (* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* y b)))))
321.0ms
(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* y b))))
239.0ms
(* (cbrt (sqrt 1.6453555072203998)) (* (cbrt (sqrt 1.6453555072203998)) (* y b)))
173.0ms
(* (cbrt (sqrt 1.6453555072203998)) (* y b))

simplify66.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
03661086
11689852
25001754

prune226.0ms

Filtered
108 candidates to 61 candidates (56.5%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1062108
Fresh279
Picked011
Done011
Total10811119

Merged error: 2.4b

Counts
119 → 11

regimes623.0ms

Accuracy

94.3% (1.4b remaining)

Error of 4.4b against oracle of 3.1b and baseline of 26.7b

bsearch314.0ms

Steps
ItersRangePoint
12
3.2724759399784516e+32
7.17439829271071e+73
1.3509533032690389e+43
7
-1.4103997134765324e+57
-1.1354868634949837e+55
-1.1853779817811132e+55

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07127
17127

end0.0ms

sample1.1s

Algorithm
intervals
Results
773.0ms8890×body80valid

Profiling

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