Details

Time bar (total: 5.5s)

sample48.0ms

Algorithm
intervals
Results
27.0ms285×body80valid

simplify58.0ms

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: 29.7b

Counts
2 → 1

localize25.0ms

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)
2.4b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.6b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite64.0ms

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:
9.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
16.0ms
(* 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))

series719.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
68.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
165.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
450.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify80.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
05871179
12851995
25002995

prune424.0ms

Filtered
99 candidates to 70 candidates (70.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New90999
Fresh000
Picked101
Done000
Total919100

Merged error: 3.6b

Counts
100 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1.6453555072203998 (* y b)))
0.2b
(* 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:
41.0ms
(+ x (* 1.6453555072203998 (* y b)))
20.0ms
(* 1.6453555072203998 (* y b))

simplify71.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune100.0ms

Filtered
35 candidates to 22 candidates (62.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New31435
Fresh178
Picked101
Done000
Total331144

Merged error: 3.6b

Counts
44 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
0.2b
(* (sqrt 1.6453555072203998) (* y b))
0.3b
(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
5×add-log-exp
2×associate-*r* *-commutative
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 56
Calls
3 calls:
3.0ms
(+ x (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
6.0ms
(* (sqrt 1.6453555072203998) (* y b))
9.0ms
(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(+ x (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
43.0ms
(* (sqrt 1.6453555072203998) (* y b))
77.0ms
(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))

simplify43.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0222357
1944282
25001282

prune155.0ms

Filtered
65 candidates to 40 candidates (61.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New62365
Fresh1910
Picked101
Done000
Total641276

Merged error: 3.6b

Counts
76 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))) (cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))))
10.9b
(cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
10.9b
(cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
10.9b
(cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
11.0ms
(* (cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))) (cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))))
7.0ms
(cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
7.0ms
(cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
6.0ms
(cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))

series922.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(* (cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))) (cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))))
223.0ms
(cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
218.0ms
(cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
216.0ms
(cbrt (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))

simplify131.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
0210719
1808615
24355538
35002530

prune204.0ms

Filtered
70 candidates to 55 candidates (78.6%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New67370
Fresh11011
Picked101
Done000
Total691382

Merged error: 3.6b

Counts
82 → 13

regimes685.0ms

Accuracy

93.8% (1.4b remaining)

Error of 4.8b against oracle of 3.4b and baseline of 26.4b

bsearch301.0ms

Steps
ItersRangePoint
9
1.7713881511092581e+50
2.2217252744720032e+58
7.715688465074608e+56
9
-4.832893667024464e+27
-1.3595131900901314e+21
-4.780183442892251e+27

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07127
17127

end0.0ms

sample1.1s

Algorithm
intervals
Results
748.0ms8862×body80valid