Details

Time bar (total: 13.8s)

analyze2.0s

Algorithm
search

sample40.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
2.0ms29×body80invalid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 28.2b

Counts
2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.2b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.0b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite59.0ms

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 3.13060547623) 11.1667541262) z) t) 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))

series202.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
6.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
49.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
141.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify78.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05761201
127971026
250011026

prune247.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New90999
Fresh000
Picked101
Done000
Total919100

Merged error: 3.0b

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:
2.0ms
(+ x (* 1.6453555072203998 (* y b)))
5.0ms
(* 1.6453555072203998 (* y b))

series11.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ x (* 1.6453555072203998 (* y b)))
4.0ms
(* 1.6453555072203998 (* y b))

simplify71.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune101.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New30535
Fresh178
Picked101
Done000
Total321244

Merged error: 3.0b

Counts
44 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
3.9b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.9b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.9b
(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

series143.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
33.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
35.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
34.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify102.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
02731057
1888992
23673911
35002887

prune281.0ms

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

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New92799
Fresh2911
Picked101
Done000
Total9516111

Merged error: 3.0b

Counts
111 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

3.9b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.9b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.9b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.9b
(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

series135.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
33.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
36.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
33.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify57.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0152564
1411528
21517496
35002476

prune251.0ms

Filtered
52 candidates to 64 candidates (-23.1%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New62264
Fresh11415
Picked101
Done000
Total641680

Merged error: 3.0b

Counts
80 → 16

regimes1.5s

Accuracy

92.8% (1.8b remaining)

Error of 4.6b against oracle of 2.8b and baseline of 27.4b

bsearch5.2s

Steps
ItersRangePoint
8
4.6798794371565995
1283.7786064769252
1267.6111661047282
7
-5.932654326360912e+71
-3.4164507083125847e+69
-5.4663578269140185e+69

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07227
17227

end0.0ms

analyze1.9s

Algorithm
search

sample1.2s

Algorithm
intervals
Results
809.0ms8000×body80valid
90.0ms920×body80invalid

Profiling

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