Details

Time bar (total: 16.3s)

sample5.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 34.838867%

Results
23.0ms256×body80valid
3.0ms29×body80invalid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.2b

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)
2.2b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.2b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite69.0ms

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)
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
16.0ms
(* 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))

series212.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (+ (* (+ (* (+ (* 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))
144.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify85.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05731240
128061065
250011065

prune247.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New91899
Fresh000
Picked011
Done000
Total919100

Merged error: 2.7b

Counts
100 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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))

series14.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ x (* 1.6453555072203998 (* y b)))
4.0ms
(* 1.6453555072203998 (* y b))

simplify75.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune87.0ms

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

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New32335
Fresh167
Picked011
Done011
Total331144

Merged error: 2.7b

Counts
44 → 11

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))))

rewrite17.0ms

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))))

series144.0ms

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))))
34.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
36.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify108.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
02731057
1888992
23673911
35002887

prune266.0ms

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

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New94599
Fresh178
Picked101
Done112
Total9713110

Merged error: 2.7b

Counts
110 → 13

localize16.0ms

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))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

series136.0ms

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))))
34.0ms
(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

prune264.0ms

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

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New62264
Fresh11011
Picked101
Done011
Total641377

Merged error: 2.7b

Counts
77 → 13

regimes1.5s

Accuracy

94.2% (1.4b remaining)

Error of 4.5b against oracle of 3.2b and baseline of 26.4b

bsearch72.0ms

Steps
ItersRangePoint
10
1.26212821196762e+50
3.884464804506573e+61
2.779881839832169e+50
5
-6.266923775537014e+64
-2.2865394705069823e+64
-2.5555549218479327e+64

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07127
17127

end0.0ms

sample7.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 34.838867%

Results
751.0ms8000×body80valid
83.0ms926×body80invalid

Profiling

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