Details

Time bar (total: 4.7s)

analyze517.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%74.9%25.1%5
0%74.9%25.1%6
0%74.9%25.1%7
6.2%56.2%37.6%8
7.8%53%39.2%9
10.9%45.6%43.4%10
18.3%31.4%50.3%11
19.1%29.5%51.3%12
21.4%24.8%53.8%13
25.8%16.7%57.5%14

sample56.0ms

Algorithm
intervals
Results
33.0ms256×body80valid
5.0ms35×body80invalid
2.0ms20×body80nan

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03712
18412
224512
358112
4128012
5246212
6500112

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.8b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b
(* (- x 0.5) (log x))
0.2b
(- (* (- x 0.5) (log x)) x)
4.3b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
12×log-prod
10×add-exp-log add-cbrt-cube
9×pow1 times-frac
8×associate-*l*
7×associate-*r*
6×distribute-rgt-in distribute-lft-in associate--l+ add-log-exp
4×associate-*l/
3×flip3-- associate-/r* flip-- associate-/l*
2×pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num log-pow flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
11.0ms
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
7.0ms
(* (- x 0.5) (log x))
7.0ms
(- (* (- x 0.5) (log x)) x)
11.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series92.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
24.0ms
(* (- x 0.5) (log x))
36.0ms
(- (* (- x 0.5) (log x)) x)
23.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0515836
11825762
25003724

prune236.0ms

Filtered
78 candidates to 108 candidates (-38.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New9612108
Fresh000
Picked101
Done000
Total9712109

Merged error: 3.3b

Counts
109 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.3b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 62
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series93.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
25.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify98.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0231498
1697460
23102429
35001426

prune170.0ms

Filtered
59 candidates to 74 candidates (-25.4%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New72274
Fresh2911
Picked101
Done000
Total751186

Merged error: 3.3b

Counts
86 → 11

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
4.3b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.1b
(pow x 1/3)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-exp-log
6×cbrt-prod add-cbrt-cube
5×pow1
4×add-log-exp
3×unpow-prod-down pow-unpow associate-/r* associate-/l*
2×pow1/3 associate-/l/
1×cbrt-undiv pow-to-exp pow-pow frac-2neg flip3-+ unpow1/3 div-exp pow-exp clear-num flip-+ div-inv sqr-pow
Counts
4 → 69
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
12.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
2.0ms
(pow x 1/3)

series89.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
20.0ms
(pow x 1/3)

simplify39.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0283499
11126444
25001409

prune203.0ms

Filtered
60 candidates to 81 candidates (-35.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New81081
Fresh01010
Picked011
Done000
Total811192

Merged error: 3.3b

Counts
92 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b
(* (- x 0.5) (log x))
0.2b
(- (* (- x 0.5) (log x)) x)
4.5b
(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
23×*-un-lft-identity
20×add-cube-cbrt associate-*r*
17×add-exp-log
13×add-cbrt-cube
12×log-prod
11×pow1 times-frac associate-*l*
6×distribute-rgt-in distribute-lft-in associate-*l/ prod-exp associate--l+ add-log-exp
5×unswap-sqr
4×cbrt-unprod
3×flip3-- pow-prod-down *-commutative flip--
2×frac-times flip3-+ div-exp flip-+
1×cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ log-pow un-div-inv div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 107
Calls
4 calls:
9.0ms
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
7.0ms
(* (- x 0.5) (log x))
7.0ms
(- (* (- x 0.5) (log x)) x)
15.0ms
(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

series105.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
22.0ms
(* (- x 0.5) (log x))
52.0ms
(- (* (- x 0.5) (log x)) x)
23.0ms
(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

simplify80.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0623927
12559834
25002784

prune185.0ms

Filtered
83 candidates to 119 candidates (-43.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1181119
Fresh189
Picked101
Done011
Total12010130

Merged error: 3.3b

Counts
130 → 10

regimes743.0ms

Accuracy

71.8% (0.3b remaining)

Error of 5.2b against oracle of 4.9b and baseline of 6.0b

bsearch201.0ms

Steps
ItersRangePoint
7
1.4761333725410313e+198
8.185895355132747e+199
1.5033951357296803e+198

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06142
16142

end0.0ms

analyze465.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%74.9%25.1%5
0%74.9%25.1%6
0%74.9%25.1%7
6.2%56.2%37.6%8
7.8%53%39.2%9
10.9%45.6%43.4%10
18.3%31.4%50.3%11
19.1%29.5%51.3%12
21.4%24.8%53.8%13
25.8%16.7%57.5%14

sample1.0s

Algorithm
intervals
Results
635.0ms8000×body80valid
97.0ms1192×body80invalid
51.0ms719×body80nan

Profiling

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