Details

Time bar (total: 14.9s)

analyze1.9s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
0.8%98.9%0.3%13
1.2%98.5%0.3%14

sample40.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
2.0ms24×body80invalid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
0491437
1491437

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.9b

Counts
2 → 2

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* z 3.13060547623) 11.1667541262))
0.1b
(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
0.1b
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
28.0b
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
21×associate-*r*
19×times-frac
15×add-exp-log add-cbrt-cube
10×pow1
9×associate-*l*
5×flip3-+ associate-*r/ flip-+
4×prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp div-inv associate-/l/
1×frac-2neg clear-num
Counts
4 → 109
Calls
4 calls:
7.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
12.0ms
(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
25.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
25.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series198.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
11.0ms
(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
131.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
50.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify69.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049753425
149753425

prune326.0ms

Filtered
92 candidates to 121 candidates (-31.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1156121
Fresh011
Picked101
Done000
Total1167123

Merged error: 0.4b

Counts
123 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t (* z z)) (/ 36.527041698806414 z))
0.0b
(+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))
3.8b
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
5.3b
(/ t (* z z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
11×add-exp-log add-cbrt-cube add-log-exp
8×add-cube-cbrt
7×times-frac
6×pow1
5×associate-*r*
4×distribute-lft-out difference-of-squares
3×associate-*l* associate-/l* distribute-lft-out--
2×cbrt-undiv sub-neg flip3-+ diff-log associate-*r/ div-exp prod-exp sum-log cbrt-unprod flip-+
1×+-commutative distribute-rgt-in associate-+r- associate-+r+ flip3-- frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative frac-sub flip-- div-inv unswap-sqr
Counts
4 → 78
Calls
4 calls:
10.0ms
(- (/ t (* z z)) (/ 36.527041698806414 z))
12.0ms
(+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))
15.0ms
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
4.0ms
(/ t (* z z))

series34.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (/ t (* z z)) (/ 36.527041698806414 z))
6.0ms
(+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))
15.0ms
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
5.0ms
(/ t (* z z))

simplify42.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
052021075

prune144.0ms

Filtered
63 candidates to 90 candidates (-42.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New87390
Fresh066
Picked011
Done000
Total871097

Merged error: 0.3b

Counts
97 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ t (* z z))
16.2b
(cbrt (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))))
16.2b
(cbrt (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))))
16.2b
(cbrt (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
15×cbrt-prod
10×cbrt-div
9×add-exp-log add-sqr-sqrt add-cube-cbrt add-cbrt-cube
6×distribute-lft-out
4×pow1 frac-add add-log-exp
3×flip3-+ times-frac pow1/3 flip-+ associate-/l* distribute-lft-out--
2×cbrt-undiv flip3-- div-exp flip--
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
5.0ms
(/ t (* z z))
11.0ms
(cbrt (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))))
11.0ms
(cbrt (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))))
12.0ms
(cbrt (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))

series290.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ t (* z z))
75.0ms
(cbrt (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))))
133.0ms
(cbrt (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))))
76.0ms
(cbrt (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049451299
149451299

prune236.0ms

Filtered
66 candidates to 82 candidates (-24.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New81182
Fresh088
Picked101
Done011
Total821092

Merged error: 0.3b

Counts
92 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

16.2b
(cbrt (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
16.2b
(cbrt (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
16.2b
(cbrt (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))))
16.2b
(cbrt (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
20×cbrt-prod
12×cbrt-div
8×add-sqr-sqrt add-cube-cbrt distribute-lft-out
4×pow1 add-exp-log flip3-+ pow1/3 frac-add add-cbrt-cube flip-+ distribute-lft-out-- add-log-exp
2×flip3-- flip--
Counts
4 → 64
Calls
4 calls:
12.0ms
(cbrt (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
14.0ms
(cbrt (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
11.0ms
(cbrt (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))))
11.0ms
(cbrt (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))))

series306.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(cbrt (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
77.0ms
(cbrt (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
77.0ms
(cbrt (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))))
76.0ms
(cbrt (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))))

simplify74.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
051061468

prune299.0ms

Filtered
64 candidates to 76 candidates (-18.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New75176
Fresh088
Picked101
Done011
Total761086

Merged error: 0.3b

Counts
86 → 10

regimes1.3s

Accuracy

97.2% (0.8b remaining)

Error of 1.2b against oracle of 0.4b and baseline of 27.9b

bsearch6.2s

Steps
ItersRangePoint
8
3.0413315041420025e+34
9.957098760777617e+37
3.4849124286894035e+37
10
-1.2089140122644517e+36
-9.024021791733586e+21
-1.0110210441160586e+36

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07381
17381

end0.0ms

analyze1.9s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
0.8%98.9%0.3%13
1.2%98.5%0.3%14

sample1.1s

Algorithm
intervals
Results
704.0ms8000×body80valid
77.0ms877×body80invalid

Profiling

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