Details

Time bar (total: 6.3s)

analyze2.2s

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
21.0ms256×body80valid
3.0ms32×body80invalid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
0491437
1491437

prune18.0ms

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: 28.7b

Counts
2 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
0.1b
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
0.2b
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
27.8b
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite81.0ms

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
associate-*l*
flip3-+ associate-*r/ flip-+
prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
pow-prod-down associate-/r* *-commutative associate-/l*
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp div-inv associate-/l/
frac-2neg clear-num
Counts
4 → 109
Calls
4 calls:
10.0ms
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
10.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
30.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
27.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series197.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
4.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
138.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
49.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify59.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050083389

prune317.0ms

Filtered
90 candidates to 121 candidates (-34.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1147121
Fresh011
Picked101
Done000
Total1158123

Merged error: 0.2b

Counts
123 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ t z) 36.527041698806414)
0.0b
(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
0.8b
(* (/ y z) (- (/ t z) 36.527041698806414))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
15×*-un-lft-identity
13×associate-*l*
12×times-frac
11×add-cube-cbrt
add-exp-log add-cbrt-cube
add-log-exp
associate-*r*
pow1 sub-neg
difference-of-squares
flip3-- flip--
distribute-rgt-in frac-times associate-+r+ distribute-lft-in associate-*r/ prod-exp cbrt-unprod distribute-lft-out-- unswap-sqr
cbrt-undiv +-commutative flip3-+ diff-log div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
3 → 68
Calls
3 calls:
7.0ms
(- (/ t z) 36.527041698806414)
5.0ms
(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
12.0ms
(* (/ y z) (- (/ t z) 36.527041698806414))

series25.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- (/ t z) 36.527041698806414)
12.0ms
(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
10.0ms
(* (/ y z) (- (/ t z) 36.527041698806414))

simplify53.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05282917

prune126.0ms

Filtered
57 candidates to 77 candidates (-35.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh077
Picked011
Done000
Total76985

Merged error: 0.2b

Counts
85 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ y z) (* (cbrt (- (/ t z) 36.527041698806414)) (cbrt (- (/ t z) 36.527041698806414))))
5.5b
(cbrt (- (/ t z) 36.527041698806414))
5.5b
(cbrt (- (/ t z) 36.527041698806414))
5.5b
(cbrt (- (/ t z) 36.527041698806414))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×cbrt-div
20×*-un-lft-identity
18×cbrt-prod
16×add-exp-log frac-times
15×flip3-- flip--
14×add-cube-cbrt
13×times-frac associate-*l*
12×associate-*r/ add-cbrt-cube
pow1
prod-exp cbrt-unprod difference-of-squares
associate-*l/
add-log-exp
pow1/3 pow-prod-down distribute-lft-out--
cbrt-undiv div-exp unswap-sqr
associate-*r* *-commutative div-inv
Counts
4 → 99
Calls
4 calls:
23.0ms
(* (/ y z) (* (cbrt (- (/ t z) 36.527041698806414)) (cbrt (- (/ t z) 36.527041698806414))))
6.0ms
(cbrt (- (/ t z) 36.527041698806414))
6.0ms
(cbrt (- (/ t z) 36.527041698806414))
6.0ms
(cbrt (- (/ t z) 36.527041698806414))

series144.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (/ y z) (* (cbrt (- (/ t z) 36.527041698806414)) (cbrt (- (/ t z) 36.527041698806414))))
35.0ms
(cbrt (- (/ t z) 36.527041698806414))
33.0ms
(cbrt (- (/ t z) 36.527041698806414))
34.0ms
(cbrt (- (/ t z) 36.527041698806414))

simplify65.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049711587
149711587

prune254.0ms

Filtered
87 candidates to 111 candidates (-27.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh077
Picked101
Done011
Total1119120

Merged error: 0.2b

Counts
120 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))
0.0b
(- (/ t (* z z)) (/ 36.527041698806414 z))
4.1b
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
8.2b
(/ t (* z z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
11×add-exp-log add-cbrt-cube add-log-exp
add-cube-cbrt
times-frac
pow1
associate-*r*
distribute-lft-out difference-of-squares
associate-*l* associate-/l* distribute-lft-out--
cbrt-undiv sub-neg flip3-+ diff-log associate-*r/ div-exp prod-exp sum-log cbrt-unprod flip-+
+-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:
15.0ms
(+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))
10.0ms
(- (/ t (* z z)) (/ 36.527041698806414 z))
15.0ms
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
4.0ms
(/ t (* z z))

series33.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))
7.0ms
(- (/ t (* z z)) (/ 36.527041698806414 z))
15.0ms
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
5.0ms
(/ t (* z z))

simplify66.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049111077
149111077

prune92.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh077
Picked011
Done011
Total90999

Merged error: 0.2b

Counts
99 → 9

regimes1.1s

Accuracy

97.6% (0.6b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 26.0b

bsearch62.0ms

Steps
ItersRangePoint
10
5.620414243873314e+30
3.80051200698073e+43
3.9454055562628624e+34
7
-2.734910243781476e+57
-5.489822769844975e+55
-6.890202086820534e+55

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09882
19882

end0.0ms

sample1.1s

Algorithm
intervals
Results
684.0ms8000×body80valid
72.0ms879×body80invalid

Profiling

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