Details

Time bar (total: 5.3s)

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

sample39.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
3.0ms30×body80invalid

simplify62.0ms

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: 30.7b

Counts
2 → 2

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
0.1b
(* z (+ (* z 3.13060547623) 11.1667541262))
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)))
29.7b
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite73.0ms

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))
7.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
26.0ms
(* 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))

series201.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
6.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
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)))
52.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify57.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050963335

prune291.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1165121
Fresh101
Picked011
Done000
Total1176123

Merged error: 0.0b

Counts
123 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) 36.527041698806414)
0.0b
(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
0.0b
(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
1.2b
(* (/ y z) (- (/ t z) 36.527041698806414))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
18×*-un-lft-identity
13×associate-*l* add-log-exp
12×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
pow1 associate-*r*
sub-neg
sum-log difference-of-squares
associate-+r+ flip3-- flip--
+-commutative distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ distribute-lft-out-- unswap-sqr
cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out
Counts
4 → 82
Calls
4 calls:
7.0ms
(- (/ t z) 36.527041698806414)
6.0ms
(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
5.0ms
(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
12.0ms
(* (/ y z) (- (/ t z) 36.527041698806414))

series46.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- (/ t z) 36.527041698806414)
20.0ms
(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
11.0ms
(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
12.0ms
(* (/ y z) (- (/ t z) 36.527041698806414))

simplify24.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
051571230

prune134.0ms

Filtered
71 candidates to 94 candidates (-32.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New92294
Fresh134
Picked011
Done011
Total937100

Merged error: 0.0b

Counts
100 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y (+ (/ t (* z z)) 3.13060547623)) x)
3.2b
(* y (+ (/ t (* z z)) 3.13060547623))
6.3b
(/ t (* z z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
pow1 add-log-exp
associate-*r*
times-frac associate-*l* associate-/l*
cbrt-undiv distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ div-exp prod-exp cbrt-unprod flip-+
+-commutative frac-2neg pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv distribute-lft-out unswap-sqr
Counts
3 → 57
Calls
3 calls:
10.0ms
(+ (* y (+ (/ t (* z z)) 3.13060547623)) x)
9.0ms
(* y (+ (/ t (* z z)) 3.13060547623))
4.0ms
(/ t (* z z))

series32.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (* y (+ (/ t (* z z)) 3.13060547623)) x)
13.0ms
(* y (+ (/ t (* z z)) 3.13060547623))
5.0ms
(/ t (* z z))

simplify45.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04970646
14970646

prune92.0ms

Filtered
44 candidates to 66 candidates (-50.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New64266
Fresh134
Picked101
Done022
Total66773

Merged error: 0b

Counts
73 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y (+ (* (/ 1 z) (/ t z)) 3.13060547623)) x)
0.2b
(* (/ 1 z) (/ t z))
3.2b
(* y (+ (* (/ 1 z) (/ t z)) 3.13060547623))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
17×add-cbrt-cube
16×associate-*r* associate-*l*
prod-exp
div-exp
pow1 unswap-sqr
cbrt-unprod add-log-exp
cbrt-undiv
associate-*r/
distribute-rgt-in rec-exp associate-+l+ distribute-lft-in flip3-+ 1-exp pow-prod-down *-commutative flip-+ div-inv
+-commutative frac-times associate-*l/ sum-log
Counts
3 → 91
Calls
3 calls:
10.0ms
(+ (* y (+ (* (/ 1 z) (/ t z)) 3.13060547623)) x)
10.0ms
(* (/ 1 z) (/ t z))
10.0ms
(* y (+ (* (/ 1 z) (/ t z)) 3.13060547623))

series30.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (* y (+ (* (/ 1 z) (/ t z)) 3.13060547623)) x)
3.0ms
(* (/ 1 z) (/ t z))
13.0ms
(* y (+ (* (/ 1 z) (/ t z)) 3.13060547623))

simplify50.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05148906

prune100.0ms

Filtered
66 candidates to 100 candidates (-51.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh044
Picked011
Done022
Total1007107

Merged error: 0b

Counts
107 → 7

regimes786.0ms

Accuracy

97.5% (0.6b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 26.6b

bsearch53.0ms

Steps
ItersRangePoint
8
2.800301856053816e+20
1.0266758835716107e+23
1.0141893033594928e+23
7
-3.131859926865724e+41
-4.7671888557920185e+39
-1.0133727863744444e+40

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08573
18573

end0.0ms

sample1.1s

Algorithm
intervals
Results
688.0ms8000×body80valid
72.0ms870×body80invalid

Profiling

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