Details

Time bar (total: 5.6s)

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

sample43.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
3.0ms34×body80invalid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
0491437
1491437

prune15.0ms

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: 29.2b

Counts
2 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
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)))
28.3b
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite76.0ms

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:
13.0ms
(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
7.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
27.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
26.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series205.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
6.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
135.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
51.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify58.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049543425
149543425

prune320.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1147121
Fresh101
Picked101
Done000
Total1167123

Merged error: 0.5b

Counts
123 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))
0.1b
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
1.7b
(* y (/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
2.3b
(/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
35×add-sqr-sqrt
26×add-cube-cbrt
25×times-frac
24×associate-*r*
15×add-exp-log add-cbrt-cube
10×pow1
9×associate-*l*
7×distribute-lft-out
5×flip3-+ associate-*r/ flip-+
4×prod-exp associate-/r/ cbrt-unprod associate-/l* add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp div-inv associate-/l/
1×frac-2neg clear-num
Counts
4 → 116
Calls
4 calls:
13.0ms
(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))
10.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
20.0ms
(* y (/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
18.0ms
(/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series114.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))
4.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
66.0ms
(* y (/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
39.0ms
(/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify67.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049122442
149122442

prune433.0ms

Filtered
94 candidates to 128 candidates (-36.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1280128
Fresh066
Picked011
Done000
Total1287135

Merged error: 0.5b

Counts
135 → 7

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))
3.3b
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
7.1b
(/ t (* z z))

rewrite49.0ms

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:
16.0ms
(+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))
11.0ms
(- (/ t (* z z)) (/ 36.527041698806414 z))
16.0ms
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
4.0ms
(/ t (* z z))

series34.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))
8.0ms
(- (/ t (* z z)) (/ 36.527041698806414 z))
15.0ms
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
5.0ms
(/ t (* z z))

simplify63.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049111077
149111077

prune115.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh055
Picked011
Done011
Total90797

Merged error: 0.5b

Counts
97 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

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

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 (* b (* y 1.6453555072203998)))
5.0ms
(* b (* y 1.6453555072203998))

series11.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ x (* b (* y 1.6453555072203998)))
4.0ms
(* b (* y 1.6453555072203998))

simplify42.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05066260

prune38.0ms

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

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New35035
Fresh044
Picked011
Done022
Total35742

Merged error: 0.5b

Counts
42 → 7

regimes738.0ms

Accuracy

96.3% (0.8b remaining)

Error of 1.2b against oracle of 0.4b and baseline of 22.3b

bsearch61.0ms

Steps
ItersRangePoint
9
196741883.611885
3.926714304056857e+16
3625173518228817.5
8
-2.2427543013096124e+55
-1.2924481167844162e+51
-2.7783616533488945e+51

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08663
18663

end0.0ms

sample1.1s

Algorithm
intervals
Results
694.0ms8000×body80valid
74.0ms865×body80invalid

Profiling

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