Details

Time bar (total: 2.8s)

sample30.0ms

Algorithm
intervals
Results
16.0ms294×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1314
2734
31514
42414
53264
63974
74574
84774
94804
104804

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.2b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
45×*-un-lft-identity
41×add-cube-cbrt
39×prod-diff
29×times-frac
10×pow1 add-exp-log add-cbrt-cube
7×associate-*l*
6×associate-*r* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×expm1-log1p-u flip3-- fma-neg flip-- log1p-expm1-u div-inv
2×*-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 106
Calls
3 calls:
7.0ms
(- x (/ 16.0 116.0))
12.0ms
(* (- x (/ 16.0 116.0)) 3.0)
10.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series98.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(- x (/ 16.0 116.0))
41.0ms
(* (- x (/ 16.0 116.0)) 3.0)
35.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify57.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05101245
11827864
25001783

prune142.0ms

Filtered
115 candidates to 60 candidates (52.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1087115
Fresh000
Picked011
Done000
Total1088116

Merged error: 0b

Counts
116 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
39×prod-diff
38×add-cube-cbrt
29×times-frac
7×pow1 add-exp-log add-cbrt-cube
6×associate-*l*
4×add-log-exp difference-of-squares
3×fma-neg pow-prod-down prod-exp cbrt-unprod div-inv
2×expm1-log1p-u flip3-- associate-*l/ flip-- log1p-expm1-u distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 84
Calls
2 calls:
7.0ms
(- x (/ 16.0 116.0))
10.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series62.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- x (/ 16.0 116.0))
35.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify54.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04741133
11545766
25002685

prune98.0ms

Filtered
90 candidates to 41 candidates (45.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh066
Picked011
Done011
Total90898

Merged error: 0b

Counts
98 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
9.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series750.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt y) (cbrt y))
184.0ms
(cbrt y)
200.0ms
(cbrt y)
172.0ms
(cbrt y)

simplify94.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune199.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh055
Picked011
Done022
Total938101

Merged error: 0b

Counts
101 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.6b
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
4.4b
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
10.1b
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×*-un-lft-identity
11×pow1 add-sqr-sqrt
10×associate-*l/
9×add-cube-cbrt
7×prod-exp cbrt-unprod
6×associate-*r* add-log-exp
5×associate-*l*
4×expm1-log1p-u flip3-- times-frac pow-prod-down associate-/r* flip-- log1p-expm1-u
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out difference-of-squares
1×sub-neg frac-2neg flip3-+ fma-neg diff-log prod-diff clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 93
Calls
4 calls:
4.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
6.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
7.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
19.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

series220.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
67.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
52.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
60.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
04091022
12170841
25001837

prune172.0ms

Filtered
105 candidates to 74 candidates (70.5%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1050105
Fresh044
Picked011
Done033
Total1058113

Merged error: 0b

Counts
113 → 8

regimes132.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample449.0ms

Algorithm
intervals
Results
298.0ms9150×body80valid

Profiling

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