Details

Time bar (total: 3.0s)

sample18.0ms

Algorithm
intervals
Results
6.0ms287×body80valid

simplify56.0ms

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 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×*-un-lft-identity associate-*l*
6×associate-*r* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
10.0ms
(* (- x (/ 16.0 116.0)) 3.0)
11.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series91.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (- x (/ 16.0 116.0)) 3.0)
42.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify119.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0204277
1862233
24488233
35001233

prune121.0ms

Filtered
53 candidates to 36 candidates (67.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New45853
Fresh000
Picked011
Done000
Total45954

Merged error: 0.0b

Counts
54 → 9

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-exp-log associate-*l* add-cbrt-cube
4×*-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/ difference-of-squares
1×expm1-log1p-u flip3-- times-frac associate-*r* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp
Counts
1 → 25
Calls
1 calls:
11.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify86.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0165165
1575135
22608135
35001135

prune70.0ms

Filtered
28 candidates to 17 candidates (60.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New26228
Fresh167
Picked011
Done011
Total271037

Merged error: 0.0b

Counts
37 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
8.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
8.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
9.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
9.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series565.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
124.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
130.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
149.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0433934
11604864
25001803

prune297.0ms

Filtered
92 candidates to 75 candidates (81.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh077
Picked011
Done022
Total9210102

Merged error: 0.0b

Counts
102 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
0.8b
(cbrt (- x (/ 16.0 116.0)))
0.8b
(cbrt (- x (/ 16.0 116.0)))
0.8b
(cbrt (- x (/ 16.0 116.0)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 115
Calls
4 calls:
18.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
6.0ms
(cbrt (- x (/ 16.0 116.0)))
6.0ms
(cbrt (- x (/ 16.0 116.0)))
6.0ms
(cbrt (- x (/ 16.0 116.0)))

series458.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
96.0ms
(cbrt (- x (/ 16.0 116.0)))
96.0ms
(cbrt (- x (/ 16.0 116.0)))
103.0ms
(cbrt (- x (/ 16.0 116.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04171170
113951115
250011036

prune346.0ms

Filtered
127 candidates to 95 candidates (74.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1243127
Fresh246
Picked011
Done123
Total12710137

Merged error: 0b

Counts
137 → 10

regimes162.0ms

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

sample339.0ms

Algorithm
intervals
Results
198.0ms9169×body80valid