Details

Time bar (total: 3.9s)

sample28.0ms

Algorithm
intervals
Results
18.0ms291×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.4b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite72.0ms

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
associate-*l*
associate-*r* associate-*l/
add-log-exp
pow-prod-down prod-exp cbrt-unprod difference-of-squares
expm1-log1p-u flip3-- fma-neg flip-- log1p-expm1-u div-inv
*-commutative distribute-lft-out--
sub-neg diff-log unswap-sqr
Counts
3 → 106
Calls
3 calls:
11.0ms
(- x (/ 16.0 116.0))
25.0ms
(* (- x (/ 16.0 116.0)) 3.0)
31.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series117.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(- x (/ 16.0 116.0))
50.0ms
(* (- x (/ 16.0 116.0)) 3.0)
42.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify73.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05101245
11827864
25001783

prune198.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
39×prod-diff
38×add-cube-cbrt
29×times-frac
pow1 add-exp-log add-cbrt-cube
associate-*l*
add-log-exp difference-of-squares
fma-neg pow-prod-down prod-exp cbrt-unprod div-inv
expm1-log1p-u flip3-- associate-*l/ flip-- log1p-expm1-u distribute-lft-out--
sub-neg diff-log associate-*r* *-commutative
Counts
2 → 84
Calls
2 calls:
8.0ms
(- x (/ 16.0 116.0))
31.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series71.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- x (/ 16.0 116.0))
42.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify67.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04741133
11545766
25002685

prune139.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
100×associate-*l/
60×cbrt-div
30×flip3-- flip--
28×frac-times
13×pow1 add-exp-log
add-cbrt-cube
associate-*r/
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-prod pow1/3 associate-*r*
associate-*l* *-commutative
Counts
4 → 88
Calls
4 calls:
97.0ms
(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
8.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series551.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
145.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
148.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
148.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04991402
115801222
250021094

prune335.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) y))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
92×associate-*l/
60×cbrt-div
30×flip3-- flip--
28×frac-times
16×pow1 add-exp-log
10×add-cbrt-cube
associate-*r/ pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
cbrt-prod pow1/3
associate-*r* associate-*l* *-commutative
Counts
4 → 89
Calls
4 calls:
41.0ms
(* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) y))
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
8.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series580.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) y))
156.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
150.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
159.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05241686
115531463
250011371

prune300.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample670.0ms

Algorithm
intervals
Results
511.0ms9183×body80valid