Details

Time bar (total: 3.0s)

sample16.0ms

Algorithm
intervals
Results
7.0ms303×body80valid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1314
2714
31364
42114
52854
63504
73964
84084
94084

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.1b
(* (- x (/ 16.0 116.0)) 3.0)
0.2b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×associate-*l*
6×add-cube-cbrt associate-*r* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×flip3-- flip--
2×times-frac *-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 58
Calls
3 calls:
7.0ms
(- x (/ 16.0 116.0))
9.0ms
(* (- x (/ 16.0 116.0)) 3.0)
14.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series103.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- x (/ 16.0 116.0))
45.0ms
(* (- x (/ 16.0 116.0)) 3.0)
36.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify99.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0223336
1883287
24460287
35001287

prune123.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 3.0 x) 0.41379310344827586)
0.1b
(* y (- (* 3.0 x) 0.41379310344827586))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
4.0ms
(- (* 3.0 x) 0.41379310344827586)
10.0ms
(* y (- (* 3.0 x) 0.41379310344827586))

series86.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* 3.0 x) 0.41379310344827586)
44.0ms
(* y (- (* 3.0 x) 0.41379310344827586))

simplify58.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0137189
1512167
21828166
35001166

prune73.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.1b
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.1b
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
0.7b
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
20×add-cbrt-cube
19×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
12×*-un-lft-identity associate-*l/
10×associate-*r*
8×add-cube-cbrt associate-*l*
6×add-log-exp
4×flip3-- flip-- difference-of-squares
3×cbrt-prod *-commutative
2×times-frac distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
4 → 91
Calls
4 calls:
6.0ms
(- x (/ 16.0 116.0))
17.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
18.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
16.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series367.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- x (/ 16.0 116.0))
124.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
96.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
124.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0358854
11703656
25002612

prune210.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.1b
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))
0.1b
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0)))
0.1b
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
95×add-exp-log
73×prod-exp
33×add-cbrt-cube
31×cbrt-unprod
20×pow1
19×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
12×associate-*l/
10×pow-prod-down
9×cbrt-prod add-cube-cbrt
8×associate-*l*
6×pow-to-exp pow-exp add-log-exp
4×flip3-- flip-- difference-of-squares
3×*-commutative
2×times-frac distribute-lft-out--
1×sub-neg diff-log
Counts
4 → 108
Calls
4 calls:
6.0ms
(- x (/ 16.0 116.0))
23.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))
22.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0)))
26.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

series803.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- x (/ 16.0 116.0))
531.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))
137.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0)))
105.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

simplify83.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
04811753
122501336
250031149

prune245.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample351.0ms

Algorithm
intervals
Results
206.0ms9147×body80valid