Details

Time bar (total: 4.0s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0368
11568
25398
324108
450018

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
19.1b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times flip3-+ flip-+
31×add-exp-log add-cbrt-cube
30×associate-*l/
27×*-un-lft-identity
26×associate-/r/
18×associate-*r/
15×pow1
13×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×associate-*r* distribute-lft-out
8×add-cube-cbrt
6×cbrt-undiv swap-sqr div-exp
5×associate-*l*
4×pow-prod-down
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×distribute-rgt-in distribute-lft-in *-commutative unswap-sqr
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* pow-sqr pow-prod-up div-inv associate-/l*
Counts
3 → 146
Calls
3 calls:
16.0ms
(* (+ x y) (+ x y))
60.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
36.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series207.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (+ x y) (+ x y))
40.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
153.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09341519
150021370

prune297.0ms

Filtered
155 candidates to 94 candidates (60.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.1b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
21.1b
(/ x (* (+ x y) (+ x y)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
43×add-sqr-sqrt
40×times-frac
34×add-exp-log add-cbrt-cube
31×add-cube-cbrt
27×distribute-lft-out
25×associate-*r*
20×flip3-+ associate-/r/ flip-+
19×associate-*l*
13×pow1 frac-times
10×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*r/ associate-*l/
6×swap-sqr associate-/r* associate-/l*
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×frac-2neg pow-prod-down clear-num *-commutative
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-sqr pow-prod-up
Counts
4 → 178
Calls
4 calls:
17.0ms
(* (+ x y) (+ x y))
20.0ms
(/ y (+ (+ x y) 1.0))
72.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
7.0ms
(/ x (* (+ x y) (+ x y)))

series269.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (+ x y) (+ x y))
43.0ms
(/ y (+ (+ x y) 1.0))
150.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
62.0ms
(/ x (* (+ x y) (+ x y)))

simplify100.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
06771321
137041174
250011163

prune342.0ms

Filtered
190 candidates to 120 candidates (63.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(/ x (+ x y))
0.1b
(/ (/ x (+ x y)) (+ x y))
0.1b
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
313×*-un-lft-identity
303×times-frac
163×add-sqr-sqrt
142×add-cube-cbrt
89×distribute-lft-out
78×associate-*l*
34×add-exp-log add-cbrt-cube
28×associate-/r/
24×associate-/l*
21×associate-*r*
14×cbrt-undiv flip3-+ div-exp flip-+ div-inv
13×associate-/r*
6×pow1 prod-exp cbrt-unprod unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 318
Calls
4 calls:
18.0ms
(/ y (+ (+ x y) 1.0))
5.0ms
(/ x (+ x y))
15.0ms
(/ (/ x (+ x y)) (+ x y))
99.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ y (+ (+ x y) 1.0))
41.0ms
(/ x (+ x y))
58.0ms
(/ (/ x (+ x y)) (+ x y))
152.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify114.0ms

Algorithm
egg-herbie
Counts
330 → 330
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09982781
146362579
250012579

prune572.0ms

Filtered
330 candidates to 201 candidates (60.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (/ x (+ x y)))
0.0b
(expm1 (log1p (/ x (+ x y))))
0.1b
(/ (expm1 (log1p (/ x (+ x y)))) (+ x y))
0.1b
(* (/ (expm1 (log1p (/ x (+ x y)))) (+ x y)) (/ y (+ (+ x y) 1.0)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
43×times-frac
42×add-sqr-sqrt
30×add-cube-cbrt
21×associate-*r*
18×add-exp-log associate-*l* add-cbrt-cube
16×distribute-lft-out
6×pow1 associate-/r/
5×cbrt-undiv expm1-log1p-u div-exp
4×prod-exp associate-/r* cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×flip3-+ flip-+ div-inv associate-/l*
2×expm1-udef
1×frac-times log1p-udef expm1-log1p frac-2neg div-sub log1p-expm1 associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 123
Calls
4 calls:
0.0ms
(log1p (/ x (+ x y)))
0.0ms
(expm1 (log1p (/ x (+ x y))))
5.0ms
(/ (expm1 (log1p (/ x (+ x y)))) (+ x y))
60.0ms
(* (/ (expm1 (log1p (/ x (+ x y)))) (+ x y)) (/ y (+ (+ x y) 1.0)))

series432.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(log1p (/ x (+ x y)))
71.0ms
(expm1 (log1p (/ x (+ x y))))
98.0ms
(/ (expm1 (log1p (/ x (+ x y)))) (+ x y))
196.0ms
(* (/ (expm1 (log1p (/ x (+ x y)))) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05111261
122601087
250011078

prune301.0ms

Filtered
135 candidates to 101 candidates (74.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128
1128

end0.0ms

sample368.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid