Details

Time bar (total: 2.1s)

sample15.0ms

Algorithm
intervals
Results
5.0ms255×body80valid
0.0ms1×body320valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize6.0ms

Local error

Found 1 expressions with local error:

6.7b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
32.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune117.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
6.3b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 101
Calls
2 calls:
23.0ms
(/ 1 (- 1.0 (/ y z)))
63.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series99.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (- 1.0 (/ y z)))
53.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0351684
11631607
25001557

prune188.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.5b

localize6.0ms

Local error

Found 1 expressions with local error:

6.7b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
32.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune90.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.7b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
33.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
43.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series173.0ms

Counts
2 → 6
Calls
2 calls:
123.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
50.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05972063
126631879
250011714

prune233.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 4.5b

regimes175.0ms

Accuracy

67.9% (0.6b remaining)

Error of 6.4b against oracle of 5.9b and baseline of 7.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02929
12929

end0.0ms

sample440.0ms

Algorithm
intervals
Results
205.0ms7999×body80valid
0.0ms1×body320valid