Details

Time bar (total: 3.3s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize9.0ms

Local error

Found 1 expressions with local error:

5.5b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite22.0ms

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:
19.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune121.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- 1.0 (/ y z)))
5.0b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite61.0ms

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:
16.0ms
(/ 1 (- 1.0 (/ y z)))
41.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series97.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (- 1.0 (/ y z)))
51.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0351684
11631607
25001557

prune200.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
5.5b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite68.0ms

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:
23.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
28.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series186.0ms

Counts
2 → 6
Calls
2 calls:
138.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
47.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify78.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05972063
126631879
250011714

prune327.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.5b
(/ 1 (- 1.0 (/ y z)))
5.1b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
1165×times-frac
718×add-sqr-sqrt
693×*-un-lft-identity
413×add-cube-cbrt
122×difference-of-squares
93×associate-/r/
79×distribute-lft-out
61×distribute-lft-out--
51×add-exp-log
47×div-inv
36×div-exp
30×associate-/l*
28×associate-/r*
26×flip3-+ flip-+
20×flip3-- flip--
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
5×pow1
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 594
Calls
3 calls:
6.0ms
(/ 1 (+ x y))
14.0ms
(/ 1 (- 1.0 (/ y z)))
45.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series221.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (+ x y))
51.0ms
(/ 1 (- 1.0 (/ y z)))
135.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify134.0ms

Algorithm
egg-herbie
Counts
603 → 603
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
021478408
150017500

prune914.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 4.5b

regimes159.0ms

Accuracy

0% (1.7b remaining)

Error of 7.4b against oracle of 5.6b and baseline of 7.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample372.0ms

Algorithm
intervals
Results
201.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid