Details

Time bar (total: 2.7s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

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: 7.3b

localize6.0ms

Local error

Found 1 expressions with local error:

7.3b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite21.0ms

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:
18.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series55.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune114.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ 1 (- 1.0 (/ y z)))
6.2b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite75.0ms

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:
13.0ms
(/ 1 (- 1.0 (/ y z)))
41.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series98.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 1 (- 1.0 (/ y z)))
53.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0351684
11631607
25001557

prune189.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 6.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.4b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite63.0ms

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:
24.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
28.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series162.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
40.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify67.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05972063
126631879
250011714

prune275.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (- 1.0 (/ y z)) 3)
0.2b
(/ 1 (pow (- 1.0 (/ y z)) 3))
6.2b
(* (+ x y) (cbrt (/ 1 (pow (- 1.0 (/ y z)) 3))))
14.4b
(cbrt (/ 1 (pow (- 1.0 (/ y z)) 3)))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
228×add-sqr-sqrt
192×times-frac
146×*-un-lft-identity
129×cbrt-prod
96×add-cube-cbrt
68×unpow-prod-down cube-prod
63×associate-*r*
44×difference-of-squares
22×distribute-lft-out--
18×associate-/r*
16×add-exp-log
13×sqr-pow
11×cube-mult unpow3
10×unswap-sqr
8×cube-div add-cbrt-cube
7×pow1
6×div-exp associate-/r/
4×expm1-log1p-u pow-to-exp cbrt-div flip3-- associate-*l* pow-exp flip-- log1p-expm1-u add-log-exp
3×rec-exp pow-unpow 1-exp div-inv associate-/l*
2×frac-times flip3-+ associate-*l/ flip-+
1×cbrt-undiv pow-flip pow-pow frac-2neg pow1/3 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod distribute-lft-out inv-pow rem-cube-cbrt
Counts
4 → 300
Calls
4 calls:
12.0ms
(pow (- 1.0 (/ y z)) 3)
26.0ms
(/ 1 (pow (- 1.0 (/ y z)) 3))
83.0ms
(* (+ x y) (cbrt (/ 1 (pow (- 1.0 (/ y z)) 3))))
19.0ms
(cbrt (/ 1 (pow (- 1.0 (/ y z)) 3)))

series215.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(pow (- 1.0 (/ y z)) 3)
92.0ms
(/ 1 (pow (- 1.0 (/ y z)) 3))
51.0ms
(* (+ x y) (cbrt (/ 1 (pow (- 1.0 (/ y z)) 3))))
43.0ms
(cbrt (/ 1 (pow (- 1.0 (/ y z)) 3)))

simplify87.0ms

Algorithm
egg-herbie
Counts
312 → 312
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06262745
129902267
250012219

prune447.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 6.1b

regimes122.0ms

Accuracy

0% (1.9b remaining)

Error of 7.7b against oracle of 5.8b and baseline of 7.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
194

end0.0ms

sample353.0ms

Algorithm
intervals
Results
186.0ms7999×body80valid
0.0ms1×body160valid