Details

Time bar (total: 3.4s)

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: 9.7b

localize6.0ms

Local error

Found 1 expressions with local error:

9.7b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite23.0ms

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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
21.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune110.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
9.5b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite58.0ms

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 frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ 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 → 97
Calls
2 calls:
13.0ms
(/ 1 (- 1.0 (/ y z)))
41.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series94.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ 1 (- 1.0 (/ y z)))
51.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0343664
11615588
25001538

prune178.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
9.8b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite57.0ms

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×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
24.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
21.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series158.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
40.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify64.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05882041
126341860
250031696

prune258.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 6.6b

localize11.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
10.0b
(cbrt (- 1.0 (/ y z)))
10.0b
(cbrt (- 1.0 (/ y z)))
10.0b
(cbrt (- 1.0 (/ y z)))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
62×*-un-lft-identity
58×times-frac
49×add-exp-log
45×cbrt-prod
42×associate-*r*
27×add-cube-cbrt
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
14×difference-of-squares
10×flip3-- associate-/r/ flip--
9×distribute-lft-out unswap-sqr
8×cbrt-unprod
7×cbrt-undiv distribute-lft-out--
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 146
Calls
4 calls:
164.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series981.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
290.0ms
(cbrt (- 1.0 (/ y z)))
290.0ms
(cbrt (- 1.0 (/ y z)))
281.0ms
(cbrt (- 1.0 (/ y z)))

simplify82.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06552053
131821809
250021648

prune396.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 6.6b

regimes159.0ms

Accuracy

65.6% (0.6b remaining)

Error of 6.2b against oracle of 5.6b and baseline of 7.4b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226

end0.0ms

sample394.0ms

Algorithm
intervals
Results
212.0ms7999×body80valid
0.0ms1×body1280valid