Details

Time bar (total: 5.1s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify8.0ms

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: 6.5b

localize7.0ms

Local error

Found 1 expressions with local error:

6.5b
(/ (+ 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)))

series63.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune137.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (- 1.0 (/ y z)))
6.3b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite62.0ms

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)))
45.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series109.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ 1 (- 1.0 (/ y z)))
55.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify52.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0351684
11631607
25001557

prune226.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.9b

localize13.0ms

Local error

Found 4 expressions with local error:

2.1b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
6.7b
(cbrt (- 1.0 (/ y z)))
6.7b
(cbrt (- 1.0 (/ y z)))
6.7b
(cbrt (- 1.0 (/ y z)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod cbrt-div
9×add-exp-log add-cube-cbrt flip3-- flip--
8×associate-/r/
7×times-frac add-cbrt-cube
6×difference-of-squares
4×pow1 expm1-log1p-u frac-times log1p-expm1-u associate-/l* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 89
Calls
4 calls:
23.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (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)))

series1.5s

Counts
4 → 12
Calls
4 calls:
243.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
555.0ms
(cbrt (- 1.0 (/ y z)))
332.0ms
(cbrt (- 1.0 (/ y z)))
346.0ms
(cbrt (- 1.0 (/ y z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0348860
1878798
22742779
35001755

prune347.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.9b

localize12.0ms

Local error

Found 4 expressions with local error:

6.3b
(* (+ x y) (* (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))) (cbrt (/ 1 (- 1.0 (/ y z))))))
6.6b
(cbrt (/ 1 (- 1.0 (/ y z))))
6.6b
(cbrt (/ 1 (- 1.0 (/ y z))))
6.6b
(cbrt (/ 1 (- 1.0 (/ y z))))

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
72×cbrt-prod
63×times-frac
55×*-un-lft-identity
39×cbrt-div
35×add-cube-cbrt
29×frac-times
18×difference-of-squares
17×associate-*l/
16×associate-*r/
13×pow1 add-exp-log
9×add-cbrt-cube distribute-lft-out--
8×flip3-+ flip-+
6×pow-prod-down prod-exp associate-/r/ cbrt-unprod
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- div-inv
1×associate-*r* *-commutative distribute-lft-out
Counts
4 → 152
Calls
4 calls:
268.0ms
(* (+ x y) (* (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))) (cbrt (/ 1 (- 1.0 (/ y z))))))
8.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
8.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
8.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

series916.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (+ x y) (* (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))) (cbrt (/ 1 (- 1.0 (/ y z))))))
290.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
287.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
284.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

simplify73.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04841990
115231824
250011634

prune466.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 4.9b

regimes174.0ms

Accuracy

74.5% (0.5b remaining)

Error of 6.3b against oracle of 5.8b and baseline of 7.7b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03332
13332

end0.0ms

sample369.0ms

Algorithm
intervals
Results
204.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid