Details

Time bar (total: 3.4s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×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: 6.2b

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite20.0ms

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)))

series52.0ms

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

simplify48.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune116.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
5.8b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite55.0ms

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:
12.0ms
(/ 1 (- 1.0 (/ y z)))
39.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series93.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ 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 (37.0ms)

IterNodesCost
0351684
11631607
25001557

prune202.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.2b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite62.0ms

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:
21.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
28.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series162.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
44.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify67.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05972063
126631879
250011714

prune266.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.4b

localize16.0ms

Local error

Found 4 expressions with local error:

2.0b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
6.4b
(cbrt (- 1.0 (/ y z)))
6.4b
(cbrt (- 1.0 (/ y z)))
6.4b
(cbrt (- 1.0 (/ y z)))

rewrite41.0ms

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:
22.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
5.0ms
(cbrt (- 1.0 (/ y z)))
5.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
207.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
276.0ms
(cbrt (- 1.0 (/ y z)))
291.0ms
(cbrt (- 1.0 (/ y z)))
291.0ms
(cbrt (- 1.0 (/ y z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0348860
1878798
22742779
35001755

prune303.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 4.4b

regimes134.0ms

Accuracy

62.9% (0.7b remaining)

Error of 6.8b against oracle of 6.1b and baseline of 8.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03032
13032

end0.0ms

sample499.0ms

Algorithm
intervals
Results
331.0ms8000×body80valid