Details

Time bar (total: 3.2s)

sample24.0ms

Algorithm
intervals
Results
15.0ms256×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: 7.4b

localize6.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ (+ 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)))

series59.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune140.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
7.1b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite59.0ms

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)))
42.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series106.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (- 1.0 (/ y z)))
59.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0351684
11631607
25001557

prune225.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.7b

localize8.0ms

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))

rewrite65.0ms

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:
22.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
31.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series181.0ms

Counts
2 → 6
Calls
2 calls:
130.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
51.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify74.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05972063
126631879
250011714

prune306.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
2.3b
(* (+ x y) (* (sqrt (/ 1 (- 1.0 (/ y z)))) (sqrt (/ 1 (- 1.0 (/ y z))))))
7.2b
(sqrt (/ 1 (- 1.0 (/ y z))))
7.2b
(sqrt (/ 1 (- 1.0 (/ y z))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
68×times-frac
60×*-un-lft-identity
48×sqrt-prod
36×add-cube-cbrt
20×difference-of-squares
14×pow1 sqrt-div
13×add-exp-log
11×add-cbrt-cube
10×distribute-lft-out--
9×frac-times
6×rem-sqrt-square sqrt-pow1 associate-*r/ associate-/r* associate-/r/
5×associate-*l/
4×expm1-log1p-u flip3-+ associate-*l* flip-+ log1p-expm1-u add-log-exp
3×flip3-- pow-flip pow-prod-down prod-exp flip-- cbrt-unprod div-inv associate-/l* inv-pow
2×pow1/2 div-exp
1×cbrt-undiv rec-exp frac-2neg 1-exp associate-*r* clear-num *-commutative distribute-lft-out unswap-sqr
Counts
4 → 162
Calls
4 calls:
13.0ms
(/ 1 (- 1.0 (/ y z)))
80.0ms
(* (+ x y) (* (sqrt (/ 1 (- 1.0 (/ y z)))) (sqrt (/ 1 (- 1.0 (/ y z))))))
14.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
14.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ 1 (- 1.0 (/ y z)))
61.0ms
(* (+ x y) (* (sqrt (/ 1 (- 1.0 (/ y z)))) (sqrt (/ 1 (- 1.0 (/ y z))))))
167.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
167.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03921335
114091155
250021063

prune377.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.7b

regimes162.0ms

Accuracy

54.7% (0.9b remaining)

Error of 6.4b against oracle of 5.5b and baseline of 7.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226

end0.0ms

sample658.0ms

Algorithm
intervals
Results
481.0ms7998×body80valid
0.0ms2×body1280valid