Details

Time bar (total: 5.0s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify9.0ms

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: 7.8b

localize11.0ms

Local error

Found 1 expressions with local error:

7.8b
(/ (+ 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)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune139.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
7.4b
(* (+ 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 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:
15.0ms
(/ 1 (- 1.0 (/ y z)))
38.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series108.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ 1 (- 1.0 (/ y z)))
54.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify61.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0351684
11631607
25001557

prune222.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.4b

localize15.0ms

Local error

Found 4 expressions with local error:

7.4b
(* (+ x y) (/ (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (cbrt (- 1.0 (/ y z)))))
8.1b
(cbrt (- 1.0 (/ y z)))
8.1b
(cbrt (- 1.0 (/ y z)))
8.1b
(cbrt (- 1.0 (/ y z)))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
190×times-frac
165×add-sqr-sqrt
141×associate-*r*
116×cbrt-div
111×cbrt-prod
97×*-un-lft-identity
74×associate-/r/
58×flip3-- flip--
57×add-cube-cbrt
38×frac-times
36×difference-of-squares
32×add-exp-log
20×associate-*l/
19×associate-*r/
18×distribute-lft-out--
13×add-cbrt-cube
11×div-exp prod-exp
10×div-inv
7×unswap-sqr
6×pow1
5×cbrt-undiv cbrt-unprod
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×pow1/3
2×rec-exp flip3-+ 1-exp flip-+
1×pow-prod-down *-commutative distribute-lft-out
Counts
4 → 234
Calls
4 calls:
162.0ms
(* (+ x y) (/ (/ 1 (* (cbrt (- 1.0 (/ y z))) (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:
61.0ms
(* (+ x y) (/ (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (cbrt (- 1.0 (/ y z)))))
335.0ms
(cbrt (- 1.0 (/ y z)))
339.0ms
(cbrt (- 1.0 (/ y z)))
329.0ms
(cbrt (- 1.0 (/ y z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
246 → 246
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
011493457
150013127

prune933.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
7.8b
(/ (+ x y) (- 1.0 (/ y z)))
7.8b
(/ (+ x y) (- 1.0 (/ y z)))
7.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
143×*-un-lft-identity
115×times-frac
51×add-cube-cbrt
38×difference-of-squares
30×cbrt-prod
27×distribute-lft-out
19×distribute-lft-out--
18×associate-/r*
12×associate-/l*
10×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l/
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
1×cbrt-div pow1/3
Counts
4 → 197
Calls
4 calls:
9.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
18.0ms
(/ (+ x y) (- 1.0 (/ y z)))
21.0ms
(/ (+ x y) (- 1.0 (/ y z)))
18.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series576.0ms

Counts
4 → 12
Calls
4 calls:
393.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
62.0ms
(/ (+ x y) (- 1.0 (/ y z)))
56.0ms
(/ (+ x y) (- 1.0 (/ y z)))
64.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify143.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
03851814
111081749
243591745
350011744

prune606.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 5.4b

regimes189.0ms

Accuracy

71% (0.5b remaining)

Error of 6.2b against oracle of 5.7b and baseline of 7.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03132
13132

end0.0ms

sample364.0ms

Algorithm
intervals
Results
202.0ms7999×body80valid
0.0ms1×body1280valid