Details

Time bar (total: 4.2s)

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: 6.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
6.7b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
10.0ms
(- 1.0 (/ y z))
33.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- 1.0 (/ y z))
56.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0220502
1647479
21852479
35001479

prune147.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.7b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 210
Calls
3 calls:
13.0ms
(- 1.0 (/ y z))
33.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
38.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series184.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(- 1.0 (/ y z))
119.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
49.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify69.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06122121
127201935
250011771

prune264.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.5b

localize12.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
6.9b
(cbrt (- 1.0 (/ y z)))
6.9b
(cbrt (- 1.0 (/ y z)))
6.9b
(cbrt (- 1.0 (/ y z)))

rewrite279.0ms

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:
246.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
8.0ms
(cbrt (- 1.0 (/ y z)))
8.0ms
(cbrt (- 1.0 (/ y z)))
9.0ms
(cbrt (- 1.0 (/ y z)))

series985.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (/ 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)))

simplify83.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06552053
131821809
250021648

prune388.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
0.1b
(/ 1 (sqrt (- 1.0 (/ y z))))
3.1b
(sqrt (- 1.0 (/ y z)))
3.1b
(sqrt (- 1.0 (/ y z)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
101×add-sqr-sqrt
86×*-un-lft-identity
74×times-frac
66×sqrt-prod
44×add-cube-cbrt
22×difference-of-squares
18×associate-/r*
11×distribute-lft-out--
10×add-exp-log distribute-lft-out
8×pow1 sqrt-div add-cbrt-cube
7×associate-/l*
4×flip3-- associate-/r/ flip-- add-log-exp
3×pow-flip sqrt-pow1 pow1/2 div-exp
2×cbrt-undiv rem-sqrt-square frac-2neg clear-num div-inv associate-/l/
1×rec-exp flip3-+ 1-exp flip-+ inv-pow
Counts
4 → 160
Calls
4 calls:
33.0ms
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
25.0ms
(/ 1 (sqrt (- 1.0 (/ y z))))
15.0ms
(sqrt (- 1.0 (/ y z)))
16.0ms
(sqrt (- 1.0 (/ y z)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
150.0ms
(/ 1 (sqrt (- 1.0 (/ y z))))
81.0ms
(sqrt (- 1.0 (/ y z)))
80.0ms
(sqrt (- 1.0 (/ y z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
03801425
112391300
232981247
350011247

prune317.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 4.5b

regimes141.0ms

Accuracy

54.1% (0.8b remaining)

Error of 6.4b against oracle of 5.6b and baseline of 7.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03126
13126

end0.0ms

sample397.0ms

Algorithm
intervals
Results
184.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body160valid