Details

Time bar (total: 4.2s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:
6.0ms
(- 1.0 (/ y z))
20.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series63.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(- 1.0 (/ y z))
48.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0220502
1647479
21852479
35001479

prune141.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.7b

localize7.0ms

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))

rewrite59.0ms

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:
5.0ms
(- 1.0 (/ y z))
20.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
23.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series171.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- 1.0 (/ y z))
113.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
43.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify67.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
06122121
127201935
250011771

prune257.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.7b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.0b
(/ 1 (+ x y))
0.4b
(/ 1 (- 1.0 (/ y z)))
6.4b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
1166×times-frac
724×add-sqr-sqrt
696×*-un-lft-identity
414×add-cube-cbrt
124×difference-of-squares
93×associate-/r/
79×distribute-lft-out
62×distribute-lft-out--
52×add-exp-log
47×div-inv
36×div-exp
30×associate-/l*
28×associate-/r*
26×flip3-+ flip-+
21×flip3-- flip--
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
3×frac-2neg clear-num
2×pow-flip inv-pow
1×sub-neg diff-log associate-/l/
Counts
4 → 603
Calls
4 calls:
5.0ms
(- 1.0 (/ y z))
5.0ms
(/ 1 (+ x y))
12.0ms
(/ 1 (- 1.0 (/ y z)))
37.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series208.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(- 1.0 (/ y z))
31.0ms
(/ 1 (+ x y))
43.0ms
(/ 1 (- 1.0 (/ y z)))
117.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify133.0ms

Algorithm
egg-herbie
Counts
615 → 615
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
021388510
150017596

prune743.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 5.7b

localize14.0ms

Local error

Found 4 expressions with local error:

3.0b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (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)))

rewrite73.0ms

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 frac-times 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 → 81
Calls
4 calls:
40.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
10.0ms
(cbrt (- 1.0 (/ y z)))
10.0ms
(cbrt (- 1.0 (/ y z)))
10.0ms
(cbrt (- 1.0 (/ y z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
204.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
273.0ms
(cbrt (- 1.0 (/ y z)))
275.0ms
(cbrt (- 1.0 (/ y z)))
474.0ms
(cbrt (- 1.0 (/ y z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0334816
1838755
22589739
35001715

prune243.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 5.7b

regimes107.0ms

Accuracy

0% (2.1b remaining)

Error of 7.4b against oracle of 5.3b and baseline of 7.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample372.0ms

Algorithm
intervals
Results
204.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid