Details

Time bar (total: 3.2s)

sample20.0ms

Algorithm
intervals
Results
12.0ms256×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: 10.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
10.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite31.0ms

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))
23.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(- 1.0 (/ y z))
50.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0220502
1647479
21852479
35001479

prune134.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 8.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.4b
(/ 1 (- 1.0 (/ y z)))
10.5b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
25×add-cube-cbrt
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×flip3-- flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 112
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
13.0ms
(/ 1 (- 1.0 (/ y z)))
42.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series109.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- 1.0 (/ y z))
40.0ms
(/ 1 (- 1.0 (/ y z)))
51.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify42.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0360744
11650663
25002613

prune194.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 8.7b

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)))
10.9b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite63.0ms

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:
6.0ms
(- 1.0 (/ y z))
24.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
22.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series169.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- 1.0 (/ y z))
116.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
38.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify64.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
06122121
127201935
250011771

prune273.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 8.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.4b
(/ 1 (- 1.0 (/ y z)))
10.6b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
1154×times-frac
714×add-sqr-sqrt
678×*-un-lft-identity
404×add-cube-cbrt
124×difference-of-squares
91×associate-/r/
75×distribute-lft-out
62×distribute-lft-out--
47×add-exp-log
46×div-inv
34×div-exp
27×associate-/l*
25×flip3-+ flip-+
24×associate-/r*
21×flip3-- flip--
17×add-cbrt-cube
9×cbrt-undiv rec-exp 1-exp
5×add-log-exp
4×pow1
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 566
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
16.0ms
(/ 1 (- 1.0 (/ y z)))
38.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series190.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- 1.0 (/ y z))
43.0ms
(/ 1 (- 1.0 (/ y z)))
129.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify115.0ms

Algorithm
egg-herbie
Counts
575 → 575
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
021318353
150017457

prune754.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 8.7b

regimes165.0ms

Accuracy

64.6% (0.6b remaining)

Error of 6.4b against oracle of 5.8b and baseline of 7.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02725
12725

end0.0ms

sample540.0ms

Algorithm
intervals
Results
375.0ms7998×body80valid
0.0ms1×body640valid
0.0ms1×body320valid