Details

Time bar (total: 4.0s)

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify8.0ms

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)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
75×*-un-lft-identity
57×times-frac
49×add-cube-cbrt
39×prod-diff
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube div-inv associate-/l* add-log-exp
3×fma-neg
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+
Counts
2 → 111
Calls
2 calls:
8.0ms
(- 1.0 (/ y z))
18.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series69.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- 1.0 (/ y z))
52.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05041403
116141048
25001967

prune198.0ms

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))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
79×*-un-lft-identity
73×times-frac
60×add-cube-cbrt
39×prod-diff
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×div-inv add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×expm1-log1p-u flip3-- fma-neg flip-- log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+
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 → 160
Calls
3 calls:
8.0ms
(- 1.0 (/ y z))
13.0ms
(/ 1 (- 1.0 (/ y z)))
42.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series118.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- 1.0 (/ y z))
46.0ms
(/ 1 (- 1.0 (/ y z)))
56.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify76.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06461655
126011241
250011110

prune301.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 8.7b

localize9.0ms

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))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
259×times-frac
235×add-sqr-sqrt
231×*-un-lft-identity
125×add-cube-cbrt
44×difference-of-squares
39×prod-diff
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×div-inv associate-/l*
8×div-exp
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-neg log1p-expm1-u
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 → 258
Calls
3 calls:
12.0ms
(- 1.0 (/ y z))
23.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
28.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series211.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- 1.0 (/ y z))
146.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
47.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify102.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08983034
137342513
250012273

prune404.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 8.7b

localize10.0ms

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)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
749×add-sqr-sqrt
713×*-un-lft-identity
439×add-cube-cbrt
124×difference-of-squares
91×associate-/r/
75×distribute-lft-out
62×distribute-lft-out--
49×div-inv
47×add-exp-log
39×prod-diff
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
3×expm1-log1p-u fma-neg log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 614
Calls
3 calls:
8.0ms
(- 1.0 (/ y z))
19.0ms
(/ 1 (- 1.0 (/ y z)))
39.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series208.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- 1.0 (/ y z))
52.0ms
(/ 1 (- 1.0 (/ y z)))
140.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify141.0ms

Algorithm
egg-herbie
Counts
623 → 623
Iterations

Useful iterations: 1 (54.0ms)

IterNodesCost
024179216
150028165

prune975.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 8.7b

regimes193.0ms

Accuracy

64.6% (0.6b remaining)

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

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02725
12725

end0.0ms

sample567.0ms

Algorithm
intervals
Results
401.0ms7998×body80valid
0.0ms1×body640valid
0.0ms1×body320valid