Details

Time bar (total: 3.2s)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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))
19.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series77.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- 1.0 (/ y z))
60.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05041403
116141048
25001967

prune225.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.3b
(/ 1 (- 1.0 (/ y z)))
6.3b
(* (+ 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))
16.0ms
(/ 1 (- 1.0 (/ y z)))
40.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series125.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- 1.0 (/ y z))
52.0ms
(/ 1 (- 1.0 (/ y z)))
54.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify81.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06461655
126011241
250011110

prune314.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.3b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.7b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite79.0ms

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:
8.0ms
(- 1.0 (/ y z))
22.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
28.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series209.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- 1.0 (/ y z))
144.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
47.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify107.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08983034
137342513
250012273

prune404.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ y z) (/ y z))
5.4b
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
11.6b
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
71×*-un-lft-identity
68×add-sqr-sqrt
51×add-cube-cbrt
35×associate-*l*
22×add-exp-log add-cbrt-cube
17×associate-*r*
13×swap-sqr
12×pow1
10×distribute-lft-out
9×difference-of-squares
6×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
4×associate-/r* associate-/r/ associate-/l*
3×expm1-log1p-u frac-times flip3-+ associate-*r/ flip-+ log1p-expm1-u add-log-exp
2×flip3-- pow-prod-down associate-*l/ *-commutative flip-- associate-/l/
1×pow2 distribute-rgt-in frac-2neg distribute-lft-in pow-plus clear-num pow-sqr pow-prod-up
Counts
3 → 161
Calls
3 calls:
13.0ms
(* (/ y z) (/ y z))
11.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
46.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series208.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (/ y z) (/ y z))
69.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
104.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify128.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
08421519
146101374
250011374

prune431.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 5.6b

regimes141.0ms

Accuracy

0% (1.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample359.0ms

Algorithm
intervals
Results
195.0ms8000×body80valid