Details

Time bar (total: 7.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1119
2149
done149

prune2.0ms

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)))

rewrite33.0ms

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

series65.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(- 1.0 (/ y z))
49.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify698.0ms

Counts
117 → 117
Iterations

Useful iterations: done (691.0ms)

IterNodesCost
02202574
15112334
215701799
done50001793

prune205.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

localize7.0ms

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))))

rewrite66.0ms

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))
12.0ms
(/ 1 (- 1.0 (/ y z)))
38.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series116.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- 1.0 (/ y z))
44.0ms
(/ 1 (- 1.0 (/ y z)))
54.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify1.2s

Counts
169 → 169
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02703123
16582734
222752085
done50002079

prune280.0ms

Pruning

9 alts after pruning (7 fresh and 2 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)) (+ x y)))
6.7b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite70.0ms

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:
7.0ms
(- 1.0 (/ y z))
22.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
25.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series173.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- 1.0 (/ y z))
115.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
43.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.6s

Counts
267 → 267
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03725784
19175159
231204263
done50004257

prune351.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.6b

localize10.0ms

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)))

rewrite75.0ms

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))
12.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
43.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series174.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (/ y z) (/ y z))
61.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
88.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify1.6s

Counts
170 → 170
Iterations

Useful iterations: 2 (297.0ms)

IterNodesCost
02503175
18463001
242362697
done50002697

prune360.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 5.6b

regimes125.0ms

Accuracy

0% (1.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample349.0ms

Algorithm
intervals
Results
188.0ms8000×body80valid