Details

Time bar (total: 8.3s)

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: 7.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
7.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite37.0ms

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)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- 1.0 (/ y z))
55.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify867.0ms

Counts
117 → 117
Iterations

Useful iterations: done (863.0ms)

IterNodesCost
02202574
14982334
213711799
done50001793

prune251.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.3b
(/ 1 (- 1.0 (/ y z)))
7.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite74.0ms

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))
17.0ms
(/ 1 (- 1.0 (/ y z)))
41.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series128.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- 1.0 (/ y z))
53.0ms
(/ 1 (- 1.0 (/ y z)))
56.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify1.1s

Counts
169 → 169
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02703123
16382682
217462085
done50002079

prune341.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.9b
(/ (- 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:
12.0ms
(- 1.0 (/ y z))
22.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
29.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series205.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- 1.0 (/ y z))
141.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
47.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.2s

Counts
267 → 267
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03725784
18925073
222414263
done50004257

prune451.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.0b
(/ 1 (+ x y))
0.3b
(/ 1 (- 1.0 (/ y z)))
7.8b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
1193×times-frac
759×add-sqr-sqrt
731×*-un-lft-identity
449×add-cube-cbrt
124×difference-of-squares
93×associate-/r/
79×distribute-lft-out
62×distribute-lft-out--
52×add-exp-log
50×div-inv
39×prod-diff
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
4×expm1-log1p-u log1p-expm1-u
3×frac-2neg fma-neg clear-num
2×pow-flip inv-pow
1×sub-neg diff-log associate-/l/
Counts
4 → 653
Calls
4 calls:
8.0ms
(- 1.0 (/ y z))
10.0ms
(/ 1 (+ x y))
14.0ms
(/ 1 (- 1.0 (/ y z)))
41.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(- 1.0 (/ y z))
36.0ms
(/ 1 (+ x y))
52.0ms
(/ 1 (- 1.0 (/ y z)))
136.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify1.8s

Counts
665 → 665
Iterations

Useful iterations: done (1.8s)

IterNodesCost
083618346
1242914477
done500012720

prune657.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 5.2b

regimes192.0ms

Accuracy

64.6% (0.7b remaining)

Error of 6.3b against oracle of 5.6b and baseline of 7.5b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02465
13157
done3157

end0.0ms

sample372.0ms

Algorithm
intervals
Results
205.0ms8000×body80valid