Details

Time bar (total: 16.8s)

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
48.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify3.4s

Counts
55 → 55
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
097855
1209831
2558795
31461795
44342794
done5000794

prune204.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
7.5b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 101
Calls
2 calls:
29.0ms
(/ 1 (- 1.0 (/ y z)))
101.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series165.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ 1 (- 1.0 (/ y z)))
97.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify4.0s

Counts
107 → 107
Iterations

Useful iterations: 2 (263.0ms)

IterNodesCost
01471404
13451179
29981081
329561081
done50001081

prune320.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.2b

localize26.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.9b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
64.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
90.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series331.0ms

Counts
2 → 6
Calls
2 calls:
250.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
81.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.9s

Counts
205 → 205
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02494065
15793570
213513259
337103215
done50003215

prune531.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ 1 (- 1.0 (/ y z))) 3)
0.4b
(/ 1 (- 1.0 (/ y z)))
7.5b
(* (+ x y) (cbrt (pow (/ 1 (- 1.0 (/ y z))) 3)))
11.0b
(cbrt (pow (/ 1 (- 1.0 (/ y z))) 3))

rewrite415.0ms

Algorithm
rewrite-expression-head
Rules
209×add-sqr-sqrt
152×times-frac
128×*-un-lft-identity
116×cbrt-prod
80×add-cube-cbrt
75×unpow-prod-down cube-prod
57×associate-*r*
44×difference-of-squares
22×distribute-lft-out--
15×add-exp-log
14×associate-/r/
10×add-cbrt-cube
9×pow1 unswap-sqr
7×flip3-- flip-- div-inv
6×associate-/r*
5×cube-div
4×expm1-log1p-u cbrt-div div-exp associate-*l* pow-exp log1p-expm1-u add-log-exp sqr-pow
3×cube-mult pow-unpow pow-pow unpow3 associate-/l*
2×cbrt-undiv frac-times rec-exp pow-flip flip3-+ 1-exp associate-*l/ flip-+ inv-pow rem-cube-cbrt
1×pow-to-exp frac-2neg pow1/3 associate-*r/ pow-prod-down prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod distribute-lft-out
Counts
4 → 275
Calls
4 calls:
28.0ms
(pow (/ 1 (- 1.0 (/ y z))) 3)
38.0ms
(/ 1 (- 1.0 (/ y z)))
269.0ms
(* (+ x y) (cbrt (pow (/ 1 (- 1.0 (/ y z))) 3)))
53.0ms
(cbrt (pow (/ 1 (- 1.0 (/ y z))) 3))

series411.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(pow (/ 1 (- 1.0 (/ y z))) 3)
75.0ms
(/ 1 (- 1.0 (/ y z)))
80.0ms
(* (+ x y) (cbrt (pow (/ 1 (- 1.0 (/ y z))) 3)))
91.0ms
(cbrt (pow (/ 1 (- 1.0 (/ y z))) 3))

simplify1.6s

Counts
287 → 287
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02704999
16463793
217373421
done50003399

prune758.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.2b

regimes321.0ms

Accuracy

44.3% (1.1b remaining)

Error of 6.4b against oracle of 5.4b and baseline of 7.3b

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02569
13061
done3061

end0.0ms

sample912.0ms

Algorithm
intervals
Results
602.0ms8000×body80valid