Details

Time bar (total: 7.6s)

sample19.0ms

Algorithm
intervals
Results
9.0ms256×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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(- 1.0 (/ y z))
56.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify805.0ms

Counts
117 → 117
Iterations

Useful iterations: done (801.0ms)

IterNodesCost
02202574
14982334
213711799
done50001793

prune241.0ms

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))))

rewrite69.0ms

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

series130.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- 1.0 (/ y z))
51.0ms
(/ 1 (- 1.0 (/ y z)))
60.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify1.1s

Counts
169 → 169
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02703123
16382682
217462085
done50002079

prune351.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.6b

localize9.0ms

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))

rewrite75.0ms

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)))
30.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series202.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(- 1.0 (/ y z))
131.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
50.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.2s

Counts
267 → 267
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03725784
18925073
222414263
done50004257

prune462.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
0.1b
(* (/ (+ x y) (sqrt (- 1.0 (/ y z)))) (/ 1 (sqrt (- 1.0 (/ y z)))))
3.4b
(sqrt (- 1.0 (/ y z)))
3.4b
(sqrt (- 1.0 (/ y z)))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
178×add-sqr-sqrt
135×times-frac
132×*-un-lft-identity
95×sqrt-prod
60×add-cube-cbrt
42×associate-*l*
33×associate-*r*
28×add-exp-log difference-of-squares
19×distribute-lft-out
18×add-cbrt-cube
15×unswap-sqr
14×distribute-lft-out--
10×sqrt-div
9×div-exp associate-/r*
8×pow1 prod-exp
6×associate-/r/
5×cbrt-undiv flip3-- flip--
4×expm1-log1p-u cbrt-unprod log1p-expm1-u associate-/l* add-log-exp
3×div-inv
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-/l/
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative flip-+
Counts
4 → 224
Calls
4 calls:
22.0ms
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
92.0ms
(* (/ (+ x y) (sqrt (- 1.0 (/ y z)))) (/ 1 (sqrt (- 1.0 (/ y z)))))
17.0ms
(sqrt (- 1.0 (/ y z)))
20.0ms
(sqrt (- 1.0 (/ y z)))

series309.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
55.0ms
(* (/ (+ x y) (sqrt (- 1.0 (/ y z)))) (/ 1 (sqrt (- 1.0 (/ y z)))))
90.0ms
(sqrt (- 1.0 (/ y z)))
91.0ms
(sqrt (- 1.0 (/ y z)))

simplify1.2s

Counts
236 → 236
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02604751
17124292
218383730
done50013678

prune601.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.6b

regimes145.0ms

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

sample381.0ms

Algorithm
intervals
Results
214.0ms8000×body80valid