Details

Time bar (total: 13.0s)

sample28.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize17.0ms

Local error

Found 1 expressions with local error:

7.6b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite22.0ms

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-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 53
Calls
1 calls:
21.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.5s

Counts
56 → 56
Iterations
IterNodes
done5000
31832
2584
1215
098

prune251.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (- 1.0 (/ y z)))
7.1b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×associate-*r* add-cube-cbrt
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×expm1-log1p-u frac-times cbrt-undiv rec-exp flip3-+ flip3-- 1-exp associate-*l/ cbrt-unprod flip-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip distribute-lft-out inv-pow
Counts
2 → 103
Calls
2 calls:
19.0ms
(/ 1 (- 1.0 (/ y z)))
55.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series170.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ 1 (- 1.0 (/ y z)))
91.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.6s

Counts
109 → 109
Iterations
IterNodes
done5000
34328
21231
1376
0149

prune369.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.7b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite48.0ms

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 clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 201
Calls
2 calls:
18.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
23.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series259.0ms

Counts
2 → 6
Calls
2 calls:
183.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
76.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.2s

Counts
207 → 207
Iterations
IterNodes
done5001
21973
1665
0251

prune518.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.1b

localize19.0ms

Local error

Found 4 expressions with local error:

1.8b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
7.9b
(cbrt (- 1.0 (/ y z)))
7.9b
(cbrt (- 1.0 (/ y z)))
7.9b
(cbrt (- 1.0 (/ y z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod cbrt-div
9×flip3-- add-exp-log add-cube-cbrt flip--
8×associate-/r/
7×times-frac add-cbrt-cube
6×difference-of-squares
4×expm1-log1p-u frac-times pow1 insert-posit16 log1p-expm1-u associate-/l* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv div-exp associate-*l/ associate-*r/ distribute-lft-out associate-/l/
1×clear-num associate-/r* frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ div-inv
Counts
4 → 93
Calls
4 calls:
29.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
4.0ms
(cbrt (- 1.0 (/ y z)))
4.0ms
(cbrt (- 1.0 (/ y z)))
4.0ms
(cbrt (- 1.0 (/ y z)))

series1.4s

Counts
4 → 12
Calls
4 calls:
263.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
360.0ms
(cbrt (- 1.0 (/ y z)))
398.0ms
(cbrt (- 1.0 (/ y z)))
351.0ms
(cbrt (- 1.0 (/ y z)))

simplify1.7s

Counts
105 → 105
Iterations
IterNodes
done5002
32469
2847
1348
0152

prune535.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 6.1b

regimes326.0ms

Accuracy

72.9% (0.5b remaining)

Error of 6.1b against oracle of 5.6b and baseline of 7.6b

bsearch1.0ms

simplify7.0ms

Iterations
IterNodes
done32
132
024

end0.0ms

sample796.0ms

Algorithm
intervals
Results
550.0ms7999×body80valid
0.0ms1×body1280valid