Details

Time bar (total: 8.8s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify18.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize7.0ms

Local error

Found 1 expressions with local error:

8.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite43.0ms

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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
41.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify676.0ms

Counts
53 → 53

prune117.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- 1.0 (/ y z)))
8.3b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite110.0ms

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 frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ 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 → 97
Calls
2 calls:
28.0ms
(/ 1 (- 1.0 (/ y z)))
76.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series116.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ 1 (- 1.0 (/ y z)))
71.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify713.0ms

Counts
103 → 103

prune215.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.8b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite85.0ms

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×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
38.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
35.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series217.0ms

Counts
2 → 6
Calls
2 calls:
152.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
65.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify933.0ms

Counts
201 → 201

prune395.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.6b

localize17.0ms

Local error

Found 4 expressions with local error:

1.1b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
9.1b
(cbrt (- 1.0 (/ y z)))
9.1b
(cbrt (- 1.0 (/ y z)))
9.1b
(cbrt (- 1.0 (/ y z)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod cbrt-div
9×add-exp-log add-cube-cbrt flip3-- flip--
8×associate-/r/
7×times-frac add-cbrt-cube
6×difference-of-squares
4×pow1 frac-times associate-/l* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 81
Calls
4 calls:
75.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
14.0ms
(cbrt (- 1.0 (/ y z)))
12.0ms
(cbrt (- 1.0 (/ y z)))
8.0ms
(cbrt (- 1.0 (/ y z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
264.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
359.0ms
(cbrt (- 1.0 (/ y z)))
366.0ms
(cbrt (- 1.0 (/ y z)))
349.0ms
(cbrt (- 1.0 (/ y z)))

simplify1.0s

Counts
93 → 93

prune474.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 6.6b

regimes180.0ms

Accuracy

33.3% (1.2b remaining)

Error of 6.6b against oracle of 5.4b and baseline of 7.2b

bsearch2.0ms

simplify824.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
662.0ms7999×body80valid
0.0ms1×body1280valid