Details

Time bar (total: 15.4s)

sample29.0ms

Algorithm
intervals
Results
12.0ms256×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: 7.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
7.1b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
10.0ms
(- 1.0 (/ y z))
35.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(- 1.0 (/ y z))
69.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.5s

Counts
71 → 71
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
01041002
1226974
2705928
33064928
done5001928

prune262.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.8b
(/ 1 (- 1.0 (/ y z)))
6.3b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
25×add-cube-cbrt
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×flip3-- flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
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 → 112
Calls
3 calls:
20.0ms
(- 1.0 (/ y z))
36.0ms
(/ 1 (- 1.0 (/ y z)))
111.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series172.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- 1.0 (/ y z))
69.0ms
(/ 1 (- 1.0 (/ y z)))
78.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify1.6s

Counts
121 → 121
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01521531
13871367
218941204
done50011198

prune497.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (/ (+ x y) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (/ (sqrt 1) (cbrt (- 1.0 (/ y z)))))
7.4b
(cbrt (- 1.0 (/ y z)))
7.4b
(cbrt (- 1.0 (/ y z)))
7.4b
(cbrt (- 1.0 (/ y z)))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
955×times-frac
916×add-sqr-sqrt
635×*-un-lft-identity
578×cbrt-prod
384×associate-*l*
285×add-cube-cbrt
174×difference-of-squares
87×distribute-lft-out--
81×distribute-lft-out
60×associate-*r*
55×sqrt-prod
49×unswap-sqr
28×cbrt-div
25×add-exp-log
22×associate-/r/
16×add-cbrt-cube
14×flip3-- flip--
11×div-inv
9×cbrt-undiv div-exp
6×pow1 prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 565
Calls
4 calls:
1.1s
(* (/ (/ (+ x y) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (/ (sqrt 1) (cbrt (- 1.0 (/ y z)))))
9.0ms
(cbrt (- 1.0 (/ y z)))
9.0ms
(cbrt (- 1.0 (/ y z)))
16.0ms
(cbrt (- 1.0 (/ y z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (/ (/ (+ x y) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (/ (sqrt 1) (cbrt (- 1.0 (/ y z)))))
403.0ms
(cbrt (- 1.0 (/ y z)))
402.0ms
(cbrt (- 1.0 (/ y z)))
417.0ms
(cbrt (- 1.0 (/ y z)))

simplify1.4s

Counts
577 → 577
Iterations

Useful iterations: done (1.3s)

IterNodesCost
055217697
1186816599
done500115257

prune3.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.1b
(pow (- 1.0 (/ y z)) 3)
7.1b
(/ (+ x y) (cbrt (pow (- 1.0 (/ y z)) 3)))
11.4b
(cbrt (pow (- 1.0 (/ y z)) 3))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
127×add-sqr-sqrt
126×*-un-lft-identity
108×cbrt-prod
99×times-frac
52×add-cube-cbrt
42×unpow-prod-down cube-prod
30×difference-of-squares
22×distribute-lft-out
21×associate-/r*
15×distribute-lft-out--
7×add-exp-log cube-mult unpow3 sqr-pow
6×cube-div add-cbrt-cube add-log-exp
5×pow1
4×cbrt-div flip3-- flip-- associate-/l*
3×pow-unpow
2×associate-/r/ associate-/l/
1×cbrt-undiv pow-to-exp sub-neg pow-pow frac-2neg flip3-+ pow1/3 diff-log div-exp pow-exp clear-num rem-cbrt-cube flip-+ div-inv rem-cube-cbrt
Counts
4 → 200
Calls
4 calls:
11.0ms
(- 1.0 (/ y z))
22.0ms
(pow (- 1.0 (/ y z)) 3)
80.0ms
(/ (+ x y) (cbrt (pow (- 1.0 (/ y z)) 3)))
37.0ms
(cbrt (pow (- 1.0 (/ y z)) 3))

series143.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- 1.0 (/ y z))
39.0ms
(pow (- 1.0 (/ y z)) 3)
69.0ms
(/ (+ x y) (cbrt (pow (- 1.0 (/ y z)) 3)))
18.0ms
(cbrt (pow (- 1.0 (/ y z)) 3))

simplify1.9s

Counts
212 → 212
Iterations

Useful iterations: 2 (443.0ms)

IterNodesCost
02154029
15193196
231002986
done50022986

prune582.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 5.2b

regimes353.0ms

Accuracy

57.4% (0.9b remaining)

Error of 6.3b against oracle of 5.4b and baseline of 7.5b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02469
13061
done3061

end0.0ms

sample825.0ms

Algorithm
intervals
Results
428.0ms7998×body80valid
0.0ms2×body1280valid