Details

Time bar (total: 18.7s)

sample31.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize20.0ms

Local error

Found 1 expressions with local error:

7.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite45.0ms

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:
44.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series72.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.6s

Counts
56 → 56
Iterations
IterNodes
done5000
31832
2584
1215
098

prune268.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.9b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite142.0ms

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:
39.0ms
(/ 1 (- 1.0 (/ y z)))
96.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series206.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(/ 1 (- 1.0 (/ y z)))
114.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify3.4s

Counts
109 → 109
Iterations
IterNodes
done5000
34328
21231
1376
0149

prune417.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 5.9b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1 (- 1.0 (/ y z)))
0.6b
(/ 1 (- 1.0 (/ y z)))
6.9b
(sqrt (/ 1 (- 1.0 (/ y z))))
6.9b
(sqrt (/ 1 (- 1.0 (/ y z))))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
124×add-sqr-sqrt
90×times-frac
76×*-un-lft-identity
48×sqrt-prod
46×add-cube-cbrt
28×difference-of-squares
14×distribute-lft-out--
12×associate-/r* add-exp-log
10×pow1
8×add-cbrt-cube associate-/r/
6×rem-sqrt-square sqrt-pow1 associate-/l*
4×expm1-log1p-u flip3-- div-exp insert-posit16 log1p-expm1-u div-inv pow-flip flip-- inv-pow add-log-exp
2×cbrt-undiv rec-exp clear-num frac-2neg pow1/2 sqrt-div 1-exp
Counts
4 → 180
Calls
4 calls:
43.0ms
(/ 1 (- 1.0 (/ y z)))
29.0ms
(/ 1 (- 1.0 (/ y z)))
25.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
25.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

series659.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ 1 (- 1.0 (/ y z)))
81.0ms
(/ 1 (- 1.0 (/ y z)))
253.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
246.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

simplify2.0s

Counts
192 → 192
Iterations
IterNodes
done5001
42825
31032
2440
1229
0136

prune952.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 5.9b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (+ x y) (+ (sqrt 1.0) (/ (sqrt y) (sqrt z)))) (- (sqrt 1.0) (/ (sqrt y) (sqrt z))))
0.0b
(/ (+ x y) (+ (sqrt 1.0) (/ (sqrt y) (sqrt z))))
0.1b
(/ (sqrt y) (sqrt z))
0.1b
(/ (sqrt y) (sqrt z))

rewrite419.0ms

Algorithm
rewrite-expression-head
Rules
872×add-sqr-sqrt
820×times-frac
534×*-un-lft-identity
383×sqrt-prod
230×difference-of-squares
228×add-cube-cbrt
130×distribute-lft-out
38×associate-/l*
34×associate-/r/
30×associate-/r*
23×distribute-lft-out--
19×div-inv
17×flip3-+ flip-+
15×add-cbrt-cube add-exp-log
6×cbrt-undiv div-exp
4×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l/
2×sqrt-undiv
1×flip3-- flip--
Counts
4 → 535
Calls
4 calls:
242.0ms
(/ (/ (+ x y) (+ (sqrt 1.0) (/ (sqrt y) (sqrt z)))) (- (sqrt 1.0) (/ (sqrt y) (sqrt z))))
85.0ms
(/ (+ x y) (+ (sqrt 1.0) (/ (sqrt y) (sqrt z))))
15.0ms
(/ (sqrt y) (sqrt z))
15.0ms
(/ (sqrt y) (sqrt z))

series1.5s

Counts
4 → 12
Calls
4 calls:
1.0s
(/ (/ (+ x y) (+ (sqrt 1.0) (/ (sqrt y) (sqrt z)))) (- (sqrt 1.0) (/ (sqrt y) (sqrt z))))
338.0ms
(/ (+ x y) (+ (sqrt 1.0) (/ (sqrt y) (sqrt z))))
70.0ms
(/ (sqrt y) (sqrt z))
65.0ms
(/ (sqrt y) (sqrt z))

simplify3.6s

Counts
547 → 547
Iterations
IterNodes
done5000
23228
11043
0432

prune1.7s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 5.9b

regimes340.0ms

Accuracy

72% (0.5b remaining)

Error of 5.9b against oracle of 5.4b and baseline of 7.2b

bsearch2.0ms

simplify12.0ms

Iterations
IterNodes
done30
130
025

end0.0ms

sample1.0s

Algorithm
intervals
Results
828.0ms7999×body80valid
0.0ms1×body1280valid