Details

Time bar (total: 16.3s)

sample25.0ms

Algorithm
intervals
Results
14.0ms255×body80valid
0.0ms1×body1280valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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:
32.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series94.0ms

Counts
1 → 3
Calls
1 calls:
94.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.4s

Counts
56 → 56
Iterations
IterNodes
done5000
31832
2584
1215
098

prune249.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
6.4b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite59.0ms

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:
12.0ms
(/ 1 (- 1.0 (/ y z)))
45.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series179.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(/ 1 (- 1.0 (/ y z)))
95.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify3.0s

Counts
109 → 109
Iterations
IterNodes
done5000
34328
21231
1376
0149

prune337.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (+ y x) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
6.9b
(cbrt (- 1.0 (/ y z)))
6.9b
(cbrt (- 1.0 (/ y z)))
6.9b
(cbrt (- 1.0 (/ y z)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
824×times-frac
703×add-sqr-sqrt
625×*-un-lft-identity
516×cbrt-prod
273×add-cube-cbrt
172×difference-of-squares
90×distribute-lft-out
86×distribute-lft-out--
42×associate-/l*
28×cbrt-div
22×associate-/r/
14×flip3-- flip--
11×div-inv
9×associate-/r* add-exp-log
6×add-cbrt-cube
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×clear-num frac-2neg associate-/l/
Counts
4 → 506
Calls
4 calls:
50.0ms
(/ (/ (+ y x) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
4.0ms
(cbrt (- 1.0 (/ y z)))
4.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series1.5s

Counts
4 → 12
Calls
4 calls:
311.0ms
(/ (/ (+ y x) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
377.0ms
(cbrt (- 1.0 (/ y z)))
375.0ms
(cbrt (- 1.0 (/ y z)))
389.0ms
(cbrt (- 1.0 (/ y z)))

simplify2.2s

Counts
518 → 518
Iterations
IterNodes
done5015
22739
11268
0557

prune2.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.3b

localize48.0ms

Local error

Found 4 expressions with local error:

6.9b
(cbrt (- 1.0 (/ y z)))
6.9b
(cbrt (- 1.0 (/ y z)))
6.9b
(cbrt (- 1.0 (/ y z)))
6.9b
(cbrt (- 1.0 (/ y z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×cbrt-prod
16×*-un-lft-identity
8×cbrt-div add-cube-cbrt difference-of-squares
4×expm1-log1p-u pow1 times-frac flip3-- add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- add-log-exp
Counts
4 → 76
Calls
4 calls:
7.0ms
(cbrt (- 1.0 (/ y z)))
7.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
7.0ms
(cbrt (- 1.0 (/ y z)))

series1.8s

Counts
4 → 12
Calls
4 calls:
463.0ms
(cbrt (- 1.0 (/ y z)))
474.0ms
(cbrt (- 1.0 (/ y z)))
404.0ms
(cbrt (- 1.0 (/ y z)))
417.0ms
(cbrt (- 1.0 (/ y z)))

simplify1.8s

Counts
88 → 88
Iterations
IterNodes
done5026
42859
3858
2313
1144
069

prune584.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 4.3b

regimes286.0ms

Accuracy

82.6% (0.3b remaining)

Error of 6.1b against oracle of 5.7b and baseline of 7.7b

bsearch2.0ms

simplify6.0ms

Iterations
IterNodes
done32
132
024

end0.0ms

sample582.0ms

Algorithm
intervals
Results
409.0ms7999×body80valid
0.0ms1×body1280valid