Details

Time bar (total: 14.5s)

sample22.0ms

Algorithm
intervals
Results
11.0ms255×body80valid
0.0ms1×body1280valid

simplify7.0ms

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

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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×pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 51
Calls
1 calls:
34.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.2s

Counts
54 → 54
Iterations
IterNodes
done5001
31639
2572
1210
096

prune204.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.3b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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×frac-times cbrt-undiv rec-exp flip3-+ flip3-- 1-exp associate-*l/ cbrt-unprod flip-+ insert-posit16 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 → 99
Calls
2 calls:
13.0ms
(/ 1 (- 1.0 (/ y z)))
31.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series122.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ 1 (- 1.0 (/ y z)))
57.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.1s

Counts
105 → 105
Iterations
IterNodes
done5002
33212
21075
1369
0145

prune363.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (+ x y) (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)))

rewrite88.0ms

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×pow1 insert-posit16 add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×clear-num frac-2neg associate-/l/
Counts
4 → 498
Calls
4 calls:
51.0ms
(/ (/ (+ x y) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
5.0ms
(cbrt (- 1.0 (/ y z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
274.0ms
(/ (/ (+ x y) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
345.0ms
(cbrt (- 1.0 (/ y z)))
336.0ms
(cbrt (- 1.0 (/ y z)))
326.0ms
(cbrt (- 1.0 (/ y z)))

simplify2.0s

Counts
510 → 510
Iterations
IterNodes
done5000
22628
11254
0553

prune2.0s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.3b

localize56.0ms

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)))

rewrite21.0ms

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×pow1 times-frac flip3-- add-cbrt-cube pow1/3 add-exp-log insert-posit16 flip-- distribute-lft-out-- add-log-exp
Counts
4 → 68
Calls
4 calls:
6.0ms
(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)))

series2.0s

Counts
4 → 12
Calls
4 calls:
380.0ms
(cbrt (- 1.0 (/ y z)))
436.0ms
(cbrt (- 1.0 (/ y z)))
720.0ms
(cbrt (- 1.0 (/ y z)))
414.0ms
(cbrt (- 1.0 (/ y z)))

simplify1.5s

Counts
80 → 80
Iterations
IterNodes
done5000
42775
3824
2300
1139
067

prune491.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 4.3b

regimes261.0ms

Accuracy

82.6% (0.3b remaining)

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

bsearch1.0ms

simplify6.0ms

Iterations
IterNodes
done32
132
024

end0.0ms

sample529.0ms

Algorithm
intervals
Results
356.0ms7999×body80valid
0.0ms1×body1280valid