Details

sample46.0ms

Algorithm

intervals

Results

27.0ms

289×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
24	4971
23	4719
22	4472
21	4219
20	3966
19	3718
18	3457
17	3189
16	2922
15	2654
14	2345
13	1967
12	1369
11	756
10	502
9	395
8	317
7	231
6	150
5	116
4	85
3	55
2	33
1	17
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) t)
0.0b	(+ x (/ (* (- y z) t) (- a z)))
7.9b	(/ (* (- y z) t) (- a z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-l*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

17.0ms	(* (- y z) t)
18.0ms	(+ x (/ (* (- y z) t) (- a z)))
20.0ms	(/ (* (- y z) t) (- a z))

series185.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (- y z) t)
83.0ms	(+ x (/ (* (- y z) t) (- a z)))
71.0ms	(/ (* (- y z) t) (- a z))

simplify1.2s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1146
1	337
0	127

prune435.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
4.0b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac`
32×	`cbrt-prod`
30×	`associate-r`
25×	`add-exp-log`
24×	`add-cube-cbrt`
20×	`cbrt-div`
18×	`add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l/` `associate-r/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 126

Calls

4 calls:

5.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
5.0ms	(cbrt (- a z))
111.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series645.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (- a z))
165.0ms	(cbrt (- a z))
160.0ms	(cbrt (- a z))
137.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify2.1s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	2342
1	608
0	213

prune729.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
1.0b	(* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z))))
2.7b	(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

153×	`add-sqr-sqrt`
127×	`cbrt-prod`
118×	`times-frac`
101×	`*-un-lft-identity`
85×	`add-exp-log`
84×	`associate-l`
57×	`add-cube-cbrt`
41×	`add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
31×	`associate-r`
26×	`cbrt-undiv` `div-exp`
22×	`distribute-lft-out--` `difference-of-squares`
15×	`unswap-sqr`
11×	`pow1`
10×	`cbrt-div`
6×	`frac-times` `associate-*r/` `associate-/r/`
5×	`flip3--` `flip--`
4×	`pow-prod-down` `associate-*l/` `insert-posit16` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `*-commutative`

Counts

4 → 231

Calls

4 calls:

5.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
57.0ms	(* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z))))
117.0ms	(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

series1.9s

Counts

4 → 12

Calls

4 calls:

486.0ms	(cbrt (- a z))
169.0ms	(cbrt (- a z))
1.1s	(* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z))))
145.0ms	(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

simplify2.2s

Counts

243 → 243

Iterations

Iter	Nodes
done	5005
2	3626
1	1029
0	344

prune1.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
11.7b	(* (- y z) (/ t (- a z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r` `associate-l*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`insert-posit16` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 97

Calls

3 calls:

6.0ms	(+ x (* (- y z) (/ t (- a z))))
8.0ms	(/ t (- a z))
29.0ms	(* (- y z) (/ t (- a z)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ x (* (- y z) (/ t (- a z))))
31.0ms	(/ t (- a z))
93.0ms	(* (- y z) (/ t (- a z)))

simplify1.2s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	1452
1	392
0	157

prune439.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes641.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample1.2s

Algorithm

intervals

Results

785.0ms	8694×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid