Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

272×

body

valid

simplify242.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	17	9
2	25	9
3	49	9
4	71	9
5	101	9
6	122	9
7	139	9
8	151	9
9	158	9
10	164	9
11	166	9
done	166	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
1.1b	(* (/ (- x y) (- z y)) t)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

30.0ms	(/ (- x y) (- z y))
87.0ms	(* (/ (- x y) (- z y)) t)

series235.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(/ (- x y) (- z y))
140.0ms	(* (/ (- x y) (- z y)) t)

simplify887.0ms

Counts

108 → 108

Iterations

Useful iterations: done (881.0ms)

Iter	Nodes	Cost
0	143	1303
1	372	1269
2	1459	1191
done	5000	1185

prune384.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

7.0ms	(cbrt (- x y))
4.0ms	(cbrt (- z y))
4.0ms	(cbrt (- z y))
4.0ms	(cbrt (- z y))

series852.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt (- x y))
196.0ms	(cbrt (- z y))
246.0ms	(cbrt (- z y))
207.0ms	(cbrt (- z y))

simplify1.1s

Counts

72 → 72

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	114	744
1	230	728
2	577	696
3	1900	648
done	5000	596

prune397.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))
1.1b	(* (/ (/ (- x y) (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (- z y))) t)

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

182×	`times-frac`
142×	`associate-l`
129×	`add-sqr-sqrt`
115×	`*-un-lft-identity`
104×	`cbrt-div`
102×	`cbrt-prod`
66×	`associate-/r/`
59×	`add-cube-cbrt`
52×	`flip3--` `flip--`
32×	`frac-times`
28×	`distribute-lft-out--` `difference-of-squares`
18×	`add-exp-log`
17×	`associate-*l/`
16×	`associate-*r/`
13×	`add-cbrt-cube`
9×	`div-inv`
6×	`pow1`
5×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3` `associate-r`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 213

Calls

4 calls:

8.0ms	(cbrt (- z y))
8.0ms	(cbrt (- z y))
8.0ms	(cbrt (- z y))
209.0ms	(* (/ (/ (- x y) (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (- z y))) t)

series724.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt (- z y))
210.0ms	(cbrt (- z y))
178.0ms	(cbrt (- z y))
127.0ms	(* (/ (/ (- x y) (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (- z y))) t)

simplify1.4s

Counts

225 → 225

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	292	4078
1	720	3956
2	2722	3556
done	5002	3398

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.1b	(* t (/ (- x y) (- z y)))
6.0b	(cbrt (* t (/ (- x y) (- z y))))
6.0b	(cbrt (* t (/ (- x y) (- z y))))
6.0b	(cbrt (* t (/ (- x y) (- z y))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 80

Calls

4 calls:

74.0ms	(* t (/ (- x y) (- z y)))
20.0ms	(cbrt (* t (/ (- x y) (- z y))))
24.0ms	(cbrt (* t (/ (- x y) (- z y))))
20.0ms	(cbrt (* t (/ (- x y) (- z y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

119.0ms	(* t (/ (- x y) (- z y)))
316.0ms	(cbrt (* t (/ (- x y) (- z y))))
292.0ms	(cbrt (* t (/ (- x y) (- z y))))
319.0ms	(cbrt (* t (/ (- x y) (- z y))))

simplify717.0ms

Counts

92 → 92

Iterations

Useful iterations: done (708.0ms)

Iter	Nodes	Cost
0	143	1172
1	356	1130
2	1319	999
done	5000	974

prune315.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes231.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	16	31
done	16	31

end0.0ms

sample915.0ms

Algorithm

intervals

Results

409.0ms

8710×

body

valid