Details

sample43.0ms

Algorithm

intervals

Results

17.0ms

280×

body

valid

simplify346.0ms

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	77	9
5	109	9
6	138	9
7	155	9
8	170	9
9	177	9
10	183	9
11	185	9
done	185	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
2.5b	(* (/ (- x y) (- z y)) t)

rewrite105.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

25.0ms	(/ (- x y) (- z y))
68.0ms	(* (/ (- x y) (- z y)) t)

series230.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (- x y) (- z y))
158.0ms	(* (/ (- x y) (- z y)) t)

simplify910.0ms

Counts

112 → 112

Iterations

Useful iterations: done (906.0ms)

Iter	Nodes	Cost
0	147	1339
1	381	1303
2	1476	1225
done	5001	1219

prune300.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (- z y))
0.0b	(- (/ x (- z y)) (/ y (- z y)))
0.0b	(/ y (- z y))
2.5b	(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite774.0ms

Algorithm

rewrite-expression-head

Rules

743×	`*-un-lft-identity`
725×	`add-sqr-sqrt`
711×	`times-frac`
441×	`prod-diff`
417×	`add-cube-cbrt`
161×	`distribute-lft-out--`
149×	`difference-of-squares`
98×	`associate-/r/`
51×	`flip3--` `flip--`
49×	`div-inv`
21×	`fma-neg`
18×	`associate-l`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`pow1` `distribute-rgt-out--` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
3×	`associate-r`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 610

Calls

4 calls:

14.0ms	(/ x (- z y))
146.0ms	(- (/ x (- z y)) (/ y (- z y)))
21.0ms	(/ y (- z y))
511.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

series391.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ x (- z y))
120.0ms	(- (/ x (- z y)) (/ y (- z y)))
54.0ms	(/ y (- z y))
166.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify2.3s

Counts

622 → 622

Iterations

Useful iterations: 2 (834.0ms)

Iter	Nodes	Cost
0	593	28840
1	1337	26001
2	4361	20611
done	5000	20611

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
0.0b	(/ y (- z y))
0.4b	(/ 1 (/ (- z y) x))
2.5b	(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

3348×	`times-frac`
2532×	`add-sqr-sqrt`
2496×	`*-un-lft-identity`
1664×	`add-cube-cbrt`
1302×	`prod-diff`
420×	`difference-of-squares`
410×	`distribute-lft-out--`
158×	`div-inv`
149×	`associate-/r/`
65×	`flip3--` `flip--`
62×	`fma-neg`
24×	`associate-/r*`
19×	`add-exp-log`
17×	`associate-l`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-*l/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `frac-sub`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 1571

Calls

4 calls:

238.0ms	(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
13.0ms	(/ y (- z y))
27.0ms	(/ 1 (/ (- z y) x))
731.0ms	(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

series599.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
61.0ms	(/ y (- z y))
86.0ms	(/ 1 (/ (- z y) x))
256.0ms	(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

simplify1.9s

Counts

1583 → 1583

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	1319	89896
1	2940	77208
done	5000	68572

prune2.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- z y))
9.3b	(* (- x y) (/ t (- z y)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-l` `associate-/r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 87

Calls

2 calls:

15.0ms	(/ t (- z y))
91.0ms	(* (- x y) (/ t (- z y)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ t (- z y))
76.0ms	(* (- x y) (/ t (- z y)))

simplify887.0ms

Counts

93 → 93

Iterations

Useful iterations: done (884.0ms)

Iter	Nodes	Cost
0	134	1009
1	325	968
2	1682	896
done	5001	888

prune207.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

5.4% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.5b

bsearch77.0ms

Steps

Iters	Range		Point
4	2.7317800781828354e-67	4.9203326284253484e-67	2.7696572249423606e-67
10	-1.195490085819535e-191	-1.1914193526339095e-204	-1.5760713197920233e-193

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	43
1	23	31
done	23	31

end0.0ms

sample1.1s

Algorithm

intervals

Results

371.0ms

8671×

body

valid