Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

277×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	61	10
4	103	10
5	157	10
6	210	10
7	265	10
8	350	10
9	441	10
10	690	10
11	872	10
12	1071	10
13	1174	10
14	1183	10
done	1183	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.4b	(fma (/ y (- z a)) (- z t) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

5.0ms	(/ y (- z a))
0.0ms	(fma (/ y (- z a)) (- z t) x)

series108.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ y (- z a))
79.0ms	(fma (/ y (- z a)) (- z t) x)

simplify1.9s

Counts

55 → 55

Iterations

Useful iterations: 4 (639.0ms)

Iter	Nodes	Cost
0	92	552
1	175	535
2	460	495
3	1280	495
4	3829	494
done	5001	494

prune145.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) y)
0.4b	(/ 1 (/ (- z a) y))
2.4b	(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `fma-udef` `inv-pow`

Counts

3 → 152

Calls

3 calls:

8.0ms	(/ (- z a) y)
9.0ms	(/ 1 (/ (- z a) y))
0.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

series187.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (- z a) y)
72.0ms	(/ 1 (/ (- z a) y))
89.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify3.4s

Counts

161 → 161

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	210	2152
1	479	1891
2	1589	1582
3	3968	1552
done	5000	1550

prune289.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) y)
7.8b	(/ (- z t) (/ (- z a) y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
170×	`add-sqr-sqrt` `*-un-lft-identity`
86×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 179

Calls

2 calls:

8.0ms	(/ (- z a) y)
16.0ms	(/ (- z t) (/ (- z a) y))

series128.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (- z a) y)
101.0ms	(/ (- z t) (/ (- z a) y))

simplify994.0ms

Counts

185 → 185

Iterations

Useful iterations: 2 (210.0ms)

Iter	Nodes	Cost
0	251	3162
1	711	2968
2	2632	2866
done	5000	2866

prune435.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.2b	(* y (/ (- z t) (- z a)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
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-l` `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` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

12.0ms	(/ (- z t) (- z a))
24.0ms	(* y (/ (- z t) (- z a)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- z t) (- z a))
70.0ms	(* y (/ (- z t) (- z a)))

simplify555.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	142	1355
1	361	1282
2	1323	1200
done	5001	1200

prune254.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	17	11
2	19	11
done	19	11

end0.0ms

sample521.0ms

Algorithm

intervals

Results

268.0ms	8737×	body	80	valid
0.0ms	1×	body	320	valid