Details

sample39.0ms

Algorithm

intervals

Results

15.0ms

279×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4400
5	954
4	265
3	108
2	58
1	25
0	12

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ 1.0 (- t z)))
0.3b	(fma a (/ (- z y) (+ 1.0 (- t z))) x)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

57.0ms	(/ (- z y) (+ 1.0 (- t z)))
0.0ms	(fma a (/ (- z y) (+ 1.0 (- t z))) x)

series238.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(/ (- z y) (+ 1.0 (- t z)))
148.0ms	(fma a (/ (- z y) (+ 1.0 (- t z))) x)

simplify565.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1021
1	284
0	116

prune359.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ 1.0 (- t z)) (- z y))
0.3b	(fma a (/ 1 (/ (+ 1.0 (- t z)) (- z y))) x)
0.3b	(/ 1 (/ (+ 1.0 (- t z)) (- z y)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
218×	`times-frac`
143×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out` `distribute-lft-out--`
36×	`associate-/r*`
26×	`difference-of-squares`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3--` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`associate-+r-` `flip3-+` `div-sub` `flip-+` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 214

Calls

3 calls:

56.0ms	(/ (+ 1.0 (- t z)) (- z y))
0.0ms	(fma a (/ 1 (/ (+ 1.0 (- t z)) (- z y))) x)
44.0ms	(/ 1 (/ (+ 1.0 (- t z)) (- z y)))

series486.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (+ 1.0 (- t z)) (- z y))
239.0ms	(fma a (/ 1 (/ (+ 1.0 (- t z)) (- z y))) x)
157.0ms	(/ 1 (/ (+ 1.0 (- t z)) (- z y)))

simplify1.4s

Counts

223 → 223

Iterations

Iter	Nodes
done	5002
2	3661
1	668
0	260

prune843.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z y))
0.2b	(* (+ 1.0 (- t z)) (/ 1 (- z y)))
0.3b	(fma a (/ 1 (* (+ 1.0 (- t z)) (/ 1 (- z y)))) x)
0.3b	(/ 1 (* (+ 1.0 (- t z)) (/ 1 (- z y))))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
47×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
35×	`times-frac`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube` `div-exp`
16×	`prod-exp`
10×	`pow1` `rec-exp` `1-exp` `associate-/r/`
8×	`distribute-lft-out--`
7×	`difference-of-squares`
6×	`cbrt-undiv` `associate-/r` `associate-/l`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `flip3-+` `associate-*l/` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3--` `pow-prod-down` `associate-*r/` `un-div-inv` `flip--` `distribute-lft-out` `inv-pow`
1×	`*-commutative` `fma-udef`

Counts

4 → 151

Calls

4 calls:

11.0ms	(/ 1 (- z y))
96.0ms	(* (+ 1.0 (- t z)) (/ 1 (- z y)))
0.0ms	(fma a (/ 1 (* (+ 1.0 (- t z)) (/ 1 (- z y)))) x)
54.0ms	(/ 1 (* (+ 1.0 (- t z)) (/ 1 (- z y))))

series539.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ 1 (- z y))
99.0ms	(* (+ 1.0 (- t z)) (/ 1 (- z y)))
237.0ms	(fma a (/ 1 (* (+ 1.0 (- t z)) (/ 1 (- z y)))) x)
147.0ms	(/ 1 (* (+ 1.0 (- t z)) (/ 1 (- z y))))

simplify3.9s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	4059
1	583
0	216

prune810.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1.0 (- t z)))
0.0b	(/ 1 (- z y))
0.2b	(/ (/ 1 (+ 1.0 (- t z))) (/ 1 (- z y)))
0.3b	(fma a (/ (/ 1 (+ 1.0 (- t z))) (/ 1 (- z y))) x)

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
910×	`*-un-lft-identity`
560×	`add-sqr-sqrt`
420×	`add-cube-cbrt`
140×	`distribute-lft-out` `distribute-lft-out--`
93×	`associate-/r/`
70×	`difference-of-squares`
52×	`add-exp-log`
47×	`div-inv`
36×	`div-exp`
31×	`associate-/r*`
27×	`associate-/l*`
23×	`flip3-+` `flip3--` `flip-+` `flip--`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-flip` `inv-pow`
1×	`fma-udef` `associate-/l/`

Counts

4 → 613

Calls

4 calls:

46.0ms	(/ 1 (+ 1.0 (- t z)))
22.0ms	(/ 1 (- z y))
77.0ms	(/ (/ 1 (+ 1.0 (- t z))) (/ 1 (- z y)))
0.0ms	(fma a (/ (/ 1 (+ 1.0 (- t z))) (/ 1 (- z y))) x)

series554.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ 1 (+ 1.0 (- t z)))
64.0ms	(/ 1 (- z y))
157.0ms	(/ (/ 1 (+ 1.0 (- t z))) (/ 1 (- z y)))
278.0ms	(fma a (/ (/ 1 (+ 1.0 (- t z))) (/ 1 (- z y))) x)

simplify1.8s

Counts

625 → 625

Iterations

Iter	Nodes
done	5000
1	2297
0	665

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes340.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.2s

Algorithm

intervals

Results

590.0ms	8458×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	640	valid