Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

268×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ 1.0 (- t z)))
0.1b	(fma a (/ (- z y) (+ 1.0 (- t z))) x)

rewrite74.0ms

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:

69.0ms	(/ (- z y) (+ 1.0 (- t z)))
0.0ms	(fma a (/ (- z y) (+ 1.0 (- t z))) x)

series283.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(/ (- z y) (+ 1.0 (- t z)))
205.0ms	(fma a (/ (- z y) (+ 1.0 (- t z))) x)

simplify1.0s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1021
1	284
0	116

prune442.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ 1.0 (- t z)))
0.1b	(fma a (* (- z y) (/ 1 (+ 1.0 (- t z)))) x)
0.2b	(* (- z y) (/ 1 (+ 1.0 (- t z))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

32.0ms	(/ 1 (+ 1.0 (- t z)))
0.0ms	(fma a (* (- z y) (/ 1 (+ 1.0 (- t z)))) x)
98.0ms	(* (- z y) (/ 1 (+ 1.0 (- t z))))

series299.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ 1 (+ 1.0 (- t z)))
149.0ms	(fma a (* (- z y) (/ 1 (+ 1.0 (- t z)))) x)
82.0ms	(* (- z y) (/ 1 (+ 1.0 (- t z))))

simplify4.1s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	2878
1	408
0	156

prune718.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
9.2b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite803.0ms

Algorithm

rewrite-expression-head

Rules

874×	`*-un-lft-identity`
713×	`times-frac`
546×	`add-sqr-sqrt`
383×	`add-cube-cbrt`
300×	`prod-diff`
145×	`distribute-lft-out--`
134×	`distribute-lft-out`
80×	`difference-of-squares`
26×	`div-inv`
22×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `fma-neg` `div-sub` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+` `associate--r-`

Counts

3 → 501

Calls

3 calls:

566.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
110.0ms	(/ (+ (- t z) 1.0) a)
74.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series476.0ms

Counts

3 → 9

Calls

3 calls:

193.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
79.0ms	(/ (+ (- t z) 1.0) a)
203.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.9s

Counts

510 → 510

Iterations

Iter	Nodes
done	5000
1	1940
0	661

prune2.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.7b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite642.0ms

Algorithm

rewrite-expression-head

Rules

4100×	`times-frac`
3786×	`*-un-lft-identity`
2452×	`add-sqr-sqrt`
1885×	`add-cube-cbrt`
1224×	`prod-diff`
543×	`distribute-lft-out--`
542×	`distribute-lft-out`
278×	`difference-of-squares`
183×	`div-inv`
112×	`associate-/r/`
54×	`flip3-+` `flip-+`
36×	`associate-/l*`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`add-cbrt-cube` `div-exp`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `fma-neg` `log1p-expm1-u` `associate-/l/`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 1778

Calls

3 calls:

245.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
73.0ms	(/ (- y z) (+ (- t z) 1.0))
96.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series456.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
67.0ms	(/ (- y z) (+ (- t z) 1.0))
240.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify3.2s

Counts

1787 → 1787

Iterations

Iter	Nodes
done	5001
0	2151

prune10.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes520.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample964.0ms

Algorithm

intervals

Results

601.0ms	8458×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid