Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

270×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (53.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	265	12
5	959	12
6	4331	12
done	5000	12

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

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-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

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

series205.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (- z y) (+ (- t z) 1.0))
139.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify626.0ms

Counts

70 → 70

Iterations

Useful iterations: done (624.0ms)

Iter	Nodes	Cost
0	116	1048
1	284	1006
2	1028	942
done	5001	936

prune191.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite166.0ms

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` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`associate-+l-` `pow-flip` `flip3-+` `div-sub` `flip-+` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

97.0ms	(/ (+ (- t z) 1.0) (- z y))
0.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
55.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

series380.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ (+ (- t z) 1.0) (- z y))
185.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
125.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

simplify1.8s

Counts

223 → 223

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	260	4252
1	671	3672
2	3840	3450
done	5002	3449

prune532.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 126

Calls

3 calls:

45.0ms	(/ 1 (+ (- t z) 1.0))
0.0ms	(fma a (* (/ 1 (+ (- t z) 1.0)) (- z y)) x)
125.0ms	(* (/ 1 (+ (- t z) 1.0)) (- z y))

series372.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ 1 (+ (- t z) 1.0))
206.0ms	(fma a (* (/ 1 (+ (- t z) 1.0)) (- z y)) x)
112.0ms	(* (/ 1 (+ (- t z) 1.0)) (- z y))

simplify3.0s

Counts

135 → 135

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	225	2327
1	629	2049
2	4074	1638
done	5000	1637

prune410.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

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)
9.3b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite326.0ms

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-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `fma-neg` `div-sub` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+` `associate--r-`

Counts

3 → 501

Calls

3 calls:

128.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
70.0ms	(/ (+ (- t z) 1.0) a)
64.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series326.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
34.0ms	(/ (+ (- t z) 1.0) a)
154.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify859.0ms

Counts

510 → 510

Iterations

Useful iterations: done (824.0ms)

Iter	Nodes	Cost
0	659	29857
1	1936	27946
done	5001	22122

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	14
1	16	14
done	16	14

end0.0ms

sample916.0ms

Algorithm

intervals

Results

453.0ms	8481×	body	80	valid
0.0ms	2×	body	320	valid