Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

281×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	3462
10	1180
9	657
8	399
7	313
6	270
5	179
4	104
3	59
2	36
1	20
0	10

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.5b	(fma (/ (- z t) (- a t)) y x)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

36.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) y x)

series205.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(/ (- z t) (- a t))
114.0ms	(fma (/ (- z t) (- a t)) y x)

simplify1.8s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4648
2	833
1	264
0	113

prune439.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.0b	(+ (/ y (/ (- a t) (- z t))) x)
1.8b	(/ y (/ (- a t) (- z t)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

386×	`times-frac`
322×	`*-un-lft-identity`
320×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
98×	`fma-def`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
18×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log` `div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 310

Calls

3 calls:

24.0ms	(/ (- a t) (- z t))
121.0ms	(+ (/ y (/ (- a t) (- z t))) x)
26.0ms	(/ y (/ (- a t) (- z t)))

series636.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (- a t) (- z t))
322.0ms	(+ (/ y (/ (- a t) (- z t))) x)
223.0ms	(/ y (/ (- a t) (- z t)))

simplify1.4s

Counts

319 → 319

Iterations

Iter	Nodes
done	5002
2	4051
1	812
0	298

prune2.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (/ (/ (- a t) y) (- z t))) x)
0.0b	(/ (- a t) y)
0.5b	(/ 1 (/ (/ (- a t) y) (- z t)))
10.7b	(/ (/ (- a t) y) (- z t))

rewrite586.0ms

Algorithm

rewrite-expression-head

Rules

1996×	`times-frac`
1310×	`*-un-lft-identity`
1307×	`add-sqr-sqrt`
747×	`add-cube-cbrt`
308×	`fma-def`
280×	`distribute-lft-out--` `difference-of-squares`
109×	`associate-/r*`
53×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`associate-/r/`
10×	`cbrt-undiv`
9×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `div-sub` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 936

Calls

4 calls:

343.0ms	(+ (/ 1 (/ (/ (- a t) y) (- z t))) x)
15.0ms	(/ (- a t) y)
70.0ms	(/ 1 (/ (/ (- a t) y) (- z t)))
31.0ms	(/ (/ (- a t) y) (- z t))

series765.0ms

Counts

4 → 12

Calls

4 calls:

324.0ms	(+ (/ 1 (/ (/ (- a t) y) (- z t))) x)
52.0ms	(/ (- a t) y)
269.0ms	(/ 1 (/ (/ (- a t) y) (- z t)))
120.0ms	(/ (/ (- a t) y) (- z t))

simplify1.6s

Counts

948 → 948

Iterations

Iter	Nodes
done	5000
1	2133
0	712

prune5.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(+ (/ (* (/ 1 (- a t)) y) (/ 1 (- z t))) x)
0.2b	(* (/ 1 (- a t)) y)
10.4b	(/ (* (/ 1 (- a t)) y) (/ 1 (- z t)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
91×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
82×	`add-exp-log`
52×	`add-cube-cbrt`
42×	`div-exp`
32×	`add-cbrt-cube`
26×	`associate-/r*` `fma-def`
21×	`associate-l`
20×	`prod-exp`
16×	`distribute-lft-out--` `difference-of-squares`
13×	`cbrt-undiv`
12×	`associate-/r/`
11×	`rec-exp` `1-exp`
7×	`pow1` `div-inv`
6×	`cbrt-unprod` `add-log-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`associate-r` `unswap-sqr`
2×	`clear-num` `frac-2neg` `associate-*l/`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `*-commutative` `flip-+` `pow-flip` `distribute-lft-out` `inv-pow` `associate-/l/`

Counts

4 → 211

Calls

4 calls:

18.0ms	(/ 1 (- z t))
67.0ms	(+ (/ (* (/ 1 (- a t)) y) (/ 1 (- z t))) x)
30.0ms	(* (/ 1 (- a t)) y)
44.0ms	(/ (* (/ 1 (- a t)) y) (/ 1 (- z t)))

series771.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ 1 (- z t))
367.0ms	(+ (/ (* (/ 1 (- a t)) y) (/ 1 (- z t))) x)
115.0ms	(* (/ 1 (- a t)) y)
237.0ms	(/ (* (/ 1 (- a t)) y) (/ 1 (- z t)))

simplify500.0ms

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
1	804
0	272

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes488.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

657.0ms	8720×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid