Details

sample59.0ms

Algorithm

intervals

Results

21.0ms

281×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4206
9	1419
8	740
7	408
6	286
5	190
4	115
3	60
2	32
1	17
0	10

prune16.0ms

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

rewrite28.0ms

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:

25.0ms	(/ (- z t) (- a t))
0.0ms	(fma y (/ (- z t) (- a t)) x)

series217.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(/ (- z t) (- a t))
113.0ms	(fma y (/ (- z t) (- a t)) x)

simplify2.0s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4356
2	831
1	264
0	113

prune514.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.5b	(/ 1 (/ (- a t) (- z t)))
1.5b	(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `div-inv` `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×	`div-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 214

Calls

3 calls:

40.0ms	(/ (- a t) (- z t))
32.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

series561.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ (- a t) (- z t))
190.0ms	(/ 1 (/ (- a t) (- z t)))
296.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify2.0s

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
2	4061
1	703
0	270

prune879.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ (- z t) (- a t)) y x))
1.5b	(fma (/ (- z t) (- a t)) y x)
1.5b	(fma (/ (- z t) (- a t)) y x)
1.5b	(fma (/ (- z t) (- a t)) y x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

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

series1.3s

Counts

4 → 12

Calls

4 calls:

880.0ms	(cbrt (fma (/ (- z t) (- a t)) y x))
116.0ms	(fma (/ (- z t) (- a t)) y x)
145.0ms	(fma (/ (- z t) (- a t)) y x)
123.0ms	(fma (/ (- z t) (- a t)) y x)

simplify728.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	1278
2	279
1	119
0	60

prune427.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
47×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
21×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r` `associate-r*` `add-log-exp`
4×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 145

Calls

3 calls:

9.0ms	(/ y (- a t))
19.0ms	(+ (* (/ y (- a t)) (- z t)) x)
59.0ms	(* (/ y (- a t)) (- z t))

series637.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ y (- a t))
361.0ms	(+ (* (/ y (- a t)) (- z t)) x)
230.0ms	(* (/ y (- a t)) (- z t))

simplify2.5s

Counts

154 → 154

Iterations

Iter	Nodes
done	5001
2	3114
1	628
0	226

prune972.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes548.0ms

Accuracy

43.3% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.6b

bsearch173.0ms

Steps

Iters	Range		Point
10	1.2857563411330803e-08	17065.88877981157	1.5214018003457822e-08
11	2.202367239653683e-265	5.52218963463424e-246	2.1695728037404896e-263

simplify2.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample1.3s

Algorithm

intervals

Results

618.0ms	8719×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid