Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

348×

body

valid

simplify754.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	48	8
4	86	8
5	133	8
6	171	8
7	197	8
8	231	8
9	317	8
10	427	8
11	494	8
12	584	8
13	610	8
done	610	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

2.5b	(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify755.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	24	154
1	41	154
2	92	138
3	219	123
4	987	123
done	5002	123

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* y (- z t)) a) x)
0.0b	(* y (- z t))
6.8b	(/ (* y (- z t)) a)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

14.0ms	(+ (/ (* y (- z t)) a) x)
12.0ms	(* y (- z t))
11.0ms	(/ (* y (- z t)) a)

series150.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (/ (* y (- z t)) a) x)
38.0ms	(* y (- z t))
54.0ms	(/ (* y (- z t)) a)

simplify2.0s

Counts

101 → 101

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	170	1262
1	381	1061
2	1039	881
3	4907	817
done	5000	817

prune213.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- z t) (/ a y)) x)
6.3b	(/ (- z t) (/ a y))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
163×	`*-un-lft-identity`
161×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
70×	`fma-def`
27×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*` `div-inv`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 188

Calls

2 calls:

61.0ms	(+ (/ (- z t) (/ a y)) x)
12.0ms	(/ (- z t) (/ a y))

series100.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (/ (- z t) (/ a y)) x)
49.0ms	(/ (- z t) (/ a y))

simplify796.0ms

Counts

194 → 194

Iterations

Useful iterations: 2 (287.0ms)

Iter	Nodes	Cost
0	224	1920
1	615	1786
2	1846	1697
done	5001	1697

prune559.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1 (/ a y))
2.5b	(fma (- z t) (/ 1 (/ a y)) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
44×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `associate-/r*`
7×	`div-exp` `add-cbrt-cube`
5×	`div-inv`
3×	`pow1` `cbrt-undiv` `associate-/l*`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `frac-2neg` `clear-num` `associate-/r/` `fma-udef` `inv-pow`

Counts

2 → 88

Calls

2 calls:

5.0ms	(/ 1 (/ a y))
0.0ms	(fma (- z t) (/ 1 (/ a y)) x)

series61.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/ 1 (/ a y))
51.0ms	(fma (- z t) (/ 1 (/ a y)) x)

simplify2.3s

Counts

94 → 94

Iterations

Useful iterations: 3 (385.0ms)

Iter	Nodes	Cost
0	162	1080
1	339	875
2	620	706
3	1385	678
4	3600	678
done	5000	678

prune170.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes284.0ms

Accuracy

57.3% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.6b

bsearch104.0ms

Steps

Iters	Range		Point
7	3.777852387278888e-15	1.5021325448122442e-13	2.3757587408965584e-14
10	-1.3754745118843937e+46	-7.984241662203797e+32	-1.2158067676402058e+38

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	25	40
1	31	38
done	31	38

end0.0ms

sample626.0ms

Algorithm

intervals

Results

307.0ms

10761×

body

valid