Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

271×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (28.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	204	12
5	395	12
6	710	12
7	998	12
8	1499	12
9	1870	12
10	1957	12
done	1957	12

prune8.0ms

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)

rewrite28.0ms

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:

25.0ms	(/ (- z y) (+ (- t z) 1.0))
0.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series147.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- z y) (+ (- t z) 1.0))
96.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify1.4s

Counts

70 → 70

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	116	1048
1	279	1006
2	826	940
3	3494	936
done	5001	934

prune192.0ms

Pruning

6 alts after pruning (6 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))
0.8b	(* a (/ (- z y) (+ (- t z) 1.0)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`associate-l`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 106

Calls

2 calls:

25.0ms	(/ (- z y) (+ (- t z) 1.0))
54.0ms	(* a (/ (- z y) (+ (- t z) 1.0)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- z y) (+ (- t z) 1.0))
87.0ms	(* a (/ (- z y) (+ (- t z) 1.0)))

simplify585.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	144	1577
1	377	1478
2	1479	1370
done	5000	1370

prune260.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ (- t z) 1.0))
0.3b	(* (- z y) (/ 1 (+ (- t z) 1.0)))
0.8b	(* a (* (- z y) (/ 1 (+ (- t z) 1.0))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`associate-r`
19×	`add-cbrt-cube`
14×	`distribute-lft-out`
13×	`prod-exp`
11×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--`
7×	`cbrt-unprod`
6×	`div-exp`
5×	`associate-/r*`
4×	`frac-times` `flip3--` `pow-prod-down` `associate-*l/` `associate-/r/` `flip--`
3×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`flip3-+` `un-div-inv` `*-commutative` `flip-+` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow` `difference-of-squares`

Counts

3 → 125

Calls

3 calls:

19.0ms	(/ 1 (+ (- t z) 1.0))
53.0ms	(* (- z y) (/ 1 (+ (- t z) 1.0)))
49.0ms	(* a (* (- z y) (/ 1 (+ (- t z) 1.0))))

series182.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (+ (- t z) 1.0))
51.0ms	(* (- z y) (/ 1 (+ (- t z) 1.0)))
88.0ms	(* a (* (- z y) (/ 1 (+ (- t z) 1.0))))

simplify829.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	174	1796
1	462	1541
2	1734	1295
done	5000	1295

prune303.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) (- z y))
0.2b	(/ 1 (/ (+ (- t z) 1.0) (- z y)))
0.8b	(* a (/ 1 (/ (+ (- t z) 1.0) (- z y))))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

446×	`*-un-lft-identity`
392×	`times-frac`
253×	`add-sqr-sqrt`
157×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out` `distribute-lft-out--`
41×	`difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
8×	`flip3--` `flip--` `associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`associate-+l-` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

3 → 333

Calls

3 calls:

37.0ms	(/ (+ (- t z) 1.0) (- z y))
30.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))
82.0ms	(* a (/ 1 (/ (+ (- t z) 1.0) (- z y))))

series282.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ (+ (- t z) 1.0) (- z y))
97.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))
124.0ms	(* a (/ 1 (/ (+ (- t z) 1.0) (- z y))))

simplify2.0s

Counts

342 → 342

Iterations

Useful iterations: 2 (381.0ms)

Iter	Nodes	Cost
0	342	6172
1	875	5313
2	3393	4610
done	5000	4610

prune616.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	15
1	20	15
done	20	15

end0.0ms

sample549.0ms

Algorithm

intervals

Results

287.0ms	8493×	body	80	valid
0.0ms	1×	body	640	valid