Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

282×

body

valid

simplify90.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	61	4
3	113	4
4	173	4
5	232	4
6	280	4
7	353	4
8	485	4
9	644	4
10	1095	4
11	1319	4
12	1491	4
13	1513	4
14	1513	4
done	1513	4

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
4.0b	(fma (/ y (- z a)) (- z t) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

11.0ms	(/ y (- z a))
0.0ms	(fma (/ y (- z a)) (- z t) x)

series125.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ y (- z a))
93.0ms	(fma (/ y (- z a)) (- z t) x)

simplify117.0ms

Counts

55 → 55

Iterations

Useful iterations: 4 (113.0ms)

Iter	Nodes	Cost
0	170	266
1	464	247
2	1318	247
3	4468	246
4	5001	244
done	5001	244

prune165.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
4.0b	(fma (/ (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))) (- z t) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

4.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))
5.0ms	(cbrt (- z a))
1.0ms	(fma (/ (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))) (- z t) x)

series601.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (- z a))
166.0ms	(cbrt (- z a))
169.0ms	(cbrt (- z a))
93.0ms	(fma (/ (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))) (- z t) x)

simplify57.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	189	502
1	427	459
2	1313	444
3	5001	421
done	5001	421

prune303.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- z t) (/ (- z a) y)) x)
0.0b	(/ (- z a) y)
12.4b	(/ (- z t) (/ (- z a) y))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
306×	`*-un-lft-identity`
304×	`add-sqr-sqrt`
152×	`add-cube-cbrt`
100×	`fma-def`
76×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
14×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 294

Calls

3 calls:

118.0ms	(+ (/ (- z t) (/ (- z a) y)) x)
20.0ms	(/ (- z a) y)
28.0ms	(/ (- z t) (/ (- z a) y))

series248.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ (/ (- z t) (/ (- z a) y)) x)
30.0ms	(/ (- z a) y)
112.0ms	(/ (- z t) (/ (- z a) y))

simplify87.0ms

Counts

303 → 303

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	793	1747
1	3017	1690
2	5001	1690
done	5001	1690

prune802.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (/ (- z t) (- z a)) (/ 1 y)) x)
0.0b	(/ (- z t) (- z a))
2.3b	(/ (/ (- z t) (- z a)) (/ 1 y))

rewrite459.0ms

Algorithm

rewrite-expression-head

Rules

2073×	`times-frac`
1320×	`*-un-lft-identity`
1318×	`add-sqr-sqrt`
754×	`add-cube-cbrt`
408×	`fma-def`
282×	`distribute-lft-out--` `difference-of-squares`
93×	`div-inv`
58×	`associate-/r/`
36×	`associate-/l*`
29×	`flip3--` `flip--`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 951

Calls

3 calls:

292.0ms	(+ (/ (/ (- z t) (- z a)) (/ 1 y)) x)
28.0ms	(/ (- z t) (- z a))
48.0ms	(/ (/ (- z t) (- z a)) (/ 1 y))

series275.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(+ (/ (/ (- z t) (- z a)) (/ 1 y)) x)
54.0ms	(/ (- z t) (- z a))
115.0ms	(/ (/ (- z t) (- z a)) (/ 1 y))

simplify107.0ms

Counts

960 → 960

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	2174	7115
1	5001	6615
done	5001	6615

prune2.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6
done	15	6

end0.0ms

sample617.0ms

Algorithm

intervals

Results

250.0ms	8772×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid