Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

289×

body

valid

simplify545.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	34	11
3	54	11
4	86	11
5	116	11
6	144	11
7	161	11
8	187	11
9	221	11
10	287	11
11	376	11
12	422	11
13	499	11
14	520	11
done	520	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.1b	(* y (/ (- z t) (- z a)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

2.0ms	(+ x (* y (/ (- z t) (- z a))))
10.0ms	(/ (- z t) (- z a))
25.0ms	(* y (/ (- z t) (- z a)))

series181.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (* y (/ (- z t) (- z a))))
42.0ms	(/ (- z t) (- z a))
65.0ms	(* y (/ (- z t) (- z a)))

simplify1.4s

Counts

122 → 122

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	162	1555
1	424	1454
2	1121	1368
3	3612	1368
done	5000	1366

prune273.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.1b	(* y (/ (- z t) (- z a)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

2.0ms	(+ x (* y (/ (- z t) (- z a))))
10.0ms	(/ (- z t) (- z a))
25.0ms	(* y (/ (- z t) (- z a)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (* y (/ (- z t) (- z a))))
42.0ms	(/ (- z t) (- z a))
65.0ms	(* y (/ (- z t) (- z a)))

simplify1.4s

Counts

122 → 122

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	162	1555
1	424	1454
2	1121	1368
3	3612	1368
done	5000	1366

prune297.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.4b	(/ 1 (/ (- z a) (- z t)))
2.1b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

2.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
10.0ms	(/ (- z a) (- z t))
14.0ms	(/ 1 (/ (- z a) (- z t)))
49.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series358.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
42.0ms	(/ (- z a) (- z t))
93.0ms	(/ 1 (/ (- z a) (- z t)))
118.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify961.0ms

Counts

350 → 350

Iterations

Useful iterations: done (949.0ms)

Iter	Nodes	Cost
0	372	5706
1	957	4598
2	2023	4213
done	5001	4205

prune657.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
2.2b	(/ y (/ (- z a) (- z t)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

42.0ms	(+ x (/ y (/ (- z a) (- z t))))
10.0ms	(/ (- z a) (- z t))
13.0ms	(/ y (/ (- z a) (- z t)))

series239.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ x (/ y (/ (- z a) (- z t))))
46.0ms	(/ (- z a) (- z t))
113.0ms	(/ y (/ (- z a) (- z t)))

simplify789.0ms

Counts

215 → 215

Iterations

Useful iterations: 2 (274.0ms)

Iter	Nodes	Cost
0	292	3727
1	703	3478
2	2377	3372
done	5000	3372

prune552.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	15	11
done	15	11

end0.0ms

sample533.0ms

Algorithm

intervals

Results

277.0ms

8764×

body

valid