Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

289×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	34	11
3	55	11
4	87	11
5	127	11
6	161	11
7	179	11
8	205	11
9	249	11
10	334	11
11	437	11
12	620	11
13	775	11
14	811	11
15	817	11
done	817	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)))

rewrite46.0ms

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))))
11.0ms	(/ (- z t) (- z a))
28.0ms	(* y (/ (- z t) (- z a)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ x (* y (/ (- z t) (- z a))))
46.0ms	(/ (- z t) (- z a))
82.0ms	(* y (/ (- z t) (- z a)))

simplify569.0ms

Counts

122 → 122

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	162	1555
1	426	1454
2	1532	1368
done	5000	1368

prune273.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))))

rewrite108.0ms

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)))))
11.0ms	(/ (- z a) (- z t))
15.0ms	(/ 1 (/ (- z a) (- z t)))
54.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
42.0ms	(/ (- z a) (- z t))
94.0ms	(/ 1 (/ (- z a) (- z t)))
111.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify1.8s

Counts

350 → 350

Iterations

Useful iterations: 2 (369.0ms)

Iter	Nodes	Cost
0	372	5706
1	969	4880
2	3294	4213
done	5000	4213

prune617.0ms

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	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
0.0b	(/ (- z a) (- z t))
2.2b	(/ y (/ (- z a) (- z t)))

rewrite137.0ms

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:

99.0ms	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
11.0ms	(/ (- z a) (- z t))
15.0ms	(/ y (/ (- z a) (- z t)))

series237.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
44.0ms	(/ (- z a) (- z t))
113.0ms	(/ y (/ (- z a) (- z t)))

simplify871.0ms

Counts

215 → 215

Iterations

Useful iterations: 2 (230.0ms)

Iter	Nodes	Cost
0	295	3765
1	712	3470
2	3013	3364
done	5001	3364

prune535.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ x (* (/ y (- z a)) (- z t)))
11.1b	(* (/ y (- z a)) (- z t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ y (- z a))
3.0ms	(+ x (* (/ y (- z a)) (- z t)))
25.0ms	(* (/ y (- z a)) (- z t))

series224.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ y (- z a))
81.0ms	(+ x (* (/ y (- z a)) (- z t)))
116.0ms	(* (/ y (- z a)) (- z t))

simplify571.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	166	1289
1	423	1232
2	1553	1152
done	5002	1152

prune251.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes176.0ms

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

sample539.0ms

Algorithm

intervals

Results

280.0ms

8764×

body

valid