Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

284×

body

valid

simplify551.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	58	11
4	101	11
5	132	11
6	159	11
7	181	11
8	224	11
9	281	11
10	313	11
11	355	11
12	390	11
13	402	11
done	402	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
10.8b	(/ (* y (- z t)) (- z a))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

19.0ms	(+ x (/ (* y (- z t)) (- z a)))
20.0ms	(* y (- z t))
24.0ms	(/ (* y (- z t)) (- z a))

series197.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ x (/ (* y (- z t)) (- z a)))
37.0ms	(* y (- z t))
72.0ms	(/ (* y (- z t)) (- z a))

simplify1.9s

Counts

76 → 76

Iterations

Useful iterations: 2 (128.0ms)

Iter	Nodes	Cost
0	128	846
1	337	793
2	1076	715
3	4839	715
done	5000	715

prune152.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.2b	(/ y (/ (- z a) (- z t)))

rewrite116.0ms

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:

56.0ms	(+ x (/ y (/ (- z a) (- z t))))
21.0ms	(/ (- z a) (- z t))
24.0ms	(/ y (/ (- z a) (- z t)))

series250.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ x (/ y (/ (- z a) (- z t))))
45.0ms	(/ (- z a) (- z t))
118.0ms	(/ y (/ (- z a) (- z t)))

simplify952.0ms

Counts

215 → 215

Iterations

Useful iterations: done (946.0ms)

Iter	Nodes	Cost
0	292	3727
1	685	3478
2	2423	3372
done	5001	3366

prune453.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b	(/ y (* (* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t)))) (cbrt (/ (- z a) (- z t)))))
3.4b	(cbrt (/ (- z a) (- z t)))
3.4b	(cbrt (/ (- z a) (- z t)))
3.4b	(cbrt (/ (- z a) (- z t)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
78×	`times-frac`
39×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-div`
13×	`add-exp-log` `associate-/r/`
9×	`add-cbrt-cube`
5×	`frac-times` `associate-*l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `pow1/3` `associate-r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l`
1×	`frac-2neg` `clear-num` `associate-/r*`

Counts

4 → 150

Calls

4 calls:

106.0ms	(/ y (* (* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t)))) (cbrt (/ (- z a) (- z t)))))
9.0ms	(cbrt (/ (- z a) (- z t)))
11.0ms	(cbrt (/ (- z a) (- z t)))
9.0ms	(cbrt (/ (- z a) (- z t)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(/ y (* (* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t)))) (cbrt (/ (- z a) (- z t)))))
133.0ms	(cbrt (/ (- z a) (- z t)))
128.0ms	(cbrt (/ (- z a) (- z t)))
133.0ms	(cbrt (/ (- z a) (- z t)))

simplify1.3s

Counts

162 → 162

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	180	3109
1	355	3002
2	807	2514
3	2117	2423
done	5002	2414

prune434.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.4b	(* y (/ (- z t) (- z a)))

rewrite76.0ms

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:

6.0ms	(+ x (* y (/ (- z t) (- z a))))
21.0ms	(/ (- z t) (- z a))
43.0ms	(* y (/ (- z t) (- z a)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ x (* y (/ (- z t) (- z a))))
46.0ms	(/ (- z t) (- z a))
72.0ms	(* y (/ (- z t) (- z a)))

simplify1.5s

Counts

122 → 122

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	162	1555
1	419	1454
2	1176	1368
3	3710	1368
done	5001	1368

prune264.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	11	11
done	11	11

end0.0ms

sample609.0ms

Algorithm

intervals

Results

245.0ms	8699×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid