Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

282×

body

valid

simplify54.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5
done	1060	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

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)))

rewrite73.0ms

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))))
20.0ms	(/ (- z t) (- z a))
42.0ms	(* y (/ (- z t) (- z a)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ x (* y (/ (- z t) (- z a))))
43.0ms	(/ (- z t) (- z a))
68.0ms	(* y (/ (- z t) (- z a)))

simplify49.0ms

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704
done	5001	704

prune255.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

23.0ms	(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
76.0ms	(- (/ z (- z a)) (/ t (- z a)))
10.0ms	(/ z (- z a))
213.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

series381.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
115.0ms	(- (/ z (- z a)) (/ t (- z a)))
41.0ms	(/ z (- z a))
137.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

simplify51.0ms

Counts

134 → 134

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	443	851
1	1621	804
2	5001	804
done	5001	804

prune310.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
7.4b	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
50×	`times-frac`
46×	`associate-r`
42×	`cbrt-prod`
28×	`add-cube-cbrt`
25×	`add-exp-log`
20×	`cbrt-div`
18×	`add-cbrt-cube`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 136

Calls

4 calls:

4.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))
110.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

series542.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (- z a))
139.0ms	(cbrt (- z a))
145.0ms	(cbrt (- z a))
114.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

simplify75.0ms

Counts

148 → 148

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	646	1592
1	3093	1439
2	5001	1374
done	5001	1374

prune453.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
13.1b	(/ (* y (- z t)) (- z a))

rewrite63.0ms

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)))
22.0ms	(* y (- z t))
21.0ms	(/ (* y (- z t)) (- z a))

series186.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ x (/ (* y (- z t)) (- z a)))
35.0ms	(* y (- z t))
68.0ms	(/ (* y (- z t)) (- z a))

simplify40.0ms

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	337	381
1	1443	342
2	5002	342
done	5002	342

prune142.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes120.0ms

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	13	7
1	13	7
done	13	7

end0.0ms

sample605.0ms

Algorithm

intervals

Results

247.0ms	8775×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid