Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

289×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	58	11
4	92	11
5	134	11
6	165	11
7	190	11
8	244	11
9	315	11
10	418	11
11	598	11
12	752	11
13	837	11
14	846	11
done	846	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
7.7b	(/ (* y (- z t)) (- z a))

rewrite30.0ms

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:

9.0ms	(+ x (/ (* y (- z t)) (- z a)))
9.0ms	(* y (- z t))
10.0ms	(/ (* y (- z t)) (- z a))

series174.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ x (/ (* y (- z t)) (- z a)))
34.0ms	(* y (- z t))
65.0ms	(/ (* y (- z t)) (- z a))

simplify479.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	128	846
1	343	793
2	1339	715
done	5000	715

prune170.0ms

Pruning

4 alts after pruning (4 fresh and 0 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))
2.2b	(/ y (/ (- z a) (- z t)))

rewrite78.0ms

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:

43.0ms	(+ x (/ y (/ (- z a) (- z t))))
10.0ms	(/ (- z a) (- z t))
14.0ms	(/ y (/ (- z a) (- z t)))

series242.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ x (/ y (/ (- z a) (- z t))))
41.0ms	(/ (- z a) (- z t))
120.0ms	(/ y (/ (- z a) (- z t)))

simplify827.0ms

Counts

215 → 215

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	292	3727
1	706	3478
2	2943	3372
done	5000	3372

prune500.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

187×	`*-un-lft-identity`
159×	`times-frac`
135×	`add-sqr-sqrt`
64×	`distribute-lft-out--`
47×	`add-cube-cbrt`
34×	`difference-of-squares`
26×	`associate-/r/`
23×	`associate-/r*`
15×	`distribute-rgt-out--`
13×	`flip3--` `flip--`
12×	`div-inv`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`associate-/l*`
4×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 169

Calls

4 calls:

49.0ms	(- (/ z (- z t)) (/ a (- z t)))
119.0ms	(+ x (/ y (- (/ z (- z t)) (/ a (- z t)))))
5.0ms	(/ a (- z t))
71.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

series332.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(- (/ z (- z t)) (/ a (- z t)))
89.0ms	(+ x (/ y (- (/ z (- z t)) (/ a (- z t)))))
31.0ms	(/ a (- z t))
104.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

simplify583.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	262	3207
1	525	3003
2	1697	2907
done	5000	2907

prune449.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 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))
2.1b	(* y (/ (- z t) (- z a)))

rewrite39.0ms

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))
23.0ms	(* y (/ (- z t) (- z a)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (* y (/ (- z t) (- z a))))
47.0ms	(/ (- z t) (- z a))
67.0ms	(* y (/ (- z t) (- z a)))

simplify589.0ms

Counts

122 → 122

Iterations

Useful iterations: 2 (130.0ms)

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

prune265.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes145.0ms

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: 0 (0.0ms)

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

end0.0ms

sample501.0ms

Algorithm

intervals

Results

253.0ms	8763×	body	80	valid
0.0ms	1×	body	160	valid