Details

sample55.0ms

Algorithm

intervals

Results

27.0ms

281×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
26	4979
25	4743
24	4499
23	4256
22	4020
21	3777
20	3537
19	3301
18	3057
17	2823
16	2584
15	2324
14	1950
13	1556
12	1129
11	699
10	486
9	335
8	250
7	206
6	169
5	128
4	87
3	50
2	31
1	18
0	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
9.7b	(/ (* y (- z t)) (- z a))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

33.0ms	(+ x (/ (* y (- z t)) (- z a)))
28.0ms	(* y (- z t))
24.0ms	(/ (* y (- z t)) (- z a))

series269.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(+ x (/ (* y (- z t)) (- z a)))
41.0ms	(* y (- z t))
98.0ms	(/ (* y (- z t)) (- z a))

simplify2.7s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	4252
2	1035
1	347
0	128

prune484.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.3b	(* y (/ (- z t) (- z a)))

rewrite80.0ms

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-cbrt-cube` `add-exp-log`
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` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

5.0ms	(+ x (* y (/ (- z t) (- z a))))
26.0ms	(/ (- z t) (- z a))
44.0ms	(* y (/ (- z t) (- z a)))

series289.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(+ x (* y (/ (- z t) (- z a))))
67.0ms	(/ (- z t) (- z a))
122.0ms	(* y (/ (- z t) (- z a)))

simplify1.4s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	1368
1	441
0	162

prune854.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.3b	(/ y (/ (- z a) (- z t)))

rewrite117.0ms

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-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

65.0ms	(+ x (/ y (/ (- z a) (- z t))))
20.0ms	(/ (- z a) (- z t))
21.0ms	(/ y (/ (- z a) (- z t)))

series351.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(+ x (/ y (/ (- z a) (- z t))))
56.0ms	(/ (- z a) (- z t))
182.0ms	(/ y (/ (- z a) (- z t)))

simplify1.7s

Counts

215 → 215

Iterations

Iter	Nodes
done	5001
2	2634
1	785
0	292

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
1.3b	(* y (/ (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

182×	`times-frac`
142×	`associate-r`
129×	`add-sqr-sqrt`
115×	`*-un-lft-identity`
104×	`cbrt-div`
102×	`cbrt-prod`
66×	`associate-/r/`
59×	`add-cube-cbrt`
52×	`flip3--` `flip--`
32×	`frac-times`
28×	`distribute-lft-out--` `difference-of-squares`
18×	`add-exp-log`
17×	`associate-*r/`
16×	`associate-*l/`
13×	`add-cbrt-cube`
9×	`div-inv`
6×	`pow1`
5×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 213

Calls

4 calls:

6.0ms	(cbrt (- z a))
6.0ms	(cbrt (- z a))
6.0ms	(cbrt (- z a))
168.0ms	(* y (/ (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))))

series719.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt (- z a))
232.0ms	(cbrt (- z a))
198.0ms	(cbrt (- z a))
89.0ms	(* y (/ (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))))

simplify3.0s

Counts

225 → 225

Iterations

Iter	Nodes
done	5003
2	3670
1	1177
0	391

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes407.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

623.0ms	8715×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid