Details

sample117.0ms

Algorithm

intervals

Results

29.0ms

274×

body

valid

simplify17.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
26	4820
25	4597
24	4358
23	4137
22	3904
21	3673
20	3440
19	3215
18	2974
17	2754
16	2508
15	2269
14	1949
13	1588
12	1146
11	698
10	471
9	319
8	237
7	193
6	163
5	124
4	87
3	50
2	31
1	18
0	10

prune51.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize236.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
11.4b	(/ (* y (- z t)) (- z a))

rewrite280.0ms

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:

175.0ms	(+ x (/ (* y (- z t)) (- z a)))
51.0ms	(* y (- z t))
47.0ms	(/ (* y (- z t)) (- z a))

series798.0ms

Counts

3 → 9

Calls

3 calls:

224.0ms	(+ x (/ (* y (- z t)) (- z a)))
321.0ms	(* y (- z t))
253.0ms	(/ (* y (- z t)) (- z a))

simplify7.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	4235
2	1029
1	347
0	128

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize113.0ms

Local error

Found 3 expressions with local error:

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

rewrite403.0ms

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:

198.0ms	(+ x (/ y (/ (- z a) (- z t))))
73.0ms	(/ (- z a) (- z t))
89.0ms	(/ y (/ (- z a) (- z t)))

series1.2s

Counts

3 → 9

Calls

3 calls:

441.0ms	(+ x (/ y (/ (- z a) (- z t))))
195.0ms	(/ (- z a) (- z t))
533.0ms	(/ y (/ (- z a) (- z t)))

simplify6.1s

Counts

215 → 215

Iterations

Iter	Nodes
done	5004
2	2711
1	785
0	292

prune3.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

177×	`*-un-lft-identity`
156×	`times-frac`
135×	`add-sqr-sqrt`
56×	`distribute-lft-out--`
55×	`add-cube-cbrt`
32×	`difference-of-squares`
28×	`associate-/r*`
24×	`associate-/r/`
12×	`distribute-rgt-out--`
11×	`flip3--` `flip--` `div-inv`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `frac-sub` `flip-+` `distribute-lft-out` `sub-div`

Counts

4 → 177

Calls

4 calls:

418.0ms	(+ x (/ y (- (/ z (- z t)) (/ a (- z t)))))
41.0ms	(/ a (- z t))
50.0ms	(/ z (- z t))
484.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

series926.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(+ x (/ y (- (/ z (- z t)) (/ a (- z t)))))
130.0ms	(/ a (- z t))
102.0ms	(/ z (- z t))
506.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

simplify7.6s

Counts

189 → 189

Iterations

Iter	Nodes
done	5001
2	1865
1	598
0	286

prune2.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

2.1b	(/ y (- (/ z (- z t)) (* (* (cbrt (/ a (- z t))) (cbrt (/ a (- z t)))) (cbrt (/ a (- z t))))))
10.9b	(cbrt (/ a (- z t)))
10.9b	(cbrt (/ a (- z t)))
10.9b	(cbrt (/ a (- z t)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
57×	`add-sqr-sqrt` `*-un-lft-identity`
54×	`times-frac`
39×	`add-cube-cbrt`
15×	`cbrt-div` `associate-/r/`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`frac-sub`
6×	`add-exp-log` `add-cbrt-cube`
5×	`frac-times` `associate-*l/`
4×	`pow1` `flip3--` `flip--` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-/r` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`

Counts

4 → 126

Calls

4 calls:

126.0ms	(/ y (- (/ z (- z t)) (* (* (cbrt (/ a (- z t))) (cbrt (/ a (- z t)))) (cbrt (/ a (- z t))))))
12.0ms	(cbrt (/ a (- z t)))
12.0ms	(cbrt (/ a (- z t)))
22.0ms	(cbrt (/ a (- z t)))

series2.2s

Counts

4 → 12

Calls

4 calls:

272.0ms	(/ y (- (/ z (- z t)) (* (* (cbrt (/ a (- z t))) (cbrt (/ a (- z t)))) (cbrt (/ a (- z t))))))
580.0ms	(cbrt (/ a (- z t)))
699.0ms	(cbrt (/ a (- z t)))
628.0ms	(cbrt (/ a (- z t)))

simplify4.7s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
3	2838
2	951
1	402
0	208

prune2.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes1.4s

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

923.0ms	8749×	body	80	valid
0.0ms	1×	body	320	valid