Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

327×

body

valid

simplify452.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	45	9
4	75	9
5	110	9
6	125	9
7	141	9
8	175	9
9	241	9
10	327	9
11	370	9
12	444	9
13	476	9
done	476	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
8.1b	(/ (* y (- z t)) a)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

11.0ms	(* y (- z t))
5.0ms	(+ x (/ (* y (- z t)) a))
7.0ms	(/ (* y (- z t)) a)

series133.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* y (- z t))
46.0ms	(+ x (/ (* y (- z t)) a))
49.0ms	(/ (* y (- z t)) a)

simplify1.7s

Counts

70 → 70

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	116	722
1	297	679
2	869	589
3	3967	589
done	5001	588

prune155.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
5.2b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

0.0ms	(cbrt a)
0.0ms	(cbrt a)
0.0ms	(cbrt a)
35.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series630.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt a)
186.0ms	(cbrt a)
172.0ms	(cbrt a)
90.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.0s

Counts

116 → 116

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	161	1577
1	482	1509
2	2138	1153
done	5000	1147

prune351.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
5.2b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
38×	`add-cbrt-cube`
25×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`cbrt-prod` `times-frac` `associate-r`
7×	`associate-l`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv` `unswap-sqr`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 87

Calls

4 calls:

0.0ms	(cbrt a)
0.0ms	(cbrt a)
1.0ms	(cbrt a)
77.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

series662.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt a)
185.0ms	(cbrt a)
186.0ms	(cbrt a)
96.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

simplify1.0s

Counts

99 → 99

Iterations

Useful iterations: 2 (230.0ms)

Iter	Nodes	Cost
0	146	1994
1	454	1934
2	2145	1120
done	5000	1120

prune337.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
6.7b	(/ y (/ a (- z t)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

33.0ms	(+ x (/ y (/ a (- z t))))
6.0ms	(/ a (- z t))
10.0ms	(/ y (/ a (- z t)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (/ y (/ a (- z t))))
32.0ms	(/ a (- z t))
53.0ms	(/ y (/ a (- z t)))

simplify793.0ms

Counts

160 → 160

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	245	2291
1	548	2136
2	1803	2056
done	5000	2056

prune417.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes218.0ms

Accuracy

72.8% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	20	45
1	30	37
done	30	37

end0.0ms

sample590.0ms

Algorithm

intervals

Results

289.0ms

10607×

body

valid