Details

sample136.0ms

Algorithm

intervals

Results

47.0ms	237×	body	80	nan
40.0ms	256×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	28	33
1	50	33
2	106	33
3	373	33
4	1497	33
done	5001	33

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize75.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.4b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.4b	(/ (* z (sqrt (+ t a))) t)

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
16×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`associate-r`
6×	`pow1` `times-frac` `associate--r+` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`cbrt-undiv` `sqrt-div` `div-exp` `associate-/r` `associate-/l`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `associate-*l/` `associate--l+` `clear-num` `div-inv` `associate-/l/` `unswap-sqr`
1×	`diff-log` `pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

47.0ms	(* z (sqrt (+ t a)))
20.0ms	(/ 2.0 (* t 3.0))
72.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
32.0ms	(/ (* z (sqrt (+ t a))) t)

series530.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* z (sqrt (+ t a)))
22.0ms	(/ 2.0 (* t 3.0))
272.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
133.0ms	(/ (* z (sqrt (+ t a))) t)

simplify2.3s

Counts

113 → 113

Iterations

Useful iterations: 2 (995.0ms)

Iter	Nodes	Cost
0	344	2616
1	1015	2408
2	4357	2288
done	5000	2288

prune992.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt t)
0.7b	(cbrt t)
0.9b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.4b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
60×	`frac-sub`
58×	`times-frac`
47×	`*-un-lft-identity`
46×	`associate-r`
39×	`frac-times`
35×	`add-cube-cbrt`
31×	`cbrt-prod`
28×	`sqrt-prod`
27×	`associate-*r/`
25×	`add-exp-log` `flip3--` `flip--`
21×	`associate-*l/`
18×	`add-cbrt-cube`
10×	`unswap-sqr`
9×	`flip3-+` `flip-+`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out` `associate--r+` `add-log-exp`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`pow1/3` `associate--l+` `div-inv`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 169

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
103.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
85.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

332.0ms	(cbrt t)
304.0ms	(cbrt t)
180.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
340.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify1.0s

Counts

181 → 181

Iterations

Useful iterations: done (992.0ms)

Iter	Nodes	Cost
0	486	6783
1	1717	6293
done	5001	5978

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
3.3b	(log (exp (/ 2.0 (* t 3.0))))
4.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
7.4b	(/ (* z (sqrt (+ t a))) t)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`log-pow` `frac-sub`
7×	`exp-prod` `flip3--` `flip--`
6×	`associate--r+` `add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-/r` `associate-/l*`
3×	`distribute-rgt-in` `sub-neg` `log-prod` `distribute-lft-in` `div-inv`
2×	`frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`flip3-+` `diff-log` `rem-log-exp` `flip-+`

Counts

4 → 89

Calls

4 calls:

15.0ms	(/ 2.0 (* t 3.0))
25.0ms	(log (exp (/ 2.0 (* t 3.0))))
67.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
16.0ms	(/ (* z (sqrt (+ t a))) t)

series507.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 2.0 (* t 3.0))
34.0ms	(log (exp (/ 2.0 (* t 3.0))))
321.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
129.0ms	(/ (* z (sqrt (+ t a))) t)

simplify2.5s

Counts

101 → 101

Iterations

Useful iterations: 2 (749.0ms)

Iter	Nodes	Cost
0	278	2104
1	763	1813
2	3275	1705
done	5000	1705

prune787.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
0.0b	(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
0.0b	(* c (+ a 0.8333333333333334))
1.3b	(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `exp-sum` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `associate--l+`
4×	`associate-r`
3×	`sub-neg` `associate-l` `associate-/r` `associate-/l`
2×	`flip3-+` `associate-*r/` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `exp-prod` `flip3--` `exp-to-pow` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `rem-exp-log` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

66.0ms	(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
9.0ms	(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
21.0ms	(* c (+ a 0.8333333333333334))
16.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

series293.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
165.0ms	(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
37.0ms	(* c (+ a 0.8333333333333334))
44.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

simplify2.7s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	174	1587
1	410	1536
2	1172	1405
3	4152	1401
done	5002	1401

prune426.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes439.0ms

Accuracy

0% (2.4b remaining)

Error of 2.9b against oracle of 0.5b and baseline of 2.9b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	31	40
1	39	40
done	39	40

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.2s	8000×	body	80	valid
1.6s	8040×	body	80	nan