Details

sample164.0ms

Algorithm

intervals

Results

44.0ms	256×	body	80	valid
42.0ms	255×	body	80	nan

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	28	33
1	50	33
2	106	33
3	374	33
4	1789	33
done	5001	33

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.1b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.8b	(/ (* z (sqrt (+ t a))) t)

rewrite122.0ms

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:

30.0ms	(* z (sqrt (+ t a)))
8.0ms	(/ 2.0 (* t 3.0))
57.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
15.0ms	(/ (* z (sqrt (+ t a))) t)

series515.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* z (sqrt (+ t a)))
30.0ms	(/ 2.0 (* t 3.0))
292.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
102.0ms	(/ (* z (sqrt (+ t a))) t)

simplify669.0ms

Counts

113 → 113

Iterations

Useful iterations: done (659.0ms)

Iter	Nodes	Cost
0	344	2616
1	1039	2408
done	5001	2304

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
2.1b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.4b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite205.0ms

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)
76.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
117.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series832.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt t)
235.0ms	(cbrt t)
267.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
115.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify915.0ms

Counts

181 → 181

Iterations

Useful iterations: done (907.0ms)

Iter	Nodes	Cost
0	486	6783
1	1855	6317
done	5002	5987

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
3.1b	(log (exp (/ 2.0 (* t 3.0))))
3.6b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.8b	(/ (* z (sqrt (+ t a))) t)

rewrite128.0ms

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:

12.0ms	(/ 2.0 (* t 3.0))
16.0ms	(log (exp (/ 2.0 (* t 3.0))))
69.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
27.0ms	(/ (* z (sqrt (+ t a))) t)

series446.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 2.0 (* t 3.0))
29.0ms	(log (exp (/ 2.0 (* t 3.0))))
268.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
115.0ms	(/ (* z (sqrt (+ t a))) t)

simplify2.3s

Counts

101 → 101

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	278	2104
1	792	1813
2	4537	1725
done	5001	1721

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
0.0b	(* c (+ a 0.8333333333333334))
0.0b	(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
0.8b	(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

16×	`exp-sum`
15×	`associate-r`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `associate--l+`
8×	`pow1` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`associate-l`
5×	`sub-neg`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`exp-prod` `flip3--` `exp-to-pow` `flip3-+` `diff-log` `flip--` `flip-+` `rem-exp-log` `distribute-lft-out`

Counts

4 → 81

Calls

4 calls:

43.0ms	(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
39.0ms	(* c (+ a 0.8333333333333334))
64.0ms	(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
14.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

series313.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
55.0ms	(* c (+ a 0.8333333333333334))
53.0ms	(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
66.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

simplify890.0ms

Counts

93 → 93

Iterations

Useful iterations: done (883.0ms)

Iter	Nodes	Cost
0	148	1181
1	380	1133
2	1385	1030
done	5001	1026

prune568.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (2.2b remaining)

Error of 2.9b against oracle of 0.7b and baseline of 2.9b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.7s	7957×	body	80	nan
1.5s	8000×	body	80	valid