Details

sample76.0ms

Algorithm

intervals

Results

46.0ms

378×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	27	13
2	90	13
3	288	13
4	751	13
5	1296	13
6	1556	13
7	1580	13
done	1580	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.2b	(- (* x y) (* (* z 9.0) t))
7.2b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `times-frac` `associate-r` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

27.0ms	(* (* z 9.0) t)
27.0ms	(- (* x y) (* (* z 9.0) t))
24.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series268.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (* z 9.0) t)
74.0ms	(- (* x y) (* (* z 9.0) t))
154.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.5s

Counts

71 → 71

Iterations

Useful iterations: 2 (272.0ms)

Iter	Nodes	Cost
0	127	944
1	344	906
2	1424	787
done	5000	787

prune349.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
7.2b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `times-frac` `associate-l` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

20.0ms	(- (* x y) (* z (* 9.0 t)))
31.0ms	(* z (* 9.0 t))
55.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series224.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- (* x y) (* z (* 9.0 t)))
31.0ms	(* z (* 9.0 t))
120.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.4s

Counts

71 → 71

Iterations

Useful iterations: 2 (261.0ms)

Iter	Nodes	Cost
0	125	941
1	339	905
2	1298	786
done	5000	786

prune310.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.2b	(- (* x y) (* (* z 9.0) t))
7.2b	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
30×	`add-exp-log`
25×	`times-frac`
20×	`*-un-lft-identity` `add-cbrt-cube`
18×	`add-cube-cbrt`
16×	`associate-r`
14×	`associate-l`
11×	`prod-exp`
10×	`pow1`
8×	`div-exp`
7×	`cbrt-unprod`
6×	`unswap-sqr`
5×	`add-log-exp`
4×	`cbrt-undiv` `pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `1-exp` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r/` `prod-diff` `associate-l/` `flip--`

Counts

3 → 94

Calls

3 calls:

18.0ms	(* (* z 9.0) t)
9.0ms	(- (* x y) (* (* z 9.0) t))
70.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

series292.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (* z 9.0) t)
81.0ms	(- (* x y) (* (* z 9.0) t))
176.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

simplify1.7s

Counts

103 → 103

Iterations

Useful iterations: 2 (397.0ms)

Iter	Nodes	Cost
0	190	1684
1	509	1538
2	1816	1323
done	5000	1323

prune423.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x y) (* 9.0 (* t z)))
0.2b	(* 9.0 (* t z))
7.2b	(* (/ 1 a) (/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) 2.0))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
30×	`add-exp-log`
25×	`times-frac`
20×	`*-un-lft-identity` `add-cbrt-cube`
18×	`add-cube-cbrt`
16×	`associate-l`
14×	`associate-r`
11×	`prod-exp`
10×	`pow1`
8×	`div-exp`
7×	`cbrt-unprod`
6×	`unswap-sqr`
5×	`add-log-exp`
4×	`cbrt-undiv` `pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `1-exp` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r/` `prod-diff` `associate-l/` `flip--`

Counts

3 → 94

Calls

3 calls:

10.0ms	(- (* x y) (* 9.0 (* t z)))
25.0ms	(* 9.0 (* t z))
167.0ms	(* (/ 1 a) (/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) 2.0))

series325.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- (* x y) (* 9.0 (* t z)))
43.0ms	(* 9.0 (* t z))
181.0ms	(* (/ 1 a) (/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) 2.0))

simplify2.3s

Counts

103 → 103

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	196	2347
1	543	2203
2	1958	1577
done	5001	1447

prune613.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 7.1b

regimes537.0ms

Accuracy

0% (0.5b remaining)

Error of 7.8b against oracle of 7.3b and baseline of 7.8b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	24
1	30	24
done	30	24

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

11160×

body

valid