Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

271×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (30.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	194	12
5	315	12
6	488	12
7	697	12
8	1025	12
9	1350	12
10	1564	12
11	1625	12
12	1636	12
done	1636	12

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.2b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out` `distribute-lft-out--`
6×	`difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

25.0ms	(/ (- z y) (+ (- t z) 1.0))
0.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series132.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- z y) (+ (- t z) 1.0))
85.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify1.1s

Counts

70 → 70

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	116	1048
1	279	1006
2	726	940
3	2174	936
done	5000	934

prune168.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
8.1b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

874×	`*-un-lft-identity`
713×	`times-frac`
546×	`add-sqr-sqrt`
383×	`add-cube-cbrt`
300×	`prod-diff`
145×	`distribute-lft-out--`
134×	`distribute-lft-out`
80×	`difference-of-squares`
26×	`div-inv`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `fma-neg` `div-sub` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+` `associate--r-`

Counts

3 → 501

Calls

3 calls:

84.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
35.0ms	(/ (+ (- t z) 1.0) a)
28.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series252.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
35.0ms	(/ (+ (- t z) 1.0) a)
129.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify670.0ms

Counts

510 → 510

Iterations

Useful iterations: done (642.0ms)

Iter	Nodes	Cost
0	659	29857
1	1824	27457
done	5000	27085

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (- y z) (/ 1 (/ a (+ (- t z) 1.0)))))
0.0b	(/ a (+ (- t z) 1.0))
0.2b	(/ 1 (/ a (+ (- t z) 1.0)))
8.1b	(/ (- y z) (/ 1 (/ a (+ (- t z) 1.0))))

rewrite488.0ms

Algorithm

rewrite-expression-head

Rules

3777×	`times-frac`
3298×	`*-un-lft-identity`
2290×	`add-sqr-sqrt`
1723×	`add-cube-cbrt`
1035×	`prod-diff`
479×	`distribute-lft-out--`
410×	`distribute-lft-out`
279×	`difference-of-squares`
162×	`associate-/r/`
94×	`associate-/r*` `div-inv`
68×	`flip3-+` `flip-+`
36×	`add-exp-log`
22×	`div-exp`
20×	`add-cbrt-cube`
11×	`associate-/l*`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num`
2×	`flip3--` `div-sub` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `inv-pow` `associate--r-`

Counts

4 → 1648

Calls

4 calls:

192.0ms	(- x (/ (- y z) (/ 1 (/ a (+ (- t z) 1.0)))))
19.0ms	(/ a (+ (- t z) 1.0))
23.0ms	(/ 1 (/ a (+ (- t z) 1.0)))
47.0ms	(/ (- y z) (/ 1 (/ a (+ (- t z) 1.0))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- x (/ (- y z) (/ 1 (/ a (+ (- t z) 1.0)))))
34.0ms	(/ a (+ (- t z) 1.0))
30.0ms	(/ 1 (/ a (+ (- t z) 1.0)))
74.0ms	(/ (- y z) (/ 1 (/ a (+ (- t z) 1.0))))

simplify1.6s

Counts

1660 → 1660

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	2086	125457
done	5001	115239

prune4.4s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
0.0b	(* (- y z) a)
0.0b	(/ 1 (+ (- t z) 1.0))
15.0b	(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
32×	`add-exp-log`
31×	`add-sqr-sqrt`
30×	`times-frac`
27×	`add-cube-cbrt`
26×	`associate-l`
20×	`add-cbrt-cube`
14×	`distribute-lft-out`
13×	`prod-exp`
12×	`pow1`
8×	`distribute-lft-out--`
7×	`associate-*l/` `cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `flip3--` `associate-r` `pow-prod-down` `associate-/r/` `flip--` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `fma-neg` `1-exp` `prod-diff` `associate-/l*`
2×	`frac-times` `flip3-+` `associate-r/` `-commutative` `flip-+` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `clear-num` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

3.0ms	(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
10.0ms	(* (- y z) a)
19.0ms	(/ 1 (+ (- t z) 1.0))
56.0ms	(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

series297.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
28.0ms	(* (- y z) a)
42.0ms	(/ 1 (+ (- t z) 1.0))
114.0ms	(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

simplify1.1s

Counts

150 → 150

Iterations

Useful iterations: 2 (297.0ms)

Iter	Nodes	Cost
0	215	2211
1	585	1927
2	2112	1692
done	5001	1692

prune311.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	12	12
done	12	12

end0.0ms

sample545.0ms

Algorithm

intervals

Results

289.0ms

8505×

body

valid