Details

sample58.0ms

Algorithm

intervals

Results

35.0ms

411×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 7 (804.0ms)

Iter	Nodes	Cost
0	11	15
1	22	15
2	55	15
3	100	15
4	181	15
5	330	15
6	715	15
7	1555	13
8	4529	13
done	5000	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (/ (- (* z z) (* x x)) y))
2.2b	(- (* z z) (* x x))
16.4b	(/ (- (* z z) (* x x)) y)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/l*`
3×	`pow1` `flip3--` `associate-/r*` `flip--`
2×	`sub-neg` `diff-log` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `distribute-lft-out--` `associate--r-`

Counts

3 → 63

Calls

3 calls:

19.0ms	(- y (/ (- (* z z) (* x x)) y))
8.0ms	(- (* z z) (* x x))
21.0ms	(/ (- (* z z) (* x x)) y)

series190.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- y (/ (- (* z z) (* x x)) y))
48.0ms	(- (* z z) (* x x))
82.0ms	(/ (- (* z z) (* x x)) y)

simplify2.1s

Counts

72 → 72

Iterations

Useful iterations: 3 (767.0ms)

Iter	Nodes	Cost
0	115	1074
1	281	1017
2	806	945
3	3327	939
done	5000	939

prune232.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* (+ z x) (/ (- z x) y)))
0.0b	(/ (- z x) y)
0.2b	(* (+ z x) (/ (- z x) y))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
4×	`associate-l`
3×	`associate-/r*`
2×	`cbrt-undiv` `frac-times` `flip3--` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `distribute-lft-out`

Counts

3 → 93

Calls

3 calls:

14.0ms	(- y (* (+ z x) (/ (- z x) y)))
31.0ms	(/ (- z x) y)
68.0ms	(* (+ z x) (/ (- z x) y))

series199.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- y (* (+ z x) (/ (- z x) y)))
35.0ms	(/ (- z x) y)
87.0ms	(* (+ z x) (/ (- z x) y))

simplify1.1s

Counts

102 → 102

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	150	1274
1	375	1191
2	1494	1111
done	5002	1108

prune274.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ (- x z) (/ y (+ z x))))
0.0b	(/ y (+ z x))
0.3b	(/ (- x z) (/ y (+ z x)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
163×	`*-un-lft-identity`
117×	`add-sqr-sqrt`
79×	`add-cube-cbrt`
23×	`distribute-lft-out`
22×	`associate-/r*`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `div-sub` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `sum-log` `flip--`

Counts

3 → 177

Calls

3 calls:

72.0ms	(+ y (/ (- x z) (/ y (+ z x))))
12.0ms	(/ y (+ z x))
52.0ms	(/ (- x z) (/ y (+ z x)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ y (/ (- x z) (/ y (+ z x))))
50.0ms	(/ y (+ z x))
96.0ms	(/ (- x z) (/ y (+ z x)))

simplify1.7s

Counts

186 → 186

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	255	3206
1	690	2995
2	2385	2901
done	5002	2880

prune572.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (/ (- x z) y) (/ 1 (+ z x))))
0.0b	(/ (- x z) y)
0.0b	(/ 1 (+ z x))
0.4b	(/ (/ (- x z) y) (/ 1 (+ z x)))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

894×	`times-frac`
606×	`*-un-lft-identity`
476×	`add-sqr-sqrt`
354×	`add-cube-cbrt`
65×	`distribute-lft-out`
61×	`distribute-lft-out--` `difference-of-squares`
43×	`associate-/r/`
42×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
25×	`associate-/r*`
22×	`flip3-+` `flip-+`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1` `div-sub`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `pow-flip` `sum-log` `flip--` `inv-pow`

Counts

4 → 492

Calls

4 calls:

177.0ms	(+ y (/ (/ (- x z) y) (/ 1 (+ z x))))
17.0ms	(/ (- x z) y)
12.0ms	(/ 1 (+ z x))
53.0ms	(/ (/ (- x z) y) (/ 1 (+ z x)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ y (/ (/ (- x z) y) (/ 1 (+ z x))))
52.0ms	(/ (- x z) y)
39.0ms	(/ 1 (+ z x))
72.0ms	(/ (/ (- x z) y) (/ 1 (+ z x)))

simplify2.6s

Counts

504 → 504

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	618	11783
1	1746	9722
2	4869	9070
done	5000	9070

prune991.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes186.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	12	13
done	12	13

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.7s

13640×

body

valid