Details

sample68.0ms

Algorithm

intervals

Results

36.0ms

415×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 7 (1.5s)

Iter	Nodes	Cost
0	11	15
1	23	14
2	59	14
3	110	14
4	203	14
5	377	14
6	1001	14
7	4428	13
done	5000	13

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.1b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ (- (* x x) (* z z)) y))
1.0b	(- (* x x) (* z z))
12.0b	(/ (- (* x x) (* z z)) y)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
4×	`associate-/l*`
3×	`pow1` `expm1-log1p-u` `fma-def` `associate-/r*` `log1p-expm1-u`
2×	`flip3--` `div-sub` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 71

Calls

3 calls:

26.0ms	(+ y (/ (- (* x x) (* z z)) y))
10.0ms	(- (* x x) (* z z))
36.0ms	(/ (- (* x x) (* z z)) y)

series227.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ y (/ (- (* x x) (* z z)) y))
64.0ms	(- (* x x) (* z z))
91.0ms	(/ (- (* x x) (* z z)) y)

simplify1.9s

Counts

80 → 80

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	119	1078
1	323	1022
2	1389	947
done	5000	943

prune353.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
165×	`*-un-lft-identity`
119×	`add-sqr-sqrt`
81×	`add-cube-cbrt`
26×	`associate-/r*`
23×	`distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv` `associate-/l*`
6×	`flip3--` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 184

Calls

3 calls:

63.0ms	(+ y (/ (+ x z) (/ y (- x z))))
19.0ms	(/ y (- x z))
45.0ms	(/ (+ x z) (/ y (- x z)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ y (/ (+ x z) (/ y (- x z))))
43.0ms	(/ y (- x z))
84.0ms	(/ (+ x z) (/ y (- x z)))

simplify2.2s

Counts

193 → 193

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	253	3175
1	680	2980
2	3960	2844
done	5001	2828

prune683.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
31×	`times-frac`
24×	`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×	`expm1-log1p-u` `fma-def` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `distribute-lft-out`

Counts

3 → 101

Calls

3 calls:

19.0ms	(/ (- x z) y)
8.0ms	(+ y (* (+ x z) (/ (- x z) y)))
53.0ms	(* (+ x z) (/ (- x z) y))

series181.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (- x z) y)
56.0ms	(+ y (* (+ x z) (/ (- x z) y)))
85.0ms	(* (+ x z) (/ (- x z) y))

simplify2.9s

Counts

110 → 110

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	155	1310
1	425	1232
2	2700	1144
done	5001	1123

prune424.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (* (+ x z) (* (- x z) (/ 1 y))))
0.2b	(* (+ x z) (* (- x z) (/ 1 y)))
0.3b	(* (- x z) (/ 1 y))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
22×	`add-sqr-sqrt`
20×	`frac-times`
18×	`*-un-lft-identity`
17×	`add-cbrt-cube`
14×	`associate-r`
13×	`add-cube-cbrt` `prod-exp`
11×	`times-frac`
10×	`pow1` `associate-r/` `associate-l/`
9×	`associate-l`
8×	`flip3--` `flip3-+` `flip--` `flip-+`
7×	`cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `pow-prod-down` `un-div-inv`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`+-commutative` `sum-log` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 105

Calls

3 calls:

16.0ms	(+ y (* (+ x z) (* (- x z) (/ 1 y))))
97.0ms	(* (+ x z) (* (- x z) (/ 1 y)))
44.0ms	(* (- x z) (/ 1 y))

series227.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ y (* (+ x z) (* (- x z) (/ 1 y))))
98.0ms	(* (+ x z) (* (- x z) (/ 1 y)))
56.0ms	(* (- x z) (/ 1 y))

simplify5.9s

Counts

114 → 114

Iterations

Useful iterations: 2 (997.0ms)

Iter	Nodes	Cost
0	186	1692
1	540	1528
2	4351	1241
done	5000	1241

prune460.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.7s

13569×

body

valid