Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

346×

body

valid

simplify109.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	28	7
4	38	7
5	47	7
6	52	7
7	61	7
8	78	7
9	97	7
10	108	7
11	110	7
12	114	7
13	117	7
done	117	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

14.0ms	(+ x (/ (- y x) z))
9.0ms	(/ (- y x) z)

series49.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ x (/ (- y x) z))
27.0ms	(/ (- y x) z)

simplify1.0s

Counts

64 → 64

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	98	616
1	232	570
2	572	546
3	1778	546
done	5001	544

prune243.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

487×	`times-frac`
389×	`*-un-lft-identity`
388×	`add-sqr-sqrt`
376×	`add-cube-cbrt`
338×	`prod-diff`
171×	`associate-+r+`
55×	`div-inv`
13×	`fma-neg`
9×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`difference-of-squares`
3×	`fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-rgt-out--` `flip3-+` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

2 → 398

Calls

2 calls:

25.0ms	(- (/ y z) (/ x z))
58.0ms	(+ x (- (/ y z) (/ x z)))

series48.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (/ y z) (/ x z))
27.0ms	(+ x (- (/ y z) (/ x z)))

simplify1.5s

Counts

404 → 404

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	503	12252
1	1083	10829
2	2438	8508
done	5000	8352

prune873.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ 1 z)))
15.0ms	(* (- y x) (/ 1 z))

series51.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ x (* (- y x) (/ 1 z)))
27.0ms	(* (- y x) (/ 1 z))

simplify2.3s

Counts

66 → 66

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	121	716
1	306	572
2	900	486
3	3418	486
done	5001	486

prune128.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* z (- y x)) (* z z)))
0.0b	(* z (- y x))
31.2b	(/ (* z (- y x)) (* z z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
17×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1` `associate-r` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `associate-*r/` `div-exp`
3×	`expm1-log1p-u` `fma-def` `associate-l` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `flip--` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 88

Calls

3 calls:

4.0ms	(+ x (/ (* z (- y x)) (* z z)))
12.0ms	(* z (- y x))
14.0ms	(/ (* z (- y x)) (* z z))

series95.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ x (/ (* z (- y x)) (* z z)))
39.0ms	(* z (- y x))
34.0ms	(/ (* z (- y x)) (* z z))

simplify1.5s

Counts

97 → 97

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	163	1373
1	397	1077
2	1247	791
done	5000	771

prune146.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	8	9
done	8	9

end0.0ms

sample400.0ms

Algorithm

intervals

Results

199.0ms

10147×

body

valid