Details

sample90.0ms

Algorithm

intervals

Results

12.0ms

324×

body

valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
2	15	5
3	19	5
done	19	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

24.0ms

(* (+ x y) z)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* (+ x y) z)

simplify915.0ms

Counts

26 → 26

Iterations

Useful iterations: done (914.0ms)

Iter	Nodes	Cost
0	47	190
1	115	185
2	533	165
done	5000	163

prune56.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

2.7b	(- (* x x) (* y y))
10.6b	(* (- (* x x) (* y y)) z)
19.9b	(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

9.0ms	(- (* x x) (* y y))
32.0ms	(* (- (* x x) (* y y)) z)
35.0ms	(/ (* (- (* x x) (* y y)) z) (- x y))

series215.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (* x x) (* y y))
83.0ms	(* (- (* x x) (* y y)) z)
66.0ms	(/ (* (- (* x x) (* y y)) z) (- x y))

simplify1.6s

Counts

80 → 80

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	122	1094
1	339	1064
2	2102	898
done	5001	894

prune264.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- x y) z)
0.1b	(* (+ x y) (* (- x y) z))
19.9b	(/ (* (+ x y) (* (- x y) z)) (- x y))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*l/`
16×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-l`
8×	`frac-times` `add-cube-cbrt` `flip3--` `flip--` `associate-/l/`
7×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+`
5×	`times-frac` `associate-/r*`
4×	`associate-r/` `associate-r*` `pow-prod-down`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`associate-/r/` `*-commutative`
1×	`frac-2neg` `clear-num` `div-inv` `distribute-lft-out` `associate-/l*` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

46.0ms	(* (- x y) z)
60.0ms	(* (+ x y) (* (- x y) z))
69.0ms	(/ (* (+ x y) (* (- x y) z)) (- x y))

series160.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (- x y) z)
81.0ms	(* (+ x y) (* (- x y) z))
38.0ms	(/ (* (+ x y) (* (- x y) z)) (- x y))

simplify2.9s

Counts

101 → 101

Iterations

Useful iterations: 2 (625.0ms)

Iter	Nodes	Cost
0	141	1372
1	430	1320
2	3479	1054
done	5001	1054

prune296.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (* y y) (* x y))
3.9b	(+ (pow x 3) (pow y 3))
7.4b	(* (+ (pow x 3) (pow y 3)) z)
37.0b	(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`fma-def`
11×	`add-exp-log` `add-cube-cbrt` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
10×	`distribute-lft-out`
9×	`associate-l`
8×	`add-log-exp`
6×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u`
3×	`times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `sum-cubes` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr` `sqr-pow`

Counts

4 → 103

Calls

4 calls:

9.0ms	(- (* y y) (* x y))
36.0ms	(+ (pow x 3) (pow y 3))
122.0ms	(* (+ (pow x 3) (pow y 3)) z)
126.0ms	(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

series381.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* y y) (* x y))
96.0ms	(+ (pow x 3) (pow y 3))
84.0ms	(* (+ (pow x 3) (pow y 3)) z)
142.0ms	(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

simplify2.2s

Counts

115 → 115

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	146	1611
1	400	1389
2	2246	1214
done	5001	1206

prune544.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
done	7	5

end0.0ms

sample772.0ms

Algorithm

intervals

Results

308.0ms

9995×

body

valid