Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

323×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	7	9
1	11	9
2	20	8
3	36	8
4	54	8
5	74	8
6	97	8
7	134	8
8	202	8
9	287	8
10	412	8
11	697	8
12	1693	8
done	5000	8

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.8b

localize15.0ms

Local error

Found 1 expressions with local error:

7.3b	(/ (fma (- z x) y x) z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

11.0ms

(/ (fma (- z x) y x) z)

series90.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

(/ (fma (- z x) y x) z)

simplify2.0s

Counts

32 → 32

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	59	438
1	103	429
2	234	397
3	587	397
4	1700	397
done	5000	397

prune142.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.3b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x z) y)
0.0b	(- (+ (/ x z) y) (/ (* x y) z))
5.3b	(/ (* x y) z)

rewrite314.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 103

Calls

3 calls:

38.0ms	(+ (/ x z) y)
235.0ms	(- (+ (/ x z) y) (/ (* x y) z))
33.0ms	(/ (* x y) z)

series120.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (/ x z) y)
66.0ms	(- (+ (/ x z) y) (/ (* x y) z))
26.0ms	(/ (* x y) z)

simplify2.6s

Counts

112 → 112

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	154	2085
1	390	1744
2	1379	1437
done	5000	1185

prune321.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ (- y) 1) (/ x z)) y)
3.9b	(* (+ (- y) 1) (/ x z))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

29.0ms	(+ (* (+ (- y) 1) (/ x z)) y)
68.0ms	(* (+ (- y) 1) (/ x z))

series84.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* (+ (- y) 1) (/ x z)) y)
44.0ms	(* (+ (- y) 1) (/ x z))

simplify4.6s

Counts

60 → 60

Iterations

Useful iterations: 3 (3.2s)

Iter	Nodes	Cost
0	115	765
1	313	696
2	1132	584
3	4501	562
done	5000	562

prune234.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- 1 y))
0.3b	(cbrt (+ (- y) 1))
0.3b	(cbrt (+ (- y) 1))
1.8b	(* (* (cbrt (+ (- y) 1)) (cbrt (+ (- y) 1))) (/ (* x (cbrt (- 1 y))) z))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
25×	`add-exp-log`
20×	`*-un-lft-identity`
17×	`add-cbrt-cube`
16×	`cbrt-prod` `frac-times`
14×	`flip3-+` `flip-+`
13×	`add-sqr-sqrt`
12×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
9×	`pow1` `add-cube-cbrt`
7×	`associate-r`
5×	`associate-*r/`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`times-frac` `pow1/3` `pow-prod-down`
2×	`distribute-rgt-neg-in` `difference-of-squares`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(cbrt (- 1 y))
10.0ms	(cbrt (+ (- y) 1))
16.0ms	(cbrt (+ (- y) 1))
165.0ms	(* (* (cbrt (+ (- y) 1)) (cbrt (+ (- y) 1))) (/ (* x (cbrt (- 1 y))) z))

series217.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(cbrt (- 1 y))
57.0ms	(cbrt (+ (- y) 1))
65.0ms	(cbrt (+ (- y) 1))
38.0ms	(* (* (cbrt (+ (- y) 1)) (cbrt (+ (- y) 1))) (/ (* x (cbrt (- 1 y))) z))

simplify1.8s

Counts

114 → 114

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	208	2188
1	526	1835
2	1585	1444
done	5000	1288

prune396.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes70.0ms

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	9	10
1	14	10
done	14	10

end0.0ms

sample894.0ms

Algorithm

intervals

Results

449.0ms

9996×

body

valid