Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

324×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 5 (60.0ms)

Iter	Nodes	Cost
0	14	17
1	25	17
2	49	16
3	89	16
4	163	16
5	257	15
6	420	15
7	855	15
8	3148	15
done	5000	15

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- 1.0 t) 1)
0.1b	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
9.4b	(/ (fma z (- 1.0 t) 1) z)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma z (- 1.0 t) 1)
0.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
3.0ms	(/ (fma z (- 1.0 t) 1) z)

series148.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(fma z (- 1.0 t) 1)
95.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
32.0ms	(/ (fma z (- 1.0 t) 1) z)

simplify2.4s

Counts

58 → 58

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	87	785
1	156	772
2	360	685
3	1117	684
4	4716	683
done	5000	683

prune215.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1 z) 1.0)
0.0b	(- (+ (/ 1 z) 1.0) t)
0.1b	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

11.0ms	(+ (/ 1 z) 1.0)
88.0ms	(- (+ (/ 1 z) 1.0) t)
0.0ms	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

series94.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (/ 1 z) 1.0)
15.0ms	(- (+ (/ 1 z) 1.0) t)
66.0ms	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

simplify1.1s

Counts

87 → 87

Iterations

Useful iterations: 3 (338.0ms)

Iter	Nodes	Cost
0	102	1056
1	231	900
2	556	760
3	1984	705
done	5001	705

prune235.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

468.0ms	(* (cbrt z) (cbrt z))
203.0ms	(cbrt z)
201.0ms	(cbrt z)
196.0ms	(cbrt z)

simplify3.2s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	329	423
3	1180	405
4	3749	400
done	5000	400

prune347.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b	(* (* z 2.0) (- 1.0 t))
10.1b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 99

Calls

3 calls:

22.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
14.0ms	(* (* z 2.0) (- 1.0 t))
11.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series175.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
54.0ms	(* (* z 2.0) (- 1.0 t))
68.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.1s

Counts

108 → 108

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	194	1833
1	551	1594
2	1924	1324
done	5000	1306

prune282.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	15	15
done	15	15

end0.0ms

sample678.0ms

Algorithm

intervals

Results

412.0ms

10453×

body

valid