Details

sample36.0ms

Algorithm

intervals

Results

13.0ms

345×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	49	8
4	100	8
5	174	8
6	256	8
7	338	8
8	599	8
9	1151	8
10	3456	8
done	5000	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

2.7b	(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify2.4s

Counts

13 → 13

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	24	154
1	41	154
2	94	138
3	282	123
4	2029	123
done	5002	123

prune76.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- z t) (/ a y)) x)
5.6b	(/ (- z t) (/ a y))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 188

Calls

2 calls:

125.0ms	(+ (/ (- z t) (/ a y)) x)
24.0ms	(/ (- z t) (/ a y))

series145.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(+ (/ (- z t) (/ a y)) x)
59.0ms	(/ (- z t) (/ a y))

simplify1.2s

Counts

194 → 194

Iterations

Useful iterations: 2 (371.0ms)

Iter	Nodes	Cost
0	224	1920
1	675	1808
2	3082	1697
done	5001	1697

prune712.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ z (/ a y)) (- (/ t (/ a y)) x))
3.5b	(/ t (/ a y))
4.3b	(/ z (/ a y))

rewrite345.0ms

Algorithm

rewrite-expression-head

Rules

1011×	`times-frac`
965×	`add-sqr-sqrt`
653×	`*-un-lft-identity`
560×	`add-cube-cbrt`
440×	`prod-diff`
135×	`difference-of-squares`
134×	`associate--r+`
54×	`div-inv`
47×	`distribute-lft-out--`
44×	`fma-neg`
26×	`associate-/r*`
13×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
8×	`add-log-exp`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
3×	`pow1` `expm1-log1p-u` `diff-log` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `frac-2neg` `clear-num` `frac-sub` `flip--`
1×	`associate--r-`

Counts

3 → 653

Calls

3 calls:

244.0ms	(- (/ z (/ a y)) (- (/ t (/ a y)) x))
17.0ms	(/ t (/ a y))
12.0ms	(/ z (/ a y))

series143.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (/ z (/ a y)) (- (/ t (/ a y)) x))
39.0ms	(/ t (/ a y))
40.0ms	(/ z (/ a y))

simplify1.2s

Counts

662 → 662

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	873	28481
1	2160	23825
done	5001	20345

prune2.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
1.9b	(* (* (cbrt z) (cbrt z)) (/ (cbrt z) (/ a y)))
2.7b	(/ (cbrt z) (/ a y))
3.5b	(/ t (/ a y))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

354×	`times-frac`
204×	`add-sqr-sqrt`
193×	`add-cube-cbrt` `*-un-lft-identity`
86×	`cbrt-prod`
83×	`associate-r`
35×	`add-exp-log`
26×	`associate-/r*`
23×	`add-cbrt-cube`
20×	`div-inv`
12×	`cbrt-undiv` `div-exp`
9×	`pow1` `prod-exp` `cbrt-unprod` `associate-/l*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-/r/`
2×	`frac-2neg` `clear-num`
1×	`pow1/3` `associate-r/` `associate-l` `-commutative`

Counts

4 → 313

Calls

4 calls:

1.0ms	(cbrt z)
92.0ms	(* (* (cbrt z) (cbrt z)) (/ (cbrt z) (/ a y)))
18.0ms	(/ (cbrt z) (/ a y))
18.0ms	(/ t (/ a y))

series645.0ms

Counts

4 → 12

Calls

4 calls:

357.0ms	(cbrt z)
82.0ms	(* (* (cbrt z) (cbrt z)) (/ (cbrt z) (/ a y)))
164.0ms	(/ (cbrt z) (/ a y))
41.0ms	(/ t (/ a y))

simplify1.0s

Counts

325 → 325

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	437	4587
1	1432	4312
done	5000	4039

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes527.0ms

Accuracy

80.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.4b

bsearch2.0ms

simplify19.0ms

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	26	73
1	38	50
2	43	49
3	48	49
done	48	49

end0.0ms

sample1.4s

Algorithm

intervals

Results

630.0ms

10760×

body

valid