Details

sample55.0ms

Algorithm

intervals

Results

21.0ms

267×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (54.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	265	12
5	959	12
6	4331	12
done	5000	12

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)
0.0b	(/ (- z y) (+ (- t z) 1.0))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out` `distribute-lft-out--`
6×	`difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

0.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)
87.0ms	(/ (- z y) (+ (- t z) 1.0))

series249.0ms

Counts

2 → 6

Calls

2 calls:

159.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)
90.0ms	(/ (- z y) (+ (- t z) 1.0))

simplify874.0ms

Counts

70 → 70

Iterations

Useful iterations: done (871.0ms)

Iter	Nodes	Cost
0	116	1048
1	284	1006
2	1027	942
done	5001	936

prune362.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
0.0b	(/ (+ (- t z) 1.0) (- z y))
0.4b	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
218×	`times-frac`
143×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out` `distribute-lft-out--`
36×	`associate-/r*`
26×	`difference-of-squares`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3--` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`associate-+l-` `pow-flip` `flip3-+` `div-sub` `flip-+` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

1.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
129.0ms	(/ (+ (- t z) 1.0) (- z y))
95.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

series533.0ms

Counts

3 → 9

Calls

3 calls:

298.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
114.0ms	(/ (+ (- t z) 1.0) (- z y))
121.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

simplify2.1s

Counts

223 → 223

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	260	4252
1	671	3672
2	3835	3527
done	5002	3516

prune842.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 1 (cbrt (/ (+ (- t z) 1.0) (- z y)))) (cbrt (/ (+ (- t z) 1.0) (- z y))))
3.1b	(cbrt (/ (+ (- t z) 1.0) (- z y)))
3.1b	(cbrt (/ (+ (- t z) 1.0) (- z y)))
3.1b	(cbrt (/ (+ (- t z) 1.0) (- z y)))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

12608×	`times-frac`
11378×	`*-un-lft-identity`
6696×	`cbrt-prod`
5978×	`add-sqr-sqrt`
3818×	`add-cube-cbrt`
2160×	`distribute-lft-out` `distribute-lft-out--`
1080×	`difference-of-squares`
468×	`associate-/r/`
252×	`div-inv`
216×	`flip3--` `flip--`
107×	`associate-/l*`
39×	`cbrt-div`
34×	`associate-/r*`
13×	`add-exp-log`
7×	`pow1`
6×	`div-exp` `add-cbrt-cube`
5×	`pow1/3`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow-div`
2×	`pow-flip`
1×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `inv-pow`

Counts

4 → 3928

Calls

4 calls:

302.0ms	(/ (/ 1 (cbrt (/ (+ (- t z) 1.0) (- z y)))) (cbrt (/ (+ (- t z) 1.0) (- z y))))
34.0ms	(cbrt (/ (+ (- t z) 1.0) (- z y)))
28.0ms	(cbrt (/ (+ (- t z) 1.0) (- z y)))
24.0ms	(cbrt (/ (+ (- t z) 1.0) (- z y)))

series2.3s

Counts

4 → 12

Calls

4 calls:

991.0ms	(/ (/ 1 (cbrt (/ (+ (- t z) 1.0) (- z y)))) (cbrt (/ (+ (- t z) 1.0) (- z y))))
434.0ms	(cbrt (/ (+ (- t z) 1.0) (- z y)))
450.0ms	(cbrt (/ (+ (- t z) 1.0) (- z y)))
467.0ms	(cbrt (/ (+ (- t z) 1.0) (- z y)))

simplify1.8s

Counts

3940 → 3940

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	2768	192289
done	5000	186916

prune17.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes335.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	12	12
done	12	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

545.0ms	8509×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid