Details

sample55.0ms

Algorithm

intervals

Results

22.0ms

275×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (83.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	187	12
5	305	12
6	478	12
7	702	12
8	1002	12
9	1286	12
10	1422	12
11	1461	12
12	1466	12
done	1466	12

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.2b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite74.0ms

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:

68.0ms	(/ (- z y) (+ (- t z) 1.0))
0.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series196.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(/ (- z y) (+ (- t z) 1.0))
116.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: 3 (836.0ms)

Iter	Nodes	Cost
0	116	1048
1	279	1006
2	772	940
3	2413	936
done	5000	936

prune303.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ (- t z) 1.0))
0.2b	(* (- z y) (/ 1 (+ (- t z) 1.0)))
0.2b	(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

50.0ms	(/ 1 (+ (- t z) 1.0))
184.0ms	(* (- z y) (/ 1 (+ (- t z) 1.0)))
1.0ms	(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

series265.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ 1 (+ (- t z) 1.0))
66.0ms	(* (- z y) (/ 1 (+ (- t z) 1.0)))
146.0ms	(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

simplify3.0s

Counts

114 → 114

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	156	1489
1	382	1239
2	1158	1109
3	4018	1104
done	5000	1103

prune404.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) (- z y))
0.2b	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
0.2b	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

rewrite240.0ms

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:

140.0ms	(/ (+ (- t z) 1.0) (- z y))
0.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
86.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

series587.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(/ (+ (- t z) 1.0) (- z y))
255.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
223.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

simplify3.1s

Counts

223 → 223

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	260	4252
1	587	3672
2	1471	3342
3	4792	3259
done	5000	3259

prune539.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) (- z y))
0.9b	(/ a (/ (+ (- t z) 1.0) (- z y)))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

272×	`*-un-lft-identity`
218×	`times-frac`
142×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
52×	`distribute-lft-out` `distribute-lft-out--`
36×	`associate-/r*`
26×	`difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`div-inv`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`associate-+l-` `flip3-+` `div-sub` `flip-+`

Counts

2 → 198

Calls

2 calls:

114.0ms	(/ (+ (- t z) 1.0) (- z y))
91.0ms	(/ a (/ (+ (- t z) 1.0) (- z y)))

series258.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(/ (+ (- t z) 1.0) (- z y))
158.0ms	(/ a (/ (+ (- t z) 1.0) (- z y)))

simplify1.3s

Counts

204 → 204

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	255	3980
1	585	3706
2	2138	3584
done	5000	3565

prune673.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes204.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

576.0ms	8501×	body	80	valid
0.0ms	1×	body	640	valid