Details

sample39.0ms

Algorithm

intervals

Results

13.0ms

284×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	63	10
4	106	10
5	167	10
6	222	10
7	255	10
8	289	10
9	338	10
10	450	10
11	570	10
12	624	10
13	636	10
14	638	10
done	638	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

32.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series190.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(/ (- y z) (- a z))
108.0ms	(fma (/ (- y z) (- a z)) t x)

simplify3.0s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	633	808
3	1589	808
4	4605	806
done	5000	806

prune564.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

20.0ms	(/ y (- a z))
142.0ms	(- (/ y (- a z)) (/ z (- a z)))
15.0ms	(/ z (- a z))
0.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

series502.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ y (- a z))
128.0ms	(- (/ y (- a z)) (/ z (- a z)))
73.0ms	(/ z (- a z))
250.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

simplify2.3s

Counts

593 → 593

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	570	28404
1	1227	25505
2	2579	19553
done	5000	14972

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
47×	`times-frac`
32×	`add-cube-cbrt`
13×	`fma-def`
11×	`associate-/r*`
10×	`add-exp-log` `difference-of-sqr--1`
8×	`add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`div-exp` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `clear-num` `flip-+`
1×	`+-commutative` `rec-exp` `flip3--` `pow-flip` `1-exp` `sum-log` `flip--` `fma-udef` `inv-pow`

Counts

4 → 125

Calls

4 calls:

12.0ms	(/ y (- a z))
22.0ms	(+ (/ a z) -1)
52.0ms	(/ 1 (+ (/ a z) -1))
1.0ms	(fma (- (/ y (- a z)) (/ 1 (+ (/ a z) -1))) t x)

series308.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ y (- a z))
17.0ms	(+ (/ a z) -1)
43.0ms	(/ 1 (+ (/ a z) -1))
207.0ms	(fma (- (/ y (- a z)) (/ 1 (+ (/ a z) -1))) t x)

simplify4.1s

Counts

137 → 137

Iterations

Useful iterations: 4 (2.5s)

Iter	Nodes	Cost
0	177	1379
1	334	1270
2	689	1183
3	1478	1178
4	4618	1175
done	5000	1175

prune650.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

13.0ms	(/ 1 (- a z))
83.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

series249.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ 1 (- a z))
73.0ms	(* (- y z) (/ 1 (- a z)))
108.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

simplify3.0s

Counts

114 → 114

Iterations

Useful iterations: 2 (196.0ms)

Iter	Nodes	Cost
0	149	1251
1	327	1018
2	905	918
3	2962	918
done	5000	918

prune327.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes178.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	17	16
done	17	16

end0.0ms

sample939.0ms

Algorithm

intervals

Results

391.0ms	8736×	body	80	valid
0.0ms	1×	body	160	valid