Details

sample50.0ms

Algorithm

intervals

Results

20.0ms	277×	body	80	valid
0.0ms	1×	body	640	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (17.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.3b	(fma (/ (- y z) (- a z)) t x)

rewrite28.0ms

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:

25.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series141.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- y z) (- a z))
88.0ms	(fma (/ (- y z) (- a z)) t x)

simplify2.6s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.5s)

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

prune277.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (- a z)) (/ z (- a z)))
0.0b	(/ z (- a z))
0.0b	(/ y (- a z))
0.3b	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

rewrite250.0ms

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:

160.0ms	(- (/ y (- a z)) (/ z (- a z)))
25.0ms	(/ z (- a z))
12.0ms	(/ y (- a z))
0.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

series402.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (/ y (- a z)) (/ z (- a z)))
56.0ms	(/ z (- a z))
42.0ms	(/ y (- a z))
209.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

simplify2.2s

Counts

593 → 593

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	570	28404
1	1227	25505
2	2590	19553
done	5001	14972

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z) (- a z))
0.0b	(/ 1 (- a z))
0.1b	(fma y (/ 1 (- a z)) (/ (- z) (- a z)))
0.3b	(fma (fma y (/ 1 (- a z)) (/ (- z) (- a z))) t x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt` `*-un-lft-identity`
65×	`times-frac`
43×	`add-cube-cbrt`
18×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
15×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/l*`
10×	`add-exp-log` `associate-/r*`
8×	`add-cbrt-cube`
6×	`neg-mul-1`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `flip--` `fma-udef` `div-inv`
1×	`neg-sub0` `rec-exp` `pow-flip` `1-exp` `div-sub` `distribute-frac-neg` `inv-pow`

Counts

4 → 146

Calls

4 calls:

22.0ms	(/ (- z) (- a z))
14.0ms	(/ 1 (- a z))
0.0ms	(fma y (/ 1 (- a z)) (/ (- z) (- a z)))
0.0ms	(fma (fma y (/ 1 (- a z)) (/ (- z) (- a z))) t x)

series416.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (- z) (- a z))
40.0ms	(/ 1 (- a z))
87.0ms	(fma y (/ 1 (- a z)) (/ (- z) (- a z)))
242.0ms	(fma (fma y (/ 1 (- a z)) (/ (- z) (- a z))) t x)

simplify2.0s

Counts

158 → 158

Iterations

Useful iterations: 3 (486.0ms)

Iter	Nodes	Cost
0	200	1843
1	378	1712
2	798	1574
3	1937	1572
done	5000	1572

prune681.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.7b	(pow (cbrt (- a z)) 3)
0.7b	(pow (cbrt (- a z)) 3)
0.7b	(pow (cbrt (- a z)) 3)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod`
34×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`unpow-prod-down` `cube-prod`
20×	`add-cube-cbrt`
9×	`pow-unpow`
8×	`cbrt-div`
7×	`pow1` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
6×	`cube-div` `pow-pow`
4×	`expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 131

Calls

4 calls:

6.0ms	(cbrt (- a z))
20.0ms	(pow (cbrt (- a z)) 3)
20.0ms	(pow (cbrt (- a z)) 3)
21.0ms	(pow (cbrt (- a z)) 3)

series776.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt (- a z))
171.0ms	(pow (cbrt (- a z)) 3)
190.0ms	(pow (cbrt (- a z)) 3)
204.0ms	(pow (cbrt (- a z)) 3)

simplify3.4s

Counts

143 → 143

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	111	1543
1	294	1055
2	705	970
3	3624	936
done	5000	921

prune625.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes274.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	16	16
done	16	16

end0.0ms

sample1.6s

Algorithm

intervals

Results

561.0ms	8698×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid