Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

283×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	62	10
4	104	10
5	148	10
6	192	10
7	219	10
8	253	10
9	302	10
10	422	10
11	613	10
12	659	10
13	694	10
14	696	10
done	696	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

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

series154.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (- y z) (- a z))
93.0ms	(fma (/ (- y z) (- a z)) t x)

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	599	808
3	1462	808
4	4029	806
done	5001	806

prune193.0ms

Pruning

5 alts after pruning (5 fresh and 0 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)

rewrite37.0ms

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:

5.0ms	(/ 1 (- a z))
27.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

series176.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 1 (- a z))
52.0ms	(* (- y z) (/ 1 (- a z)))
84.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

simplify2.6s

Counts

114 → 114

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	149	1251
1	334	1062
2	992	918
3	3024	918
done	5000	917

prune255.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
1.0b	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))
0.0ms	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t x)

series541.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (- y z))
152.0ms	(cbrt (- y z))
155.0ms	(cbrt (- y z))
79.0ms	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t x)

simplify1.5s

Counts

73 → 73

Iterations

Useful iterations: 4 (658.0ms)

Iter	Nodes	Cost
0	93	891
1	191	873
2	418	719
3	1002	650
4	3252	614
done	5001	614

prune264.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* t (/ (- y z) (- a z))) x)
0.0b	(/ (- y z) (- a z))
2.2b	(* t (/ (- y z) (- a z)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 120

Calls

3 calls:

8.0ms	(+ (* t (/ (- y z) (- a z))) x)
12.0ms	(/ (- y z) (- a z))
26.0ms	(* t (/ (- y z) (- a z)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (* t (/ (- y z) (- a z))) x)
48.0ms	(/ (- y z) (- a z))
70.0ms	(* t (/ (- y z) (- a z)))

simplify1.7s

Counts

129 → 129

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	168	1615
1	436	1506
2	1150	1422
3	3622	1414
done	5000	1412

prune325.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample541.0ms

Algorithm

intervals

Results

277.0ms

8768×

body

valid