Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

283×

body

valid

simplify981.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	62	10
4	104	10
5	148	10
6	190	10
7	217	10
8	251	10
9	300	10
10	416	10
11	605	10
12	651	10
13	672	10
14	674	10
done	674	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)

series126.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- y z) (- a z))
78.0ms	(fma (/ (- y z) (- a z)) t x)

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	599	808
3	1462	808
4	4019	806
done	5000	806

prune203.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite35.0ms

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:

6.0ms	(/ 1 (- a z))
25.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

series180.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1 (- a z))
51.0ms	(* (- y z) (/ 1 (- a z)))
87.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

simplify2.4s

Counts

114 → 114

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	149	1251
1	334	1018
2	898	918
3	2901	918
done	5001	917

prune271.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)

rewrite9.0ms

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)

series577.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt (- y z))
166.0ms	(cbrt (- y z))
165.0ms	(cbrt (- y z))
81.0ms	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t x)

simplify1.5s

Counts

73 → 73

Iterations

Useful iterations: 4 (676.0ms)

Iter	Nodes	Cost
0	93	891
1	191	873
2	418	719
3	1002	650
4	3317	614
done	5000	614

prune259.0ms

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)))

rewrite54.0ms

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))
29.0ms	(* t (/ (- y z) (- a z)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (* t (/ (- y z) (- a z))) x)
47.0ms	(/ (- y z) (- a z))
69.0ms	(* t (/ (- y z) (- a z)))

simplify1.6s

Counts

129 → 129

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	168	1615
1	436	1506
2	1148	1422
3	3627	1414
done	5000	1412

prune327.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes131.0ms

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

sample516.0ms

Algorithm

intervals

Results

263.0ms

8768×

body

valid