Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

274×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5062
9	3430
8	730
7	300
6	170
5	118
4	88
3	60
2	38
1	19
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
9.0b	(/ (- x (* y z)) (- t (* a z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
6×	`fma-neg` `prod-diff`
5×	`add-cbrt-cube` `add-exp-log`
4×	`flip3--` `flip--`
3×	`expm1-log1p-u` `pow1` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

3 → 74

Calls

3 calls:

5.0ms	(- t (* a z))
5.0ms	(- x (* y z))
18.0ms	(/ (- x (* y z)) (- t (* a z)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- t (* a z))
45.0ms	(- x (* y z))
79.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify2.0s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	3375
2	966
1	304
0	120

prune695.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* z y))
9.0b	(/ (- x (* z y)) (- t (* a z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
6×	`fma-neg` `prod-diff`
5×	`add-cbrt-cube` `add-exp-log`
4×	`flip3--` `flip--`
3×	`expm1-log1p-u` `pow1` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

3 → 74

Calls

3 calls:

5.0ms	(- t (* a z))
5.0ms	(- x (* z y))
15.0ms	(/ (- x (* z y)) (- t (* a z)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- t (* a z))
50.0ms	(- x (* z y))
95.0ms	(/ (- x (* z y)) (- t (* a z)))

simplify2.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	5037
3	3380
2	950
1	302
0	120

prune631.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
0.8b	(/ 1 (- t (* a z)))
8.7b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
6×	`flip3--` `fma-neg` `prod-diff` `flip--`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `sub-neg` `diff-log` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 119

Calls

4 calls:

5.0ms	(- t (* a z))
5.0ms	(- x (* y z))
9.0ms	(/ 1 (- t (* a z)))
28.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- t (* a z))
57.0ms	(- x (* y z))
101.0ms	(/ 1 (- t (* a z)))
85.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify3.1s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
3	3369
2	1090
1	396
0	161

prune967.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 8.9b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* z y))
0.8b	(/ 1 (- t (* a z)))
8.7b	(* (+ (- x (* z y)) (fma (- z) y (* z y))) (/ 1 (- t (* a z))))
52.8b	(fma (- z) y (* z y))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `div-exp` `associate-l` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`associate-/r` `flip3--` `fma-neg` `prod-diff` `flip--` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `div-inv`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

4 → 110

Calls

4 calls:

9.0ms	(- x (* z y))
8.0ms	(/ 1 (- t (* a z)))
104.0ms	(* (+ (- x (* z y)) (fma (- z) y (* z y))) (/ 1 (- t (* a z))))
1.0ms	(fma (- z) y (* z y))

series307.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- x (* z y))
66.0ms	(/ 1 (- t (* a z)))
137.0ms	(* (+ (- x (* z y)) (fma (- z) y (* z y))) (/ 1 (- t (* a z))))
56.0ms	(fma (- z) y (* z y))

simplify3.0s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
3	4818
2	1434
1	418
0	166

prune784.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 8.9b

regimes762.0ms

Accuracy

0% (0.3b remaining)

Error of 11.1b against oracle of 10.8b and baseline of 11.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

917.0ms

8759×

body

valid