Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

282×

body

valid

simplify571.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	670
6	223
5	122
4	88
3	60
2	38
1	19
0	10

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* y z))
7.8b	(/ (- x (* y z)) (- t (* a z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

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

series121.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- x (* y z))
78.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify773.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
2	1057
1	261
0	100

prune428.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y z))
0.5b	(/ 1 (fma a (- z) t))
7.7b	(* (- x (* y z)) (/ 1 (fma a (- z) t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
16×	`add-exp-log`
13×	`associate-r`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp`
3×	`expm1-log1p-u` `associate-/r` `flip3--` `fma-neg` `associate-l` `prod-diff` `log1p-expm1-u` `flip--` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 95

Calls

3 calls:

8.0ms	(- x (* y z))
10.0ms	(/ 1 (fma a (- z) t))
20.0ms	(* (- x (* y z)) (/ 1 (fma a (- z) t)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- x (* y z))
43.0ms	(/ 1 (fma a (- z) t))
75.0ms	(* (- x (* y z)) (/ 1 (fma a (- z) t)))

simplify2.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	2109
1	305
0	130

prune635.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* z y))
7.8b	(/ (- x (* z y)) (fma a (- z) t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

9.0ms	(- x (* z y))
11.0ms	(/ (- x (* z y)) (fma a (- z) t))

series178.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- x (* z y))
133.0ms	(/ (- x (* z y)) (fma a (- z) t))

simplify604.0ms

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
2	879
1	211
0	91

prune386.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (fma a (- z) t)) (/ y (/ (fma a (- z) t) z)))
1.2b	(/ x (fma a (- z) t))
3.6b	(/ y (/ (fma a (- z) t) z))
5.5b	(/ (fma a (- z) t) z)

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

1367×	`times-frac`
853×	`add-sqr-sqrt`
838×	`*-un-lft-identity`
832×	`add-cube-cbrt`
572×	`prod-diff`
104×	`div-inv`
19×	`associate-/r*`
14×	`associate-/r/`
13×	`add-cbrt-cube` `fma-neg` `add-exp-log`
9×	`associate-/l*`
6×	`add-log-exp` `difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`clear-num` `frac-2neg`
2×	`distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--`

Counts

4 → 738

Calls

4 calls:

69.0ms	(- (/ x (fma a (- z) t)) (/ y (/ (fma a (- z) t) z)))
5.0ms	(/ x (fma a (- z) t))
9.0ms	(/ y (/ (fma a (- z) t) z))
10.0ms	(/ (fma a (- z) t) z)

series343.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(- (/ x (fma a (- z) t)) (/ y (/ (fma a (- z) t) z)))
69.0ms	(/ x (fma a (- z) t))
69.0ms	(/ y (/ (fma a (- z) t) z))
47.0ms	(/ (fma a (- z) t) z)

simplify1.1s

Counts

750 → 750

Iterations

Iter	Nodes
done	5000
1	2335
0	984

prune5.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

regimes479.0ms

Accuracy

84.2% (0.2b remaining)

Error of 1.7b against oracle of 1.4b and baseline of 2.9b

bsearch109.0ms

Steps

Iters	Range		Point
6	3.0359528476132e-62	2.3465896586148578e-61	3.2598341385760975e-62
8	-8.146462756016556e-76	-1.8867076666763535e-79	-1.7086698440341431e-77

simplify6.0ms

Iterations

Iter	Nodes
done	30
1	30
0	23

end0.0ms

sample1.2s

Algorithm

intervals

Results

591.0ms

8710×

body

valid