Details

sample50.0ms

Algorithm

intervals

Results

17.0ms

310×

body

valid

simplify335.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	114
9	114
8	111
7	105
6	91
5	79
4	62
3	41
2	25
1	15
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- 1.0 z))
5.3b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite609.0ms

Algorithm

rewrite-expression-head

Rules

791×	`times-frac`
720×	`add-sqr-sqrt`
717×	`*-un-lft-identity`
546×	`prod-diff`
542×	`add-cube-cbrt`
275×	`distribute-rgt-in` `distribute-lft-in`
86×	`distribute-lft-out--` `difference-of-squares`
69×	`div-inv`
54×	`associate-/r/`
28×	`flip3--` `flip--`
10×	`associate-r`
6×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r*`
4×	`pow1`
3×	`associate-l` `associate-r/` `associate-/l`
2×	`expm1-log1p-u` `sub-neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

2 → 621

Calls

2 calls:

18.0ms	(/ t (- 1.0 z))
403.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series193.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ t (- 1.0 z))
138.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify8.3s

Counts

627 → 627

Iterations

Iter	Nodes
done	5000
2	4384
1	1726
0	994

prune6.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize119.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1 (- 1.0 z)) t)
0.1b	(fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t)))
5.3b	(* (fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t))) x)
25.0b	(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
24×	`associate-l`
23×	`*-un-lft-identity`
17×	`times-frac`
16×	`add-cube-cbrt`
15×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`pow1`
6×	`associate-r`
5×	`prod-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `fma-udef`
1×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `associate-*l/` `div-inv` `flip--`

Counts

4 → 89

Calls

4 calls:

63.0ms	(* (/ 1 (- 1.0 z)) t)
2.0ms	(fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t)))
19.0ms	(* (fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t))) x)
2.0ms	(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

series366.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (/ 1 (- 1.0 z)) t)
96.0ms	(fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t)))
90.0ms	(* (fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t))) x)
127.0ms	(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

simplify5.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5019
3	3383
2	1135
1	400
0	176

prune1.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 z))
0.1b	(* (/ 1 (- 1.0 z)) t)
0.1b	(fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t)))
5.3b	(* (fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t))) x)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-l`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-r`
5×	`associate-/r*` `prod-exp`
4×	`expm1-log1p-u` `div-exp` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `pow-prod-down` `*-commutative` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `associate-*l/` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 122

Calls

4 calls:

17.0ms	(/ 1 (- 1.0 z))
78.0ms	(* (/ 1 (- 1.0 z)) t)
1.0ms	(fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t)))
10.0ms	(* (fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t))) x)

series294.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ 1 (- 1.0 z))
49.0ms	(* (/ 1 (- 1.0 z)) t)
99.0ms	(fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t)))
114.0ms	(* (fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t))) x)

simplify6.7s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
3	4664
2	1347
1	478
0	201

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
5.3b	(* x (- (/ y z) (/ (* (cbrt t) (cbrt t)) (/ (- 1.0 z) (cbrt t)))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

2380×	`times-frac`
1361×	`add-sqr-sqrt`
1337×	`*-un-lft-identity`
1023×	`add-cube-cbrt`
1014×	`prod-diff`
509×	`distribute-rgt-in` `distribute-lft-in`
401×	`cbrt-prod`
164×	`difference-of-squares`
157×	`distribute-lft-out--`
130×	`div-inv`
26×	`associate-/r/`
12×	`associate-r`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `associate-*r/`
2×	`sub-neg`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

4 → 1093

Calls

4 calls:

2.0ms	(cbrt t)
2.0ms	(cbrt t)
2.0ms	(cbrt t)
663.0ms	(* x (- (/ y z) (/ (* (cbrt t) (cbrt t)) (/ (- 1.0 z) (cbrt t)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

289.0ms	(cbrt t)
347.0ms	(cbrt t)
294.0ms	(cbrt t)
146.0ms	(* x (- (/ y z) (/ (* (cbrt t) (cbrt t)) (/ (- 1.0 z) (cbrt t)))))

simplify9.6s

Counts

1105 → 1105

Iterations

Iter	Nodes
done	5002
1	3534
0	1706

prune18.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.9s

Accuracy

69.1% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 4.9b

bsearch2.0ms

simplify27.0ms

Iterations

Iter	Nodes
done	45
2	45
1	40
0	27

end0.0ms

sample1.4s

Algorithm

intervals

Results

695.0ms

10115×

body

valid