Details

sample49.0ms

Algorithm

intervals

Results

19.0ms

331×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1516
4	404
3	119
2	46
1	22
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
10.0b	(/ (* x (+ (- y z) 1.0)) z)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`associate-/r` `times-frac` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

78.0ms	(* x (+ (- y z) 1.0))
36.0ms	(/ (* x (+ (- y z) 1.0)) z)

series118.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (+ (- y z) 1.0))
80.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify1.1s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
2	1306
1	280
0	98

prune274.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (/ x z) 1.0 (* (/ x z) y))
0.0b	(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
3.7b	(* (/ x z) y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt`
13×	`associate-l`
10×	`times-frac`
9×	`prod-diff`
8×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u`
2×	`prod-exp` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `associate--l+` `-commutative` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 73

Calls

3 calls:

0.0ms	(fma (/ x z) 1.0 (* (/ x z) y))
5.0ms	(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
24.0ms	(* (/ x z) y)

series195.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(fma (/ x z) 1.0 (* (/ x z) y))
74.0ms	(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
34.0ms	(* (/ x z) y)

simplify1.0s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1274
1	304
0	130

prune413.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.4b	(/ x (/ z (+ (- y z) 1.0)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`

Counts

2 → 143

Calls

2 calls:

42.0ms	(/ z (+ (- y z) 1.0))
55.0ms	(/ x (/ z (+ (- y z) 1.0)))

series142.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(/ z (+ (- y z) 1.0))
69.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify1.2s

Counts

149 → 149

Iterations

Iter	Nodes
done	5001
2	2529
1	528
0	204

prune647.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (- y z) 1.0))
0.4b	(cbrt (+ (- y z) 1.0))
0.4b	(* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))
3.4b	(/ x (* (/ 1 (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ z (cbrt (+ (- y z) 1.0)))))

rewrite434.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
67×	`add-exp-log`
46×	`cbrt-prod`
30×	`div-exp`
26×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
21×	`prod-exp`
20×	`distribute-lft-out`
16×	`cbrt-div` `add-cube-cbrt`
14×	`cbrt-undiv` `swap-sqr`
11×	`pow1`
10×	`distribute-lft-out--`
9×	`cbrt-unprod`
8×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+`
5×	`frac-times`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`times-frac` `associate-l/` `associate-r/` `associate-/r/` `associate-/l*`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `clear-num` `associate-/r` `frac-2neg` `pow-plus` `-commutative` `div-inv`

Counts

4 → 140

Calls

4 calls:

13.0ms	(cbrt (+ (- y z) 1.0))
16.0ms	(cbrt (+ (- y z) 1.0))
145.0ms	(* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))
255.0ms	(/ x (* (/ 1 (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ z (cbrt (+ (- y z) 1.0)))))

series490.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (+ (- y z) 1.0))
142.0ms	(cbrt (+ (- y z) 1.0))
145.0ms	(* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))
68.0ms	(/ x (* (/ 1 (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ z (cbrt (+ (- y z) 1.0)))))

simplify2.4s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	3655
1	710
0	246

prune709.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes289.0ms

Accuracy

91% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	26
1	26
0	20

end0.0ms

sample1.0s

Algorithm

intervals

Results

487.0ms

10133×

body

valid