Details

sample49.0ms

Algorithm

intervals

Results

12.0ms	45×	body	1280	valid
8.0ms	144×	body	80	valid
8.0ms	38×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	11×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4085
11	1745
10	535
9	183
8	79
7	58
6	39
5	27
4	21
3	19
2	16
1	12
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1.0) (- x 1.0))
2.8b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
40×	`times-frac`
35×	`add-sqr-sqrt`
18×	`distribute-lft-out--`
14×	`distribute-lft-out`
13×	`add-cube-cbrt`
9×	`difference-of-squares`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `associate-/l*` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `frac-sub` `flip-+` `div-inv`

Counts

2 → 71

Calls

2 calls:

19.0ms	(/ (+ x 1.0) (- x 1.0))
124.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series248.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (+ x 1.0) (- x 1.0))
184.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify1.1s

Counts

77 → 77

Iterations

Iter	Nodes
done	5002
2	1301
1	321
0	135

prune316.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x 1.0))
0.1b	(* (+ x 1.0) (/ 1 (- x 1.0)))
6.6b	(- (/ x (+ x 1.0)) (* (+ x 1.0) (/ 1 (- x 1.0))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

44×	`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`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `frac-sub`
5×	`associate-/r*` `add-log-exp`
4×	`frac-times` `flip3-+` `div-exp` `associate-l` `associate-*l/` `prod-exp` `associate-/r/` `flip-+`
3×	`flip3--` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-*r/` `un-div-inv` `cbrt-unprod` `div-inv`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `*-commutative` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

3 → 108

Calls

3 calls:

10.0ms	(/ 1 (- x 1.0))
46.0ms	(* (+ x 1.0) (/ 1 (- x 1.0)))
68.0ms	(- (/ x (+ x 1.0)) (* (+ x 1.0) (/ 1 (- x 1.0))))

series237.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ 1 (- x 1.0))
59.0ms	(* (+ x 1.0) (/ 1 (- x 1.0)))
149.0ms	(- (/ x (+ x 1.0)) (* (+ x 1.0) (/ 1 (- x 1.0))))

simplify389.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
1	524
0	191

prune354.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ x 1.0) (cbrt (pow (/ 1 (- x 1.0)) 3)))
0.1b	(pow (/ 1 (- x 1.0)) 3)
6.6b	(- (/ x (+ x 1.0)) (* (+ x 1.0) (cbrt (pow (/ 1 (- x 1.0)) 3))))
15.4b	(cbrt (pow (/ 1 (- x 1.0)) 3))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-sqr-sqrt`
104×	`cbrt-prod`
103×	`*-un-lft-identity`
94×	`times-frac`
66×	`unpow-prod-down` `cube-prod`
63×	`add-cube-cbrt`
51×	`associate-r`
18×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r/`
11×	`add-exp-log`
9×	`unswap-sqr`
8×	`cube-div` `pow1` `add-cbrt-cube`
7×	`cbrt-div` `flip3--` `flip--`
6×	`div-inv` `add-log-exp`
5×	`frac-sub`
4×	`frac-times` `flip3-+` `associate-l` `associate-*l/` `pow-exp` `flip-+` `sqr-pow`
3×	`cube-mult` `pow-unpow` `pow-pow` `unpow3`
2×	`div-exp` `associate-*r/` `rem-cube-cbrt`
1×	`pow-to-exp` `cbrt-undiv` `rec-exp` `sub-neg` `pow1/3` `diff-log` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

4 → 221

Calls

4 calls:

108.0ms	(* (+ x 1.0) (cbrt (pow (/ 1 (- x 1.0)) 3)))
24.0ms	(pow (/ 1 (- x 1.0)) 3)
69.0ms	(- (/ x (+ x 1.0)) (* (+ x 1.0) (cbrt (pow (/ 1 (- x 1.0)) 3))))
22.0ms	(cbrt (pow (/ 1 (- x 1.0)) 3))

series374.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (+ x 1.0) (cbrt (pow (/ 1 (- x 1.0)) 3)))
78.0ms	(pow (/ 1 (- x 1.0)) 3)
191.0ms	(- (/ x (+ x 1.0)) (* (+ x 1.0) (cbrt (pow (/ 1 (- x 1.0)) 3))))
52.0ms	(cbrt (pow (/ 1 (- x 1.0)) 3))

simplify535.0ms

Counts

233 → 233

Iterations

Iter	Nodes
done	5001
1	1018
0	321

prune540.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* 3.0 x))
0.0b	(+ (* x (* x 1.0)) (+ 1.0 (* 3.0 x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
1×	`associate-+r+`

Counts

2 → 24

Calls

2 calls:

8.0ms	(+ 1.0 (* 3.0 x))
24.0ms	(+ (* x (* x 1.0)) (+ 1.0 (* 3.0 x)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ 1.0 (* 3.0 x))
45.0ms	(+ (* x (* x 1.0)) (+ 1.0 (* 3.0 x)))

simplify628.0ms

Counts

30 → 30

Iterations

Iter	Nodes
done	5001
2	874
1	179
0	55

prune107.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 30.3b

bsearch116.0ms

Steps

Iters	Range		Point
10	5.09324609688744e-06	47495130.80298876	10814.797939706299
8	-72632609.50044116	-1138.2876542095912	-11361.079224110175

simplify33.0ms

Iterations

Iter	Nodes
done	49
3	49
2	46
1	39
0	27

end0.0ms

sample1.4s

Algorithm

intervals

Results

462.0ms	1745×	body	1280	valid
312.0ms	4041×	body	80	valid
212.0ms	1263×	body	640	valid
118.0ms	645×	body	320	valid
62.0ms	306×	body	160	valid