Details

sample60.0ms

Algorithm

intervals

Results

21.0ms	129×	pre	10240	exit
9.0ms	256×	body	80	valid
4.0ms	127×	pre	80	true

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	6

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
7.6b	(- (/ x0 (- 1.0 x1)) x0)

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
76×	`times-frac`
69×	`add-cube-cbrt`
63×	`prod-diff`
21×	`fma-neg`
18×	`difference-of-squares`
17×	`distribute-lft-out--`
10×	`associate-/r/`
6×	`flip3--` `flip--`
5×	`associate-/r*` `div-inv`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp`

Counts

2 → 142

Calls

2 calls:

15.0ms	(/ x0 (- 1.0 x1))
142.0ms	(- (/ x0 (- 1.0 x1)) x0)

series128.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ x0 (- 1.0 x1))
77.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify5.0s

Counts

148 → 148

Iterations

Iter	Nodes
done	5000
3	4201
2	1179
1	452
0	192

prune674.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (cbrt x0) (- 1.0 x1))
6.3b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`add-cube-cbrt`
18×	`cbrt-prod`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/l*`
5×	`associate-/r*`
4×	`add-exp-log`
3×	`add-cbrt-cube`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 69

Calls

2 calls:

20.0ms	(/ (cbrt x0) (- 1.0 x1))
1.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series257.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(/ (cbrt x0) (- 1.0 x1))
134.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify3.5s

Counts

75 → 75

Iterations

Iter	Nodes
done	5002
3	3694
2	961
1	316
0	153

prune517.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
6.7b	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
72×	`sqrt-prod`
57×	`*-un-lft-identity`
54×	`times-frac`
29×	`add-cube-cbrt`
28×	`difference-of-squares`
14×	`distribute-lft-out--`
9×	`associate-/r*`
6×	`associate-/l*`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 97

Calls

2 calls:

27.0ms	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
1.0ms	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

series559.0ms

Counts

2 → 6

Calls

2 calls:

178.0ms	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
380.0ms	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

simplify3.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	2996
2	1005
1	377
0	171

prune486.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 5.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
7.1b	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
54×	`times-frac`
42×	`sqrt-prod`
30×	`cbrt-prod`
29×	`add-cube-cbrt`
28×	`difference-of-squares`
14×	`distribute-lft-out--`
9×	`associate-/r*`
6×	`associate-/l*`
4×	`add-exp-log`
3×	`add-cbrt-cube`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 97

Calls

2 calls:

27.0ms	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
1.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

series581.0ms

Counts

2 → 6

Calls

2 calls:

287.0ms	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
294.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

simplify2.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1677
1	530
0	228

prune535.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 5.0b

regimes297.0ms

Accuracy

44.1% (1.2b remaining)

Error of 6.0b against oracle of 4.8b and baseline of 6.9b

bsearch32.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.018204597656249998

simplify7.0ms

Iterations

Iter	Nodes
done	25
1	25
0	22

end0.0ms

sample909.0ms

Algorithm

intervals

Results

442.0ms	4017×	pre	10240	exit
187.0ms	8000×	body	80	valid
92.0ms	3983×	pre	80	true