Details

sample44.0ms

Algorithm

intervals

Results

18.0ms	126×	pre	10240	exit
8.0ms	256×	body	80	valid
3.0ms	130×	pre	80	true

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	12	7
done	12	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
7.4b	(- (/ x0 (- 1.0 x1)) x0)

rewrite118.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num`

Counts

2 → 140

Calls

2 calls:

12.0ms	(/ x0 (- 1.0 x1))
97.0ms	(- (/ x0 (- 1.0 x1)) x0)

series89.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ x0 (- 1.0 x1))
46.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify2.1s

Counts

146 → 146

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	190	2805
1	422	2150
2	951	1818
3	3141	1524
done	5001	1501

prune158.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (cbrt x0) (- 1.0 x1))
6.2b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite32.0ms

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×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 67

Calls

2 calls:

27.0ms	(/ (cbrt x0) (- 1.0 x1))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series275.0ms

Counts

2 → 6

Calls

2 calls:

141.0ms	(/ (cbrt x0) (- 1.0 x1))
133.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify2.2s

Counts

73 → 73

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	151	1049
1	308	968
2	874	878
3	3337	847
done	5000	811

prune219.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.9b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
6.5b	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

rewrite31.0ms

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-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 95

Calls

2 calls:

25.0ms	(/ (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))

series595.0ms

Counts

2 → 6

Calls

2 calls:

200.0ms	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
395.0ms	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

simplify1.6s

Counts

101 → 101

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	169	1872
1	364	1737
2	886	1603
3	2279	1490
done	5000	1483

prune150.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
6.9b	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

rewrite25.0ms

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×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 95

Calls

2 calls:

20.0ms	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

series463.0ms

Counts

2 → 6

Calls

2 calls:

239.0ms	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
224.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

simplify810.0ms

Counts

101 → 101

Iterations

Useful iterations: done (807.0ms)

Iter	Nodes	Cost
0	221	2097
1	516	1968
2	1637	1820
done	5001	1763

prune194.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.9b

regimes61.0ms

Accuracy

42.8% (1.2b remaining)

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

bsearch26.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.018204597656249998

simplify3.0ms

Iterations

Useful iterations: done (3.0ms)

Iter	Nodes	Cost
0	22	39
1	25	39
done	25	37

end0.0ms

sample936.0ms

Algorithm

intervals

Results

474.0ms	4032×	pre	10240	exit
183.0ms	8000×	body	80	valid
80.0ms	3968×	pre	80	true