Details

sample53.0ms

Algorithm

intervals

Results

27.0ms	142×	pre	10240	exit
13.0ms	256×	body	80	valid
4.0ms	114×	pre	80	true

simplify16.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize17.0ms

Local error

Found 2 expressions with local error:

7.3b	(- (/ x0 (- 1 x1)) x0)
0.7b	(/ x0 (- 1 x1))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

130×	`add-sqr-sqrt`
127×	`*-un-lft-identity`
91×	`times-frac`
77×	`add-cube-cbrt`
72×	`prod-diff`
34×	`difference-of-squares`
24×	`fma-neg`
17×	`distribute-lft-out--`
10×	`associate-/r/`
6×	`associate-/r*` `flip3--` `flip--`
5×	`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 → 158

Calls

2 calls:

Slowest

84.0ms	(- (/ x0 (- 1 x1)) x0)
14.0ms	(/ x0 (- 1 x1))

series96.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

53.0ms	(- (/ x0 (- 1 x1)) x0)
43.0ms	(/ x0 (- 1 x1))

simplify1.1s

Counts: 164 → 164

prune962.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.8b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`times-frac`
23×	`add-cube-cbrt`
21×	`cbrt-prod`
14×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`associate-/r` `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 → 76

Calls

2 calls:

Slowest

9.0ms	(/ (cbrt x0) (- 1 x1))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))

series203.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

108.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))
95.0ms	(/ (cbrt x0) (- 1 x1))

simplify915.0ms

Counts: 82 → 82

prune468.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.8b

localize25.0ms

Local error

Found 2 expressions with local error:

6.5b	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))
0.2b	(/ (sqrt x0) (- 1 (sqrt x1)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
54×	`times-frac`
51×	`sqrt-prod`
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:

Slowest

11.0ms	(/ (sqrt x0) (- 1 (sqrt x1)))
0.0ms	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))

series272.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

194.0ms	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))
78.0ms	(/ (sqrt x0) (- 1 (sqrt x1)))

simplify587.0ms

Counts: 103 → 103

prune830.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.8b

localize23.0ms

Local error

Found 2 expressions with local error:

6.6b	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))
0.5b	(/ (cbrt x0) (- 1 (sqrt x1)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
54×	`times-frac`
30×	`cbrt-prod`
29×	`add-cube-cbrt`
28×	`difference-of-squares`
21×	`sqrt-prod`
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:

Slowest

16.0ms	(/ (cbrt x0) (- 1 (sqrt x1)))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))

series303.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

174.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))
129.0ms	(/ (cbrt x0) (- 1 (sqrt x1)))

simplify1.1s

Counts: 103 → 103

prune396.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.8b

regimes101.0ms

Accuracy

38.7% (1.3b remaining)

Error of 6.1b against oracle of 4.9b and baseline of 6.9b

bsearch33.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s	4047×	pre	10240	exit
326.0ms	8000×	body	80	valid
130.0ms	3953×	pre	80	true