Details

sample85.0ms

Algorithm

intervals

Results

49.0ms	126×	pre	10240	exit
16.0ms	256×	body	80	valid
6.0ms	130×	pre	80	true

simplify22.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

22.0ms

(- (/ x0 (- 1 x1)) x0)

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize18.0ms

Local error

Found 2 expressions with local error:

7.1b	(- (/ x0 (- 1 x1)) x0)
0.7b	(/ x0 (- 1 x1))

rewrite77.0ms

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

55.0ms	(- (/ x0 (- 1 x1)) x0)
16.0ms	(/ x0 (- 1 x1))

series90.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

47.0ms	(/ x0 (- 1 x1))
43.0ms	(- (/ x0 (- 1 x1)) x0)

simplify14.7s

Counts

259 → 164

Calls

259 calls:

Slowest

554.0ms	(* (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (/ x0 (- 1 x1)))
424.0ms	(* (* (- (/ x0 (- 1 x1)) x0) (- (/ x0 (- 1 x1)) x0)) (- (/ x0 (- 1 x1)) x0))
360.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
342.0ms	(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
338.0ms	(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))

prune889.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.6b

localize26.0ms

Local error

Found 2 expressions with local error:

6.0b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))
0.3b	(/ (cbrt x0) (- 1 x1))

rewrite11.0ms

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))

series227.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

128.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))
99.0ms	(/ (cbrt x0) (- 1 x1))

simplify5.6s

Counts

119 → 82

Calls

119 calls:

Slowest

543.0ms	(* (* (/ (cbrt x0) (- 1 x1)) (/ (cbrt x0) (- 1 x1))) (/ (cbrt x0) (- 1 x1)))
371.0ms	(* (* (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0)) (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))) (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0)))
228.0ms	(exp (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0)))
224.0ms	(/ x0 (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
200.0ms	(sqrt (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0)))

prune574.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.6b

localize40.0ms

Local error

Found 2 expressions with local error:

6.1b	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))
0.3b	(/ (sqrt x0) (- 1 (sqrt x1)))

rewrite25.0ms

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

22.0ms	(/ (sqrt x0) (- 1 (sqrt x1)))
1.0ms	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))

series347.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

249.0ms	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))
98.0ms	(/ (sqrt x0) (- 1 (sqrt x1)))

simplify5.9s

Counts

158 → 103

Calls

158 calls:

Slowest

513.0ms	(* (* (/ (sqrt x0) (- 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1)))) (/ (sqrt x0) (- 1 (sqrt x1))))
466.0ms	(/ (* (* (sqrt x0) (sqrt x0)) (sqrt x0)) (* (* (- 1 (sqrt x1)) (- 1 (sqrt x1))) (- 1 (sqrt x1))))
386.0ms	(/ (sqrt x0) (- (pow 1 3) (pow (sqrt x1) 3)))
289.0ms	(* (* (fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0)) (fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))) (fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0)))
146.0ms	(exp (fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0)))

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.6b

localize35.0ms

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)))

rewrite18.0ms

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

15.0ms	(/ (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

165.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))
138.0ms	(/ (cbrt x0) (- 1 (sqrt x1)))

simplify5.8s

Counts

158 → 103

Calls

158 calls:

Slowest

457.0ms	(* (* (/ (cbrt x0) (- 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1)))) (/ (cbrt x0) (- 1 (sqrt x1))))
318.0ms	(* (* (fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0)) (fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))) (fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0)))
316.0ms	(* (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))))
304.0ms	(/ (cbrt x0) (- (pow 1 3) (pow (sqrt x1) 3)))
296.0ms	(exp (fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0)))

prune444.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.6b

regimes92.0ms

Accuracy

0% (2.0b remaining)

Error of 7.0b against oracle of 4.9b and baseline of 7.0b

bsearch3.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s	4007×	pre	10240	exit
368.0ms	8000×	body	80	valid
148.0ms	3993×	pre	80	true