Details

sample95.0ms

Algorithm

intervals

Results

52.0ms	136×	pre	10240	exit
18.0ms	256×	body	80	valid
7.0ms	120×	pre	80	true

simplify23.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

23.0ms

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize8.0ms

Local error

Found 2 expressions with local error:

7.4b	(- (/ 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

51.0ms	(- (/ x0 (- 1 x1)) x0)
16.0ms	(/ x0 (- 1 x1))

series96.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

63.0ms	(- (/ x0 (- 1 x1)) x0)
34.0ms	(/ x0 (- 1 x1))

simplify14.9s

Counts

259 → 164

Calls

259 calls:

Slowest

569.0ms	(* (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (/ x0 (- 1 x1)))
463.0ms	(* (* (- (/ x0 (- 1 x1)) x0) (- (/ x0 (- 1 x1)) x0)) (- (/ x0 (- 1 x1)) x0))
385.0ms	(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
370.0ms	(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
350.0ms	(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.9b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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

17.0ms	(/ (cbrt x0) (- 1 x1))
1.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))

series248.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

125.0ms	(/ (cbrt x0) (- 1 x1))
123.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))

simplify5.7s

Counts

119 → 82

Calls

119 calls:

Slowest

559.0ms	(* (* (/ (cbrt x0) (- 1 x1)) (/ (cbrt x0) (- 1 x1))) (/ (cbrt x0) (- 1 x1)))
303.0ms	(* (* (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)))
300.0ms	(/ x0 (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
254.0ms	(exp (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0)))
231.0ms	(+ (* (pow x0 1/3) (pow x1 2)) (+ (* (pow x0 1/3) x1) (pow x0 1/3)))

prune640.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.9b

localize29.0ms

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))

series337.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

240.0ms	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))
97.0ms	(/ (sqrt x0) (- 1 (sqrt x1)))

simplify4.8s

Counts

158 → 103

Calls

158 calls:

Slowest

524.0ms	(* (* (/ (sqrt x0) (- 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1)))) (/ (sqrt x0) (- 1 (sqrt x1))))
354.0ms	(/ (sqrt x0) (- (pow 1 3) (pow (sqrt x1) 3)))
263.0ms	(* (* (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)))
167.0ms	(exp (fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0)))
148.0ms	(* (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))))

prune736.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.9b

localize41.0ms

Local error

Found 2 expressions with local error:

6.7b	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))
0.5b	(/ (cbrt x0) (- 1 (sqrt x1)))

rewrite23.0ms

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

20.0ms	(/ (cbrt x0) (- 1 (sqrt x1)))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))

series354.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

206.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))
147.0ms	(/ (cbrt x0) (- 1 (sqrt x1)))

simplify5.8s

Counts

158 → 103

Calls

158 calls:

Slowest

453.0ms	(* (* (/ (cbrt x0) (- 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1)))) (/ (cbrt x0) (- 1 (sqrt x1))))
352.0ms	(/ (cbrt x0) (- (pow 1 3) (pow (sqrt x1) 3)))
305.0ms	(* (* (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)))
265.0ms	(exp (fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0)))
253.0ms	(* (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))))

prune495.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.9b

regimes119.0ms

Accuracy

0% (2.1b remaining)

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

bsearch3.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.4s	3996×	pre	10240	exit
413.0ms	8000×	body	80	valid
172.0ms	4004×	pre	80	true