Details

sample77.0ms

Algorithm

intervals

Results

43.0ms	136×	pre	10240	exit
12.0ms	256×	body	80	valid
5.0ms	120×	pre	80	true

simplify16.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize17.0ms

Local error

Found 2 expressions with local error:

7.4b	(- (/ x0 (- 1 x1)) x0)
0.7b	(/ x0 (- 1 x1))

rewrite88.0ms

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

77.0ms	(- (/ x0 (- 1 x1)) x0)
8.0ms	(/ x0 (- 1 x1))

series68.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

37.0ms	(- (/ x0 (- 1 x1)) x0)
30.0ms	(/ x0 (- 1 x1))

simplify427.0ms

Counts: 259 → 164

prune596.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.9b

localize42.0ms

Local error

Found 4 expressions with local error:

60.1b	(fma (- (sqrt x0)) (sqrt x0) x0)
7.4b	(- (/ (* x0 (+ 1 x1)) (- 1 (* x1 x1))) x0)
0.5b	(* x0 (+ 1 x1))
0.3b	(/ (* x0 (+ 1 x1)) (- 1 (* x1 x1)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
33×	`prod-diff`
27×	`add-cube-cbrt`
25×	`times-frac`
13×	`difference-of-squares`
11×	`add-cbrt-cube` `fma-neg` `add-exp-log`
10×	`associate-/r/`
6×	`pow1` `flip3--` `flip--` `add-log-exp`
5×	`associate-/r*` `div-inv`
4×	`expm1-log1p-u` `associate-r` `associate-*r/` `insert-posit16` `log1p-expm1-u`
3×	`associate-l`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `-commutative` `fma-udef` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

Slowest

55.0ms	(- (/ (* x0 (+ 1 x1)) (- 1 (* x1 x1))) x0)
20.0ms	(/ (* x0 (+ 1 x1)) (- 1 (* x1 x1)))
13.0ms	(* x0 (+ 1 x1))
0.0ms	(fma (- (sqrt x0)) (sqrt x0) x0)

series306.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

110.0ms	(- (/ (* x0 (+ 1 x1)) (- 1 (* x1 x1))) x0)
98.0ms	(fma (- (sqrt x0)) (sqrt x0) x0)
62.0ms	(/ (* x0 (+ 1 x1)) (- 1 (* x1 x1)))
36.0ms	(* x0 (+ 1 x1))

simplify659.0ms

Counts: 186 → 142

prune940.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 3.4b

localize47.0ms

Local error

Found 2 expressions with local error:

60.1b	(fma (- (sqrt x0)) (sqrt x0) x0)
7.2b	(fma (/ x0 1) (/ (+ 1 x1) (- 1 (* x1 x1))) (- x0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 22

Calls

2 calls:

Slowest

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

series181.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

100.0ms	(fma (- (sqrt x0)) (sqrt x0) x0)
81.0ms	(fma (/ x0 1) (/ (+ 1 x1) (- 1 (* x1 x1))) (- x0))

simplify299.0ms

Counts: 28 → 28

prune215.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 3.4b

localize43.0ms

Local error

Found 4 expressions with local error:

60.1b	(fma (- (sqrt x0)) (sqrt x0) x0)
6.2b	(- (* (/ (* x0 (+ 1 x1)) (- 1 (* x1 x1))) (/ (* x0 (+ 1 x1)) (- 1 (* x1 x1)))) (* x0 x0))
0.8b	(+ (/ (* x0 (+ 1 x1)) (- 1 (* x1 x1))) x0)
0.5b	(* x0 (+ 1 x1))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `fma-def`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`times-frac`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `difference-of-squares`
2×	`flip3-+` `flip3--` `associate-*r/` `associate-/r/` `flip-+` `flip--` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

Slowest

55.0ms	(- (* (/ (* x0 (+ 1 x1)) (- 1 (* x1 x1))) (/ (* x0 (+ 1 x1)) (- 1 (* x1 x1)))) (* x0 x0))
27.0ms	(+ (/ (* x0 (+ 1 x1)) (- 1 (* x1 x1))) x0)
18.0ms	(* x0 (+ 1 x1))
0.0ms	(fma (- (sqrt x0)) (sqrt x0) x0)

series489.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

242.0ms	(- (* (/ (* x0 (+ 1 x1)) (- 1 (* x1 x1))) (/ (* x0 (+ 1 x1)) (- 1 (* x1 x1)))) (* x0 x0))
99.0ms	(fma (- (sqrt x0)) (sqrt x0) x0)
92.0ms	(+ (/ (* x0 (+ 1 x1)) (- 1 (* x1 x1))) x0)
57.0ms	(* x0 (+ 1 x1))

simplify457.0ms

Counts: 89 → 93

prune739.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 2.9b

regimes70.0ms

Accuracy

0% (2.2b remaining)

Error of 5.0b against oracle of 2.8b and baseline of 5.0b

bsearch4.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

974.0ms	3996×	pre	10240	exit
713.0ms	8000×	body	80	valid
159.0ms	4004×	pre	80	true