Details

sample553.0ms

Algorithm

intervals

Results

183.0ms	74×	body	2560	valid
181.0ms	115×	body	1280	valid
107.0ms	56×	body	10240	exit
30.0ms	35×	body	640	valid
14.0ms	312×	pre	80	true
9.0ms	15×	body	320	valid
4.0ms	10×	body	160	valid
1.0ms	7×	body	80	valid

simplify1.9s

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.0b

localize32.0ms

Local error

Found 4 expressions with local error:

26.8b	(* (/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a)))) eps)
13.7b	(/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a))))
0.0b	(* (expm1 (* eps b)) (expm1 (* eps a)))
0.0b	(* (+ a b) eps)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`associate-l`
13×	`add-cube-cbrt`
10×	`pow1`
9×	`associate-r`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-l/` `-commutative` `associate-/l*` `unswap-sqr`
2×	`div-inv`
1×	`clear-num` `associate-/r*` `frac-2neg` `flip3-+` `div-sub` `flip-+` `distribute-lft-out` `expm1-udef`

Counts

4 → 100

Calls

4 calls:

Slowest

33.0ms	(* (+ a b) eps)
24.0ms	(* (/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a)))) eps)
14.0ms	(/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a))))
11.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

657.0ms	(/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a))))
604.0ms	(* (/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a)))) eps)
57.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))
39.0ms	(* (+ a b) eps)

simplify590.0ms

Counts: 112 → 112

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1 a) (/ 1 b))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
15×	`times-frac`
13×	`fma-def`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`distribute-lft-out`
5×	`div-inv`
3×	`add-log-exp`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`

Counts

1 → 35

Calls

1 calls:

Slowest

18.0ms

(+ (/ 1 a) (/ 1 b))

series26.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

26.0ms

(+ (/ 1 a) (/ 1 b))

simplify1.3s

Counts: 38 → 38

prune343.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (/ 1 a) (/ 1 b)))
0.5b	(cbrt (+ (/ 1 a) (/ 1 b)))
0.5b	(cbrt (+ (/ 1 a) (/ 1 b)))
0.5b	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity`
114×	`cbrt-prod`
81×	`distribute-lft-out`
60×	`div-inv`
42×	`times-frac`
37×	`add-sqr-sqrt`
33×	`cbrt-div` `swap-sqr`
29×	`add-cube-cbrt`
13×	`associate-r` `associate-l`
11×	`pow1` `flip3-+` `frac-add` `flip-+`
9×	`frac-times` `pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-l/` `associate-r/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 171

Calls

4 calls:

Slowest

105.0ms	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
10.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
7.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
7.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

156.0ms	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
128.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
124.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
120.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

simplify1.4s

Counts: 183 → 183

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))
0.6b	(cbrt (* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b)))))
0.5b	(cbrt (+ (/ 1 a) (/ 1 b)))
0.5b	(cbrt (+ (/ 1 a) (/ 1 b)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

51×	`cbrt-div`
44×	`cbrt-prod` `*-un-lft-identity`
21×	`distribute-lft-out`
18×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`div-inv`
11×	`flip3-+` `frac-add` `flip-+`
9×	`frac-times`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l/` `associate-r/`

Counts

4 → 102

Calls

4 calls:

Slowest

32.0ms	(cbrt (* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b)))))
13.0ms	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))
13.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
8.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

series664.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

263.0ms	(cbrt (* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b)))))
169.0ms	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))
120.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
111.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

simplify2.4s

Counts: 114 → 114

prune1.6s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes173.0ms

Accuracy

0% (3.6b remaining)

Error of 3.6b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

end0.0ms

sample17.9s

Algorithm

intervals

Results

6.3s	2641×	body	2560	valid
4.7s	2011×	body	10240	exit
4.6s	3420×	body	1280	valid
974.0ms	1022×	body	640	valid
579.0ms	10014×	pre	80	true
189.0ms	320×	body	320	valid
100.0ms	113×	body	160	valid
76.0ms	487×	body	80	valid