Details

sample554.0ms

Algorithm

intervals

Results

184.0ms	100×	body	1280	valid
173.0ms	88×	body	2560	valid
111.0ms	55×	body	10240	exit
29.0ms	34×	body	640	valid
15.0ms	312×	pre	80	true
9.0ms	15×	body	320	valid
2.0ms	14×	body	80	valid
2.0ms	6×	body	160	valid

simplify1.7s

Counts: 1 → 1

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.9b

localize25.0ms

Local error

Found 4 expressions with local error:

16.4b	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b)))) (expm1 (* eps a)))
15.8b	(/ eps (expm1 (* eps b)))
7.0b	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b))))
0.1b	(expm1 (* (+ a b) eps))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
20×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
6×	`pow1` `cbrt-undiv` `associate-/r*` `div-exp`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`associate-l` `div-inv`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`expm1-log1p` `pow-prod-down` `*-commutative` `expm1-udef` `associate-/l/`

Counts

4 → 104

Calls

4 calls:

Slowest

12.0ms	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b)))) (expm1 (* eps a)))
9.0ms	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b))))
8.0ms	(/ eps (expm1 (* eps b)))
0.0ms	(expm1 (* (+ a b) eps))

series896.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

596.0ms	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b)))) (expm1 (* eps a)))
179.0ms	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b))))
75.0ms	(expm1 (* (+ a b) eps))
45.0ms	(/ eps (expm1 (* eps b)))

simplify3.0s

Counts: 116 → 116

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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

22.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

16.0ms

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

simplify1.7s

Counts: 38 → 38

prune335.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 165

Calls

4 calls:

Slowest

14.0ms	(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
2.0ms	(cbrt (/ 1 a))
2.0ms	(cbrt (/ 1 a))
1.0ms	(cbrt (/ 1 a))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

298.0ms	(cbrt (/ 1 a))
273.0ms	(cbrt (/ 1 a))
269.0ms	(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
253.0ms	(cbrt (/ 1 a))

simplify2.0s

Counts: 177 → 177

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-sqr-sqrt`
74×	`cbrt-prod`
71×	`times-frac`
53×	`*-un-lft-identity`
40×	`add-cube-cbrt`
22×	`associate-l`
20×	`unswap-sqr`
16×	`associate-r`
13×	`add-exp-log`
6×	`pow1` `add-cbrt-cube`
4×	`expm1-log1p-u` `cbrt-div` `prod-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow1/3`
2×	`div-exp` `cbrt-unprod`
1×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 143

Calls

4 calls:

Slowest

29.0ms	(* (/ 1 (cbrt a)) (cbrt (/ 1 a)))
3.0ms	(cbrt (/ 1 a))
3.0ms	(cbrt (/ 1 a))
1.0ms	(cbrt a)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

335.0ms	(cbrt (/ 1 a))
285.0ms	(cbrt (/ 1 a))
254.0ms	(cbrt a)
244.0ms	(* (/ 1 (cbrt a)) (cbrt (/ 1 a)))

simplify1.1s

Counts: 155 → 155

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

end0.0ms

sample19.3s

Algorithm

intervals

Results

6.1s	2633×	body	2560	valid
5.2s	3412×	body	1280	valid
4.9s	2023×	body	10240	exit
998.0ms	1084×	body	640	valid
628.0ms	323×	body	320	valid
543.0ms	10027×	pre	80	true
421.0ms	136×	body	160	valid
99.0ms	416×	body	80	valid