Details

sample526.0ms

Algorithm

intervals

Results

193.0ms	85×	body	2560	valid
158.0ms	115×	body	1280	valid
103.0ms	57×	body	10240	exit
29.0ms	37×	body	640	valid
15.0ms	313×	pre	80	true
3.0ms	6×	body	320	valid
2.0ms	10×	body	80	valid
1.0ms	3×	body	160	valid

simplify2.5s

Counts: 1 → 1

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.8b

localize53.0ms

Local error

Found 4 expressions with local error:

29.5b	(* (/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a)))) eps)
14.1b	(/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a))))
0.1b	(* (expm1 (* eps b)) (expm1 (* eps a)))
0.0b	(expm1 (* (+ a b) eps))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

Slowest

28.0ms	(* (/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a)))) eps)
6.0ms	(/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a))))
6.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))
0.0ms	(expm1 (* (+ a b) eps))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

636.0ms	(* (/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a)))) eps)
581.0ms	(/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a))))
50.0ms	(expm1 (* (+ a b) eps))
45.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))

simplify3.9s

Counts: 100 → 100

prune1.3s

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))

rewrite21.0ms

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

20.0ms

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

series13.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

13.0ms

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

simplify997.0ms

Counts: 38 → 38

prune278.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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

17.0ms	(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
2.0ms	(cbrt (/ 1 a))
2.0ms	(cbrt (/ 1 a))
2.0ms	(cbrt (/ 1 a))

series946.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

269.0ms	(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
243.0ms	(cbrt (/ 1 a))
222.0ms	(cbrt (/ 1 a))
211.0ms	(cbrt (/ 1 a))

simplify1.8s

Counts: 177 → 177

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

29.5b	(* (/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b))) eps)
10.7b	(/ (expm1 (* (+ b a) eps)) (expm1 (* eps a)))
0.6b	(/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b)))
0.0b	(expm1 (* (+ b a) eps))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 185

Calls

4 calls:

Slowest

15.0ms	(* (/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b))) eps)
11.0ms	(/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b)))
4.0ms	(/ (expm1 (* (+ b a) eps)) (expm1 (* eps a)))
1.0ms	(expm1 (* (+ b a) eps))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

629.0ms	(* (/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b))) eps)
585.0ms	(/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b)))
101.0ms	(/ (expm1 (* (+ b a) eps)) (expm1 (* eps a)))
50.0ms	(expm1 (* (+ b a) eps))

simplify800.0ms

Counts: 197 → 197

prune2.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

end0.0ms

sample19.0s

Algorithm

intervals

Results

7.2s	2586×	body	2560	valid
5.3s	3424×	body	1280	valid
4.1s	1940×	body	10240	exit
1.0s	1014×	body	640	valid
546.0ms	9943×	pre	80	true
294.0ms	386×	body	320	valid
116.0ms	453×	body	80	valid
57.0ms	140×	body	160	valid