Details

sample548.0ms

Algorithm

intervals

Results

178.0ms	74×	body	10240	exit
153.0ms	86×	body	2560	valid
142.0ms	112×	body	1280	valid
27.0ms	38×	body	640	valid
15.0ms	330×	pre	80	true
3.0ms	6×	body	320	valid
2.0ms	11×	body	80	valid
1.0ms	3×	body	160	valid

simplify1.6s

Counts: 1 → 1

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.8b

localize40.0ms

Local error

Found 4 expressions with local error:

16.6b	(/ eps (expm1 (* eps b)))
16.2b	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b)))) (expm1 (* eps a)))
6.7b	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b))))
0.0b	(* (+ a b) eps)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`times-frac` `add-cbrt-cube` `add-exp-log`
16×	`associate-r`
8×	`pow1`
7×	`associate-l`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`
1×	`flip3-+` `flip-+` `distribute-lft-out` `associate-/l/`

Counts

4 → 116

Calls

4 calls:

Slowest

29.0ms	(* (+ a b) eps)
18.0ms	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b))))
11.0ms	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b)))) (expm1 (* eps a)))
4.0ms	(/ eps (expm1 (* eps b)))

series864.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

595.0ms	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b)))) (expm1 (* eps a)))
186.0ms	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b))))
57.0ms	(/ eps (expm1 (* eps b)))
25.0ms	(* (+ a b) eps)

simplify520.0ms

Counts: 143 → 128

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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

10.0ms

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

series13.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

13.0ms

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

simplify279.0ms

Counts: 27 → 38

prune304.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

16.1b	(/ (* (expm1 (* (+ a b) eps)) (+ (* eps -1/2) (fma (* (* eps eps) b) 1/12 (/ 1 b)))) (expm1 (* eps a)))
6.5b	(* (expm1 (* (+ a b) eps)) (+ (* eps -1/2) (fma (* (* eps eps) b) 1/12 (/ 1 b))))
4.6b	(* (* eps eps) b)
0.1b	(fma (* (* eps eps) b) 1/12 (/ 1 b))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
11×	`pow1`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `times-frac`
2×	`cbrt-undiv` `flip3-+` `div-exp` `*-commutative` `flip-+` `unswap-sqr` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `fma-udef` `div-inv` `associate-/l*`

Counts

4 → 84

Calls

4 calls:

Slowest

22.0ms	(* (* eps eps) b)
20.0ms	(* (expm1 (* (+ a b) eps)) (+ (* eps -1/2) (fma (* (* eps eps) b) 1/12 (/ 1 b))))
17.0ms	(/ (* (expm1 (* (+ a b) eps)) (+ (* eps -1/2) (fma (* (* eps eps) b) 1/12 (/ 1 b)))) (expm1 (* eps a)))
0.0ms	(fma (* (* eps eps) b) 1/12 (/ 1 b))

series615.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

328.0ms	(/ (* (expm1 (* (+ a b) eps)) (+ (* eps -1/2) (fma (* (* eps eps) b) 1/12 (/ 1 b)))) (expm1 (* eps a)))
226.0ms	(* (expm1 (* (+ a b) eps)) (+ (* eps -1/2) (fma (* (* eps eps) b) 1/12 (/ 1 b))))
40.0ms	(fma (* (* eps eps) b) 1/12 (/ 1 b))
22.0ms	(* (* eps eps) b)

simplify816.0ms

Counts: 102 → 96

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

16.6b	(/ eps (expm1 (* eps b)))
16.1b	(/ (expm1 (* eps a)) (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b)))))
6.7b	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b))))
0.0b	(* (+ a b) eps)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

Slowest

29.0ms	(* (+ a b) eps)
17.0ms	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b))))
16.0ms	(/ (expm1 (* eps a)) (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b)))))
9.0ms	(/ eps (expm1 (* eps b)))

series492.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

247.0ms	(/ (expm1 (* eps a)) (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b)))))
160.0ms	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b))))
58.0ms	(/ eps (expm1 (* eps b)))
27.0ms	(* (+ a b) eps)

simplify675.0ms

Counts: 145 → 129

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

end0.0ms

sample18.5s

Algorithm

intervals

Results

6.0s	2573×	body	2560	valid
5.7s	3444×	body	1280	valid
4.6s	1991×	body	10240	exit
934.0ms	1020×	body	640	valid
555.0ms	9995×	pre	80	true
194.0ms	347×	body	320	valid
113.0ms	475×	body	80	valid
54.0ms	145×	body	160	valid