Details

sample511.0ms

Algorithm

intervals

Results

187.0ms	86×	body	2560	valid
125.0ms	55×	body	10240	exit
108.0ms	93×	body	1280	valid
33.0ms	42×	body	640	valid
15.0ms	15×	body	320	valid
13.0ms	311×	pre	80	true
3.0ms	17×	body	80	valid
1.0ms	3×	body	160	valid

simplify1.8s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.7b

localize26.0ms

Local error

Found 4 expressions with local error:

17.0b	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b)))) (expm1 (* eps a)))
15.1b	(/ eps (expm1 (* eps b)))
5.3b	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b))))
0.0b	(expm1 (* eps a))

rewrite28.0ms

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))))
11.0ms	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b)))) (expm1 (* eps a)))
4.0ms	(/ eps (expm1 (* eps b)))
0.0ms	(expm1 (* eps a))

series776.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

504.0ms	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b)))) (expm1 (* eps a)))
154.0ms	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps b))))
70.0ms	(/ eps (expm1 (* eps b)))
48.0ms	(expm1 (* eps a))

simplify586.0ms

Counts: 116 → 116

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

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

19.0ms

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

series18.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

18.0ms

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

simplify1.8s

Counts: 38 → 38

prune263.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

13.8b

(/ (+ a b) (* a b))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 28

Calls

1 calls:

Slowest

33.0ms

(/ (+ a b) (* a b))

series72.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

72.0ms

(/ (+ a b) (* a b))

simplify504.0ms

Counts: 31 → 31

prune233.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

17.0b	(/ (* (expm1 (* (+ a b) eps)) (/ (/ eps (* (cbrt (expm1 (* eps b))) (cbrt (expm1 (* eps b))))) (cbrt (expm1 (* eps b))))) (expm1 (* eps a)))
15.6b	(cbrt (expm1 (* eps b)))
15.6b	(cbrt (expm1 (* eps b)))
15.6b	(cbrt (expm1 (* eps b)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
19×	`add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `times-frac` `pow1/3`
1×	`clear-num` `frac-2neg` `associate-r/` `div-inv` `associate-/l` `associate-/l/`

Counts

4 → 73

Calls

4 calls:

Slowest

40.0ms	(/ (* (expm1 (* (+ a b) eps)) (/ (/ eps (* (cbrt (expm1 (* eps b))) (cbrt (expm1 (* eps b))))) (cbrt (expm1 (* eps b))))) (expm1 (* eps a)))
1.0ms	(cbrt (expm1 (* eps b)))
1.0ms	(cbrt (expm1 (* eps b)))
1.0ms	(cbrt (expm1 (* eps b)))

series988.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

661.0ms	(/ (* (expm1 (* (+ a b) eps)) (/ (/ eps (* (cbrt (expm1 (* eps b))) (cbrt (expm1 (* eps b))))) (cbrt (expm1 (* eps b))))) (expm1 (* eps a)))
116.0ms	(cbrt (expm1 (* eps b)))
111.0ms	(cbrt (expm1 (* eps b)))
100.0ms	(cbrt (expm1 (* eps b)))

simplify4.5s

Counts: 85 → 85

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes183.0ms

Accuracy

-19.3% (4.0b remaining)

Error of 4.0b against oracle of 0.0b and baseline of 3.3b

bsearch321.0ms

end0.0ms

sample19.9s

Algorithm

intervals

Results

6.6s	2514×	body	2560	valid
5.5s	3465×	body	1280	valid
4.8s	1986×	body	10240	exit
1.6s	1091×	body	640	valid
662.0ms	9988×	pre	80	true
238.0ms	353×	body	320	valid
79.0ms	445×	body	80	valid
49.0ms	134×	body	160	valid