Details

sample518.0ms

Algorithm

intervals

Results

157.0ms	85×	body	2560	valid
142.0ms	68×	body	10240	exit
130.0ms	115×	body	1280	valid
47.0ms	32×	body	640	valid
13.0ms	324×	pre	80	true
5.0ms	10×	body	320	valid
2.0ms	7×	body	160	valid
1.0ms	7×	body	80	valid

simplify2.3s

Counts: 1 → 1

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.5b

localize57.0ms

Local error

Found 4 expressions with local error:

19.0b	(/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps a)) (/ (expm1 (* eps b)) eps)))
16.4b	(/ (expm1 (* eps b)) eps)
4.9b	(* (expm1 (* eps a)) (/ (expm1 (* eps b)) eps))
0.0b	(expm1 (* (+ a b) eps))

rewrite32.0ms

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` `div-exp` `associate-/l*`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `associate-/r*` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`associate-l` `div-inv` `expm1-udef`
2×	`clear-num` `frac-2neg` `div-sub` `associate-*r/` `unswap-sqr`
1×	`expm1-log1p` `pow-prod-down` `associate-/r/` `*-commutative`

Counts

4 → 106

Calls

4 calls:

Slowest

11.0ms	(/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps a)) (/ (expm1 (* eps b)) eps)))
9.0ms	(* (expm1 (* eps a)) (/ (expm1 (* eps b)) eps))
4.0ms	(/ (expm1 (* eps b)) eps)
0.0ms	(expm1 (* (+ a b) eps))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

901.0ms	(/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps a)) (/ (expm1 (* eps b)) eps)))
103.0ms	(* (expm1 (* eps a)) (/ (expm1 (* eps b)) eps))
63.0ms	(expm1 (* (+ a b) eps))
40.0ms	(/ (expm1 (* eps b)) eps)

simplify594.0ms

Counts: 118 → 118

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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))

series17.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

17.0ms

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

simplify2.0s

Counts: 38 → 38

prune422.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

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)))

rewrite37.0ms

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

22.0ms	(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
3.0ms	(cbrt (/ 1 a))
3.0ms	(cbrt (/ 1 a))
3.0ms	(cbrt (/ 1 a))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

354.0ms	(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
310.0ms	(cbrt (/ 1 a))
267.0ms	(cbrt (/ 1 a))
254.0ms	(cbrt (/ 1 a))

simplify740.0ms

Counts: 177 → 177

prune2.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-sqr-sqrt`
127×	`cbrt-prod`
101×	`times-frac`
67×	`*-un-lft-identity`
52×	`add-cube-cbrt`
40×	`associate-r`
28×	`unswap-sqr`
16×	`associate-l`
9×	`add-exp-log`
6×	`pow1`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `cbrt-div` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow1/3`
2×	`prod-exp` `cbrt-unprod`
1×	`frac-times` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 167

Calls

4 calls:

Slowest

26.0ms	(* (cbrt (/ 1 a)) (/ (cbrt 1) (cbrt a)))
3.0ms	(cbrt (/ 1 a))
3.0ms	(cbrt (/ 1 a))
1.0ms	(cbrt a)

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

323.0ms	(cbrt (/ 1 a))
302.0ms	(cbrt a)
274.0ms	(cbrt (/ 1 a))
258.0ms	(* (cbrt (/ 1 a)) (/ (cbrt 1) (cbrt a)))

simplify632.0ms

Counts: 179 → 179

prune3.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes248.0ms

Accuracy

0% (3.6b remaining)

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

bsearch2.0ms

end0.0ms

sample20.3s

Algorithm

intervals

Results

6.0s	2520×	body	2560	valid
5.8s	3506×	body	1280	valid
5.4s	1920×	body	10240	exit
1.4s	1011×	body	640	valid
685.0ms	347×	body	320	valid
494.0ms	9923×	pre	80	true
121.0ms	471×	body	80	valid
57.0ms	148×	body	160	valid