Details

sample498.0ms

Algorithm

intervals

Results

158.0ms	79×	body	2560	valid
148.0ms	115×	body	1280	valid
128.0ms	74×	body	10240	exit
25.0ms	37×	body	640	valid
13.0ms	330×	pre	80	true
5.0ms	10×	body	320	valid
1.0ms	5×	body	160	valid
1.0ms	10×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
5	3998
4	640
3	189
2	78
1	44
0	17

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* (+ a b) eps))
5.4b	(* (/ eps (expm1 (* eps b))) (expm1 (* (+ a b) eps)))
13.9b	(/ eps (expm1 (* eps b)))
17.6b	(/ (* (/ eps (expm1 (* eps b))) (expm1 (* (+ a b) eps))) (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-l`
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-r` `div-inv`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`expm1-log1p` `pow-prod-down` `*-commutative` `expm1-udef` `associate-/l/`

Counts

4 → 104

Calls

4 calls:

0.0ms	(expm1 (* (+ a b) eps))
10.0ms	(* (/ eps (expm1 (* eps b))) (expm1 (* (+ a b) eps)))
4.0ms	(/ eps (expm1 (* eps b)))
13.0ms	(/ (* (/ eps (expm1 (* eps b))) (expm1 (* (+ a b) eps))) (expm1 (* eps a)))

series536.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(expm1 (* (+ a b) eps))
162.0ms	(* (/ eps (expm1 (* eps b))) (expm1 (* (+ a b) eps)))
68.0ms	(/ eps (expm1 (* eps b)))
229.0ms	(/ (* (/ eps (expm1 (* eps b))) (expm1 (* (+ a b) eps))) (expm1 (* eps a)))

simplify9.7s

Counts

116 → 116

Iterations

Iter	Nodes
3	7238
2	1551
1	416
0	173

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:

14.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify1.2s

Counts

38 → 38

Iterations

Iter	Nodes
4	2780
3	1109
2	412
1	107
0	43

prune277.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

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:

3.0ms	(cbrt (/ 1 b))
2.0ms	(cbrt (/ 1 b))
1.0ms	(cbrt (/ 1 b))
11.0ms	(* (cbrt (/ 1 b)) (cbrt (/ 1 b)))

series1.5s

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt (/ 1 b))
283.0ms	(cbrt (/ 1 b))
273.0ms	(cbrt (/ 1 b))
715.0ms	(* (cbrt (/ 1 b)) (cbrt (/ 1 b)))

simplify2.1s

Counts

177 → 177

Iterations

Iter	Nodes
4	4097
3	1209
2	487
1	247
0	145

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 b))
0.6b	(cbrt (cbrt (/ 1 b)))
0.6b	(cbrt (cbrt (/ 1 b)))
0.6b	(cbrt (cbrt (/ 1 b)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
36×	`times-frac`
35×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 109

Calls

4 calls:

3.0ms	(cbrt (/ 1 b))
3.0ms	(cbrt (cbrt (/ 1 b)))
3.0ms	(cbrt (cbrt (/ 1 b)))
3.0ms	(cbrt (cbrt (/ 1 b)))

series1.3s

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt (/ 1 b))
364.0ms	(cbrt (cbrt (/ 1 b)))
307.0ms	(cbrt (cbrt (/ 1 b)))
293.0ms	(cbrt (cbrt (/ 1 b)))

simplify2.3s

Counts

121 → 121

Iterations

Iter	Nodes
5	5287
4	1430
3	558
2	252
1	144
0	99

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes213.0ms

Accuracy

0% (3.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	7
1	7
0	6

end0.0ms

sample19.7s

Algorithm

intervals

Results

6.5s	2655×	body	2560	valid
5.6s	3372×	body	1280	valid
4.8s	1955×	body	10240	exit
1.1s	1043×	body	640	valid
649.0ms	344×	body	320	valid
563.0ms	9958×	pre	80	true
85.0ms	466×	body	80	valid
48.0ms	123×	body	160	valid