Details

sample107.0ms

Algorithm

intervals

Results

23.0ms	208×	body	80	valid
22.0ms	26×	body	1280	valid
19.0ms	35×	body	640	valid
18.0ms	88×	body	80	nan
7.0ms	17×	body	320	valid
2.0ms	9×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	2018
6	565
5	220
4	94
3	44
2	25
1	18
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
9.1b	(log (/ y (+ z y)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

261×	`times-frac`
221×	`*-un-lft-identity`
198×	`log-prod`
149×	`add-sqr-sqrt`
147×	`add-cube-cbrt`
144×	`exp-sum`
90×	`distribute-rgt-in` `distribute-lft-in`
42×	`associate-/l*`
37×	`distribute-lft-out`
24×	`associate-/r/`
13×	`div-inv`
12×	`flip3-+` `add-exp-log` `flip-+`
10×	`add-cbrt-cube`
8×	`pow1`
7×	`associate-/r*`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `associate-l`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `rem-log-exp` `log-pow`
1×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 300

Calls

4 calls:

43.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
8.0ms	(/ y (+ z y))
14.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
45.0ms	(/ y (+ z y))
117.0ms	(* y (log (/ y (+ z y))))
78.0ms	(log (/ y (+ z y)))

simplify1.6s

Counts

312 → 312

Iterations

Iter	Nodes
done	5003
2	2030
1	893
0	482

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (exp 0) y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

11.0ms

(+ x (/ (exp 0) y))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(+ x (/ (exp 0) y))

simplify1.9s

Counts

21 → 21

Iterations

Iter	Nodes
done	5004
3	1524
2	325
1	86
0	33

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (* y (log (/ y (+ z y))))) (/ 1 y))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
9.1b	(log (/ y (+ z y)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-sqr-sqrt` `*-un-lft-identity`
102×	`log-prod`
97×	`times-frac`
63×	`add-cube-cbrt`
48×	`exp-sum`
42×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
19×	`distribute-lft-out`
17×	`associate-r`
16×	`add-exp-log` `unswap-sqr`
13×	`add-cbrt-cube`
12×	`associate-/r/`
10×	`pow1`
7×	`div-inv`
6×	`flip3-+` `flip-+`
5×	`prod-exp`
4×	`expm1-log1p-u` `associate-/r*` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `rem-log-exp` `pow-prod-down` `log-pow` `*-commutative`
1×	`log-div` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-*r/` `un-div-inv`

Counts

4 → 213

Calls

4 calls:

53.0ms	(* (exp (* y (log (/ y (+ z y))))) (/ 1 y))
8.0ms	(/ y (+ z y))
14.0ms	(* y (log (/ y (+ z y))))
7.0ms	(log (/ y (+ z y)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (exp (* y (log (/ y (+ z y))))) (/ 1 y))
66.0ms	(/ y (+ z y))
111.0ms	(* y (log (/ y (+ z y))))
78.0ms	(log (/ y (+ z y)))

simplify1.8s

Counts

225 → 225

Iterations

Iter	Nodes
done	5001
2	1859
1	765
0	323

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.2b	(log (/ (cbrt y) (cbrt (+ z y))))
4.9b	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

61×	`log-prod`
51×	`cbrt-prod`
46×	`*-un-lft-identity`
43×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `rem-log-exp` `flip-+`
6×	`pow1` `distribute-lft-out`
5×	`div-exp`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `pow1/3` `associate-l/` `associate-r/` `log-pow` `div-inv`

Counts

4 → 120

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
22.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

series728.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt y)
209.0ms	(cbrt y)
98.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
123.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

simplify2.4s

Counts

132 → 132

Iterations

Iter	Nodes
done	5008
3	2736
2	922
1	477
0	238

prune992.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes184.0ms

Accuracy

62.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.4b

bsearch25.0ms

Steps

Iters	Range		Point
3	1.0845595806790033e-16	1.5374381544479147e-16	1.5075292783407231e-16

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.1s	6622×	body	80	valid
809.0ms	757×	body	1280	valid
760.0ms	917×	body	640	valid
368.0ms	3027×	body	80	nan
264.0ms	583×	body	320	valid
87.0ms	298×	body	160	valid