Details

sample62.0ms

Algorithm

intervals

Results

16.0ms	31×	body	1280	valid
14.0ms	210×	body	80	valid
10.0ms	33×	body	640	valid
4.0ms	95×	body	80	nan
2.0ms	12×	body	320	valid
1.0ms	10×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	2094
5	507
4	152
3	54
2	27
1	18
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
7.6b	(log (/ y (+ z y)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube` `associate-/r/`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-/r` `associate-r*` `log1p-expm1-u` `div-inv`
3×	`fma-def` `associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

76.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
10.0ms	(/ y (+ z y))
17.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
51.0ms	(/ y (+ z y))
98.0ms	(* y (log (/ y (+ z y))))
70.0ms	(log (/ y (+ z y)))

simplify682.0ms

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
2	1335
1	465
0	207

prune851.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
3.0b	(log (/ (cbrt y) (cbrt (+ y z))))
3.0b	(log (/ (cbrt y) (cbrt (+ y z))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `rem-log-exp` `associate-/r/` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 148

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(log (/ (cbrt y) (cbrt (+ y z))))
7.0ms	(log (/ (cbrt y) (cbrt (+ y z))))

series851.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt y)
289.0ms	(cbrt y)
134.0ms	(log (/ (cbrt y) (cbrt (+ y z))))
133.0ms	(log (/ (cbrt y) (cbrt (+ y z))))

simplify1.3s

Counts

160 → 160

Iterations

Iter	Nodes
done	5001
3	3163
2	799
1	325
0	177

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (exp (- z)) y))
0.0b	(/ (exp (- z)) y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `fma-def` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `associate-/l/`
1×	`neg-sub0` `exp-neg` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 48

Calls

2 calls:

11.0ms	(+ x (/ (exp (- z)) y))
13.0ms	(/ (exp (- z)) y)

series47.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ x (/ (exp (- z)) y))
22.0ms	(/ (exp (- z)) y)

simplify563.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	747
1	200
0	89

prune267.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (- z)) y)
0.2b	(* (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)))
0.3b	(sqrt (/ (exp (- z)) y))
0.3b	(sqrt (/ (exp (- z)) y))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt` `sqrt-prod`
71×	`times-frac`
58×	`*-un-lft-identity` `add-cube-cbrt`
21×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-cbrt-cube`
7×	`add-exp-log` `div-inv`
6×	`sqrt-div`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `pow-sqr` `associate-/l`
2×	`associate-/l/`
1×	`pow2` `neg-sub0` `exp-neg` `frac-times` `cbrt-undiv` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `exp-diff` `sqrt-unprod` `div-exp` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 174

Calls

4 calls:

15.0ms	(/ (exp (- z)) y)
87.0ms	(* (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)))
11.0ms	(sqrt (/ (exp (- z)) y))
7.0ms	(sqrt (/ (exp (- z)) y))

series252.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (exp (- z)) y)
56.0ms	(* (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)))
78.0ms	(sqrt (/ (exp (- z)) y))
83.0ms	(sqrt (/ (exp (- z)) y))

simplify1.3s

Counts

186 → 186

Iterations

Iter	Nodes
done	5000
2	2714
1	465
0	215

prune875.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	16

end0.0ms

sample2.7s

Algorithm

intervals

Results

929.0ms	742×	body	1280	valid
590.0ms	6571×	body	80	valid
368.0ms	943×	body	640	valid
258.0ms	3033×	body	80	nan
142.0ms	550×	body	320	valid
54.0ms	338×	body	160	valid