Details

sample85.0ms

Algorithm

intervals

Results

20.0ms	32×	body	1280	valid
15.0ms	197×	body	80	valid
13.0ms	34×	body	640	valid
6.0ms	21×	body	320	valid
5.0ms	77×	body	80	nan
1.0ms	8×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
8.9b	(log (/ y (+ z y)))

rewrite148.0ms

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:

10.0ms	(/ y (+ z y))
111.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
17.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ y (+ z y))
139.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
115.0ms	(* y (log (/ y (+ z y))))
60.0ms	(log (/ y (+ z y)))

simplify693.0ms

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	1338
1	465
0	207

prune881.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.5b	(log (/ (cbrt y) (cbrt (+ z y))))
2.5b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite27.0ms

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

series733.0ms

Counts

4 → 12

Calls

4 calls:

293.0ms	(cbrt y)
236.0ms	(cbrt y)
116.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
89.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.3s

Counts

160 → 160

Iterations

Iter	Nodes
done	5000
3	3185
2	799
1	325
0	177

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (pow (/ y (+ z y)) y) y)))
6.7b	(pow (/ y (+ z y)) y)
6.7b	(pow (/ y (+ z y)) y)
6.7b	(pow (/ y (+ z y)) y)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

54×	`unpow-prod-down`
52×	`*-un-lft-identity`
36×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
10×	`distribute-lft-out`
9×	`pow-unpow`
7×	`pow1`
6×	`pow-exp` `associate-/r/`
4×	`cbrt-prod` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-exp` `div-inv` `sqr-pow`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 121

Calls

4 calls:

50.0ms	(cbrt (+ x (/ (pow (/ y (+ z y)) y) y)))
11.0ms	(pow (/ y (+ z y)) y)
11.0ms	(pow (/ y (+ z y)) y)
11.0ms	(pow (/ y (+ z y)) y)

series1.4s

Counts

4 → 12

Calls

4 calls:

376.0ms	(cbrt (+ x (/ (pow (/ y (+ z y)) y) y)))
315.0ms	(pow (/ y (+ z y)) y)
328.0ms	(pow (/ y (+ z y)) y)
346.0ms	(pow (/ y (+ z y)) y)

simplify849.0ms

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	1819
1	537
0	180

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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:

23.0ms	(+ x (/ (exp (- z)) y))
20.0ms	(/ (exp (- z)) y)

series67.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ x (/ (exp (- z)) y))
27.0ms	(/ (exp (- z)) y)

simplify928.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	747
1	200
0	89

prune263.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	16

end0.0ms

sample3.1s

Algorithm

intervals

Results

789.0ms	6430×	body	80	valid
706.0ms	785×	body	1280	valid
515.0ms	973×	body	640	valid
234.0ms	2942×	body	80	nan
182.0ms	571×	body	320	valid
61.0ms	317×	body	160	valid