Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

56.0ms

(/ (+ x y) (- x y))

series97.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

(/ (+ x y) (- x y))

simplify3.1s

Counts

50 → 50

Iterations

Useful iterations: 3 (330.0ms)

Iter	Nodes	Cost
0	78	606
1	175	582
2	454	554
3	1120	547
4	3134	547
done	5002	547

prune98.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(cbrt (pow (/ (+ x y) (- x y)) 3))
0.0b	(pow (/ (+ x y) (- x y)) 3)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 191

Calls

3 calls:

26.0ms	(/ (+ x y) (- x y))
23.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
45.0ms	(pow (/ (+ x y) (- x y)) 3)

series283.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ (+ x y) (- x y))
100.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
107.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify1.3s

Counts

200 → 200

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	181	3402
1	490	2822
2	1541	2604
done	5000	2574

prune431.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (expm1 (/ (+ x y) (- x y))))
0.0b	(/ (+ x y) (- x y))
0.5b	(expm1 (/ (+ x y) (- x y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
4×	`log1p-expm1-u` `associate-/l*`
3×	`pow1` `expm1-log1p-u` `add-log-exp`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `flip3-+` `log1p-expm1` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `expm1-udef`

Counts

3 → 69

Calls

3 calls:

0.0ms	(log1p (expm1 (/ (+ x y) (- x y))))
46.0ms	(/ (+ x y) (- x y))
1.0ms	(expm1 (/ (+ x y) (- x y)))

series394.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(log1p (expm1 (/ (+ x y) (- x y))))
106.0ms	(/ (+ x y) (- x y))
135.0ms	(expm1 (/ (+ x y) (- x y)))

simplify2.9s

Counts

78 → 78

Iterations

Useful iterations: 3 (369.0ms)

Iter	Nodes	Cost
0	101	865
1	205	813
2	493	755
3	1166	748
4	3170	748
done	5002	748

prune246.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (expm1 (/ (+ x y) (- x y))))
0.0b	(/ (+ x y) (- x y))
0.5b	(expm1 (/ (+ x y) (- x y)))
0.5b	(log (exp (expm1 (/ (+ x y) (- x y)))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
20×	`times-frac`
18×	`add-cube-cbrt`
6×	`add-exp-log` `exp-prod` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `associate-/r*` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `log-pow` `associate-/l*`
3×	`log-prod` `expm1-udef`
2×	`exp-diff` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `log-div` `expm1-log1p` `flip3--` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip--` `flip-+` `div-inv` `rem-exp-log`

Counts

4 → 90

Calls

4 calls:

4.0ms	(exp (expm1 (/ (+ x y) (- x y))))
44.0ms	(/ (+ x y) (- x y))
0.0ms	(expm1 (/ (+ x y) (- x y)))
3.0ms	(log (exp (expm1 (/ (+ x y) (- x y)))))

series804.0ms

Counts

4 → 12

Calls

4 calls:

414.0ms	(exp (expm1 (/ (+ x y) (- x y))))
102.0ms	(/ (+ x y) (- x y))
115.0ms	(expm1 (/ (+ x y) (- x y)))
173.0ms	(log (exp (expm1 (/ (+ x y) (- x y)))))

simplify2.7s

Counts

102 → 102

Iterations

Useful iterations: 3 (326.0ms)

Iter	Nodes	Cost
0	123	1175
1	235	1097
2	533	1011
3	1221	1004
4	3268	1004
done	5000	1004

prune319.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
done	9	10

end0.0ms

sample621.0ms

Algorithm

intervals

Results

272.0ms

8000×

body

valid