Details

sample118.0ms

Algorithm

intervals

Results

43.0ms	57×	body	1280	valid
22.0ms	48×	body	640	valid
13.0ms	161×	body	80	valid
8.0ms	27×	body	320	valid
6.0ms	103×	body	80	nan
2.0ms	15×	body	160	valid

simplify49.0ms

Counts: 1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
6.1b	(pow (/ x (+ x y)) x)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
7×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-/l*`
2×	`flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

2 → 66

Calls

2 calls:

23.0ms	(/ x (+ x y))
18.0ms	(pow (/ x (+ x y)) x)

series336.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ x (+ x y))
289.0ms	(pow (/ x (+ x y)) x)

simplify68.0ms

Counts: 72 → 72

prune190.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(* (cbrt x) (cbrt x))
1.0b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.2b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

65×	`cbrt-prod`
61×	`unpow-prod-down`
57×	`*-un-lft-identity`
51×	`add-sqr-sqrt`
43×	`add-cube-cbrt` `times-frac`
22×	`add-exp-log`
16×	`cbrt-div`
13×	`pow1`
10×	`associate-/r/`
8×	`flip3-+` `flip-+`
7×	`pow1/3` `pow-exp` `distribute-lft-out`
6×	`pow-unpow` `swap-sqr` `associate-r` `associate-l`
5×	`div-exp` `prod-exp`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `pow-pow` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `div-inv` `sqr-pow`
1×	`pow2` `pow-plus` `*-commutative` `cbrt-unprod`

Counts

4 → 148

Calls

4 calls:

5.0ms	(cbrt (+ x y))
15.0ms	(* (cbrt x) (cbrt x))
30.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
40.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series1.3s

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (+ x y))
318.0ms	(* (cbrt x) (cbrt x))
384.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
374.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify74.0ms

Counts: 160 → 160

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
1.0b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.8b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

98×	`cbrt-prod`
89×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down` `log-prod`
14×	`distribute-lft-out`
10×	`add-exp-log`
8×	`cbrt-div`
6×	`pow1`
4×	`flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `div-exp` `rem-log-exp` `pow-exp` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 150

Calls

4 calls:

8.0ms	(cbrt (+ x y))
9.0ms	(cbrt (+ x y))
38.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
13.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series884.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt (+ x y))
181.0ms	(cbrt (+ x y))
403.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
101.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify77.0ms

Counts: 162 → 162

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (* -1 y)) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `exp-neg` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

16.0ms

(/ (exp (* -1 y)) x)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(/ (exp (* -1 y)) x)

simplify125.0ms

Counts: 31 → 31

prune94.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes74.0ms

Accuracy

99.7% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 5.5b

bsearch163.0ms

Steps

Iters	Range		Point
9	2.9210494299769893e-08	3.811728419345326	3.548587978717038
10	-2.4955120319962723e+20	-128623.8930200133	-2375445713.2073126

simplify138.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.0s	1538×	body	1280	valid
969.0ms	4916×	body	80	valid
661.0ms	1492×	body	640	valid
304.0ms	805×	body	320	valid
192.0ms	2973×	body	80	nan
68.0ms	418×	body	160	valid