Details

sample108.0ms

Algorithm

intervals

Results

31.0ms	40×	body	640	valid
19.0ms	204×	body	80	valid
18.0ms	23×	body	1280	valid
6.0ms	90×	body	80	nan
6.0ms	16×	body	320	valid
2.0ms	8×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	55	11
4	154	11
5	508	11
6	2085	11
done	5001	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
0.0b	(/ y (+ z y))
8.4b	(pow (/ y (+ z y)) y)

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
8×	`add-exp-log` `distribute-lft-out`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `pow-unpow` `fma-def` `flip3-+` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`div-exp` `pow-exp` `div-inv`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sum-log` `sqr-pow`

Counts

3 → 87

Calls

3 calls:

103.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
17.0ms	(/ y (+ z y))
24.0ms	(pow (/ y (+ z y)) y)

series434.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
54.0ms	(/ y (+ z y))
291.0ms	(pow (/ y (+ z y)) y)

simplify1.1s

Counts

96 → 96

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	164	1143
1	514	1072
2	1929	1019
done	5000	1018

prune375.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
0.8b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.8b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
53×	`cbrt-prod`
52×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
18×	`cbrt-div`
10×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
7×	`pow-exp`
6×	`pow1` `pow-unpow`
5×	`div-exp`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 130

Calls

4 calls:

4.0ms	(cbrt (+ z y))
4.0ms	(cbrt (+ z y))
29.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
48.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.0s

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (+ z y))
200.0ms	(cbrt (+ z y))
300.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
331.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify2.1s

Counts

142 → 142

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	314	2587
1	1017	2403
2	3395	2260
done	5000	2204

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
0.8b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.5b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite95.0ms

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×	`expm1-log1p-u` `flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `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 → 158

Calls

4 calls:

9.0ms	(cbrt (+ z y))
10.0ms	(cbrt (+ z y))
40.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
19.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series886.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (+ z y))
176.0ms	(cbrt (+ z y))
388.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
106.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.8s

Counts

170 → 170

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	293	2735
1	845	2548
2	2726	2468
done	5004	2460

prune942.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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` `associate-/l/`
1×	`pow1` `cbrt-undiv` `neg-sub0` `exp-neg` `expm1-log1p-u` `frac-2neg` `exp-diff` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

13.0ms

(/ (exp (- z)) y)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(/ (exp (- z)) y)

simplify2.6s

Counts

34 → 34

Iterations

Useful iterations: 3 (718.0ms)

Iter	Nodes	Cost
0	66	311
1	127	301
2	473	282
3	3407	278
done	5002	278

prune122.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	27
1	21	27
done	21	27

end0.0ms

sample3.7s

Algorithm

intervals

Results

776.0ms	2996×	body	80	nan
750.0ms	6506×	body	80	valid
641.0ms	762×	body	1280	valid
532.0ms	898×	body	640	valid
197.0ms	581×	body	320	valid
113.0ms	343×	body	160	valid