Details

sample78.0ms

Algorithm

intervals

Results

19.0ms	196×	body	80	valid
18.0ms	44×	body	640	valid
16.0ms	25×	body	1280	valid
6.0ms	101×	body	80	nan
5.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify122.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (32.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	111	7
4	314	7
5	801	7
6	4217	6
7	5001	6

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

261×	`times-frac`
221×	`*-un-lft-identity`
198×	`log-prod`
149×	`add-sqr-sqrt`
147×	`add-cube-cbrt`
144×	`exp-sum`
90×	`distribute-rgt-in` `distribute-lft-in`
42×	`associate-/l*`
37×	`distribute-lft-out`
24×	`associate-/r/`
13×	`div-inv`
12×	`add-exp-log` `flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`pow1`
7×	`associate-/r*`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `associate-l`
2×	`cbrt-undiv` `frac-2neg` `rem-log-exp` `clear-num` `log-pow`
1×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 296

Calls

4 calls:

36.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
5.0ms	(/ y (+ z y))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
40.0ms	(/ y (+ z y))
78.0ms	(* y (log (/ y (+ z y))))
54.0ms	(log (/ y (+ z y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	836	3073
1	2886	2638
2	5002	2622

prune670.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.5b	(pow (* (cbrt (/ y (+ z y))) (cbrt (/ y (+ z y)))) y)
5.7b	(cbrt (/ y (+ z y)))
5.7b	(cbrt (/ y (+ z y)))
5.7b	(cbrt (/ y (+ z y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
47×	`*-un-lft-identity`
36×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`pow1`
9×	`pow-pow` `pow1/3` `distribute-lft-out`
7×	`add-exp-log`
6×	`associate-/r/`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `cbrt-div` `flip3-+` `flip-+` `div-inv`
2×	`pow-prod-down` `pow-exp` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `unpow-prod-down` `pow-plus` `prod-exp` `sqr-pow`

Counts

4 → 113

Calls

4 calls:

10.0ms	(pow (* (cbrt (/ y (+ z y))) (cbrt (/ y (+ z y)))) y)
4.0ms	(cbrt (/ y (+ z y)))
3.0ms	(cbrt (/ y (+ z y)))
7.0ms	(cbrt (/ y (+ z y)))

series657.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(pow (* (cbrt (/ y (+ z y))) (cbrt (/ y (+ z y)))) y)
124.0ms	(cbrt (/ y (+ z y)))
130.0ms	(cbrt (/ y (+ z y)))
126.0ms	(cbrt (/ y (+ z y)))

simplify182.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	284	839
1	1013	807
2	4590	790
3	5001	790

prune411.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

5.7b	(cbrt (/ y (+ z y)))
5.7b	(cbrt (/ y (+ z y)))
5.7b	(cbrt (/ y (+ z y)))
5.7b	(cbrt (/ y (+ z y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod`
60×	`*-un-lft-identity`
48×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
8×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 116

Calls

4 calls:

3.0ms	(cbrt (/ y (+ z y)))
3.0ms	(cbrt (/ y (+ z y)))
3.0ms	(cbrt (/ y (+ z y)))
3.0ms	(cbrt (/ y (+ z y)))

series518.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (/ y (+ z y)))
133.0ms	(cbrt (/ y (+ z y)))
124.0ms	(cbrt (/ y (+ z y)))
125.0ms	(cbrt (/ y (+ z y)))

simplify96.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 4 (39.0ms)

Iter	Nodes	Cost
0	130	844
1	237	816
2	511	808
3	1011	796
4	3832	788
5	5002	788

prune524.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes76.0ms

Accuracy

55.9% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.3b

bsearch50.0ms

Steps

Iters	Range		Point
9	5.087915826465227e-39	7.868972939251692e-32	7.754068639992549e-32

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

end0.0ms

sample2.1s

Algorithm

intervals

Results

522.0ms	6521×	body	80	valid
489.0ms	796×	body	1280	valid
390.0ms	984×	body	640	valid
179.0ms	3103×	body	80	nan
144.0ms	523×	body	320	valid
57.0ms	323×	body	160	valid