Details

sample58.0ms

Algorithm

intervals

Results

13.0ms	29×	body	1280	valid
12.0ms	204×	body	80	valid
7.0ms	30×	body	640	valid
4.0ms	117×	body	80	nan
3.0ms	20×	body	320	valid
1.0ms	12×	body	160	valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (30.0ms)

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: 4.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
7.2b	(log (/ y (+ z y)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
207×	`*-un-lft-identity`
198×	`log-prod`
144×	`exp-sum`
141×	`add-sqr-sqrt`
139×	`add-cube-cbrt`
90×	`distribute-rgt-in` `distribute-lft-in`
39×	`associate-/l*`
34×	`distribute-lft-out`
22×	`associate-/r/`
12×	`flip3-+` `flip-+` `div-inv`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`fma-def` `associate-l` `associate-/r*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 278

Calls

4 calls:

55.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
87.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
21.0ms	(* y (log (/ y (+ z y))))
7.0ms	(log (/ y (+ z y)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
75.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
76.0ms	(* y (log (/ y (+ z y))))
56.0ms	(log (/ y (+ z y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

290 → 290

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	868	3073
1	2712	2640
2	5002	2626

prune619.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
3.4b	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

51×	`cbrt-prod`
48×	`unpow-prod-down`
47×	`*-un-lft-identity`
43×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
13×	`log-prod`
10×	`associate-/r/`
7×	`flip3-+` `flip-+`
6×	`pow1` `distribute-lft-out`
5×	`div-exp` `rem-log-exp`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `associate-r/` `associate-l/` `pow-exp` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 120

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
21.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
20.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

series701.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt y)
173.0ms	(cbrt y)
267.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
87.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	605	1262
1	1937	1200
2	5001	1144

prune551.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
3.1b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
85×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down` `log-prod`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-div` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`flip3-+` `pow1/3` `div-exp` `rem-log-exp` `pow-exp` `flip-+` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 152

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
19.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
11.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series688.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt y)
172.0ms	(cbrt y)
264.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
78.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	611	1564
1	1934	1531
2	5001	1462

prune658.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
7.2b	(log (/ y (+ z y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`log-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`rem-log-exp` `associate-/r/`
1×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
7.0ms	(log (/ y (+ z y)))

series592.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt x)
182.0ms	(cbrt x)
178.0ms	(cbrt x)
49.0ms	(log (/ y (+ z y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 4 (67.0ms)

Iter	Nodes	Cost
0	199	335
1	408	313
2	949	300
3	2714	296
4	5001	295

prune276.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

-29.1% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.1b

bsearch58.0ms

Steps

Iters	Range		Point
1	3.908121802145179e+51	4.10142618791852e+51	3.9564478985885144e+51
8	0.3420744994426792	6031.575547282502	1609.5067484219232

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	22
1	45	22
2	45	22

end0.0ms

sample1.5s

Algorithm

intervals

Results

324.0ms	745×	body	1280	valid
306.0ms	6592×	body	80	valid
241.0ms	963×	body	640	valid
104.0ms	599×	body	320	valid
97.0ms	3038×	body	80	nan
33.0ms	320×	body	160	valid