Details

sample90.0ms

Algorithm

intervals

Results

33.0ms	59×	body	1280	valid
16.0ms	48×	body	640	valid
12.0ms	148×	body	80	valid
6.0ms	116×	body	80	nan
6.0ms	25×	body	320	valid
3.0ms	20×	body	160	valid

simplify137.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (14.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	108	6
4	310	4
5	792	4
6	4192	4
7	5002	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
5.3b	(pow (/ x (+ x y)) x)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 178

Calls

3 calls:

24.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
8.0ms	(pow (/ x (+ x y)) x)

series451.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(/ (pow (/ x (+ x y)) x) x)
58.0ms	(/ x (+ x y))
245.0ms	(pow (/ x (+ x y)) x)

simplify87.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	554	1456
1	2726	1426
2	5002	1426

prune459.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
1.6b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series724.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (+ x y))
146.0ms	(cbrt (+ x y))
140.0ms	(cbrt (+ x y))
297.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	419	794
1	1264	744
2	5001	724

prune362.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
3.5b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

56×	`cbrt-prod`
50×	`*-un-lft-identity`
48×	`log-prod`
42×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
7×	`add-exp-log`
6×	`cbrt-div`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`rem-log-exp` `associate-/r/`
1×	`log-div` `div-exp` `log-pow` `div-inv`

Counts

4 → 106

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
6.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series568.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt x)
148.0ms	(cbrt (+ x y))
141.0ms	(cbrt (+ x y))
82.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify155.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (144.0ms)

Iter	Nodes	Cost
0	370	937
1	1014	902
2	4230	882
3	5002	877

prune548.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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` `expm1-log1p-u` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

3.0ms

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

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

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

simplify62.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	118	194
1	313	179
2	1512	177
3	5001	177

prune73.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

95.9% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.0b

bsearch109.0ms

Steps

Iters	Range		Point
4	0.0007136761972236675	0.0012055448239290207	0.0010876143661975072
8	-1.528884305723504e+68	-9.680146267774824e+63	-5.86066198976175e+64

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	21
1	37	21

end0.0ms

sample2.5s

Algorithm

intervals

Results

845.0ms	1509×	body	1280	valid
520.0ms	1467×	body	640	valid
416.0ms	4956×	body	80	valid
190.0ms	769×	body	320	valid
172.0ms	3065×	body	80	nan
76.0ms	461×	body	160	valid