Details

sample55.0ms

Algorithm

intervals

Results

18.0ms	43×	body	1280	valid
11.0ms	45×	body	640	valid
7.0ms	171×	body	80	valid
3.0ms	22×	body	320	valid
3.0ms	84×	body	80	nan
2.0ms	18×	body	160	valid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (9.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	106	6
4	304	4
5	774	4
6	4142	4
7	5001	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* x (log (/ x (+ x y))))) x)
0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
10.2b	(log (/ x (+ x y)))

rewrite76.0ms

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×	`associate-r` `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 → 288

Calls

4 calls:

37.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
5.0ms	(/ x (+ x y))
11.0ms	(* x (log (/ x (+ x y))))
4.0ms	(log (/ x (+ x y)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
39.0ms	(/ x (+ x y))
82.0ms	(* x (log (/ x (+ x y))))
55.0ms	(log (/ x (+ x y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	824	3036
1	2835	2608
2	5002	2592

prune578.0ms

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 x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.3b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
13×	`log-prod`
12×	`cbrt-div`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `associate-/r/`
6×	`flip3-+` `flip-+`
5×	`pow1` `rem-log-exp`
4×	`frac-times` `div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `associate-l/`
1×	`log-div` `times-frac` `log-pow` `div-inv`

Counts

4 → 60

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
15.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

series647.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt x)
185.0ms	(cbrt x)
193.0ms	(cbrt x)
82.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	224	501
1	519	447
2	1484	415
3	5001	408

prune311.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
3.6b	(log (/ (cbrt x) (cbrt (+ x y))))
3.6b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
6.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
6.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt x)
187.0ms	(cbrt x)
76.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
78.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify83.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	311	1470
1	757	1424
2	2319	1392
3	5001	1324

prune566.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:

3.0ms

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

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify50.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	114	186
1	303	172
2	1465	170
3	5003	170

prune59.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes56.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 5.9b

bsearch99.0ms

Steps

Iters	Range		Point
8	0.01694346711308432	10.298044827647965	6.201226929160211
10	-48697182374164.98	-6.3299436832828755e-06	-45873.078033472484

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	24
1	32	24

end0.0ms

sample1.9s

Algorithm

intervals

Results

648.0ms	1524×	body	1280	valid
368.0ms	1475×	body	640	valid
290.0ms	2946×	body	80	nan
208.0ms	4876×	body	80	valid
135.0ms	841×	body	320	valid
53.0ms	464×	body	160	valid