Details

sample54.0ms

Algorithm

intervals

Results

13.0ms	29×	body	1280	valid
9.0ms	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

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	109	7
4	307	7
5	777	7
6	4145	7
7	5002	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

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)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
206×	`*-un-lft-identity`
198×	`log-prod`
144×	`exp-sum`
140×	`add-sqr-sqrt`
138×	`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×	`associate-r`
3×	`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 → 267

Calls

4 calls:

54.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
83.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
24.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series352.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
75.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
82.0ms	(* y (log (/ y (+ z y))))
58.0ms	(log (/ y (+ z y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	852	3026
1	2649	2601
2	5002	2592

prune586.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.1b	(log (/ (cbrt y) (cbrt (+ z y))))
3.4b	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

61×	`log-prod`
51×	`cbrt-prod`
46×	`*-un-lft-identity`
43×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `rem-log-exp` `flip-+`
6×	`pow1` `distribute-lft-out`
5×	`div-exp`
4×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `pow1/3` `associate-r/` `associate-l/` `log-pow` `div-inv`

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
20.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

series541.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt y)
189.0ms	(cbrt y)
77.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
89.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

simplify91.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	438	1158
1	1101	1086
2	3541	1043
3	5002	1001

prune484.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt y)
190.0ms	(cbrt y)
72.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
80.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	310	1470
1	757	1424
2	2327	1392
3	5001	1324

prune576.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1`
1×	`cbrt-undiv` `+-commutative` `exp-neg` `frac-2neg` `mul-1-neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `associate-/l/` `distribute-lft-out`

Counts

2 → 40

Calls

2 calls:

10.0ms	(/ (exp (* -1 z)) y)
16.0ms	(+ x (/ (exp (* -1 z)) y))

series46.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ (exp (* -1 z)) y)
25.0ms	(+ x (/ (exp (* -1 z)) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	176	274
1	464	258
2	2001	256
3	5001	256

prune103.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes61.0ms

Accuracy

-29.1% (1.4b remaining)

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

bsearch52.0ms

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	42	21
1	44	21
2	44	21

end0.0ms

sample1.5s

Algorithm

intervals

Results

320.0ms	745×	body	1280	valid
301.0ms	6592×	body	80	valid
245.0ms	963×	body	640	valid
97.0ms	599×	body	320	valid
92.0ms	3038×	body	80	nan
35.0ms	320×	body	160	valid