Details

sample52.0ms

Algorithm

intervals

Results

11.0ms	38×	body	640	valid
10.0ms	201×	body	80	valid
9.0ms	19×	body	1280	valid
3.0ms	17×	body	320	valid
3.0ms	76×	body	80	nan
2.0ms	21×	body	160	valid

simplify121.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
10.9b	(log (/ y (+ z y)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
41×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `associate-/r/` `add-cbrt-cube`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-r` `associate-/r*` `div-inv`
3×	`associate-l` `associate-/l*`
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 → 129

Calls

4 calls:

64.0ms	(+ x (/ (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)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
39.0ms	(/ y (+ z y))
78.0ms	(* y (log (/ y (+ z y))))
50.0ms	(log (/ y (+ z y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	381	1006
1	1513	928
2	5001	904

prune299.0ms

Filtered

141 candidates to 90 candidates (63.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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 y)
0.0ms	(cbrt y)
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series482.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt y)
173.0ms	(cbrt y)
65.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
70.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify81.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 3 (66.0ms)

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

prune522.0ms

Filtered

152 candidates to 102 candidates (67.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:

6.0ms	(+ x (/ (exp (* -1 z)) y))
3.0ms	(/ (exp (* -1 z)) y)

series40.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ x (/ (exp (* -1 z)) y))
19.0ms	(/ (exp (* -1 z)) y)

simplify64.0ms

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	5002	256

prune100.0ms

Filtered

46 candidates to 35 candidates (76.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (exp (- (* -1 z) (log y))))
1.7b	(exp (- (* -1 z) (log y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`*-un-lft-identity`
3×	`add-sqr-sqrt` `add-cube-cbrt` `exp-prod`
2×	`pow1` `add-exp-log` `exp-sum` `add-cbrt-cube` `rem-exp-log`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `diff-log` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

8.0ms	(+ x (exp (- (* -1 z) (log y))))
9.0ms	(exp (- (* -1 z) (log y)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (exp (- (* -1 z) (log y))))
36.0ms	(exp (- (* -1 z) (log y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	153	214
1	389	193
2	1591	183
3	5002	176

prune76.0ms

Filtered

33 candidates to 25 candidates (75.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes64.0ms

Accuracy

28.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.0b

bsearch57.0ms

Steps

Iters	Range		Point
7	-2.46786256225829e+152	-1.4913639427070542e+150	-2.6038622265585177e+151

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	20
1	31	20

end0.0ms

sample1.5s

Algorithm

intervals

Results

374.0ms	802×	body	1280	valid
320.0ms	6517×	body	80	valid
247.0ms	908×	body	640	valid
109.0ms	3115×	body	80	nan
102.0ms	583×	body	320	valid
39.0ms	337×	body	160	valid