Details

sample50.0ms

Algorithm

intervals

Results

11.0ms	41×	body	640	valid
10.0ms	23×	body	1280	valid
10.0ms	209×	body	80	valid
4.0ms	20×	body	320	valid
3.0ms	84×	body	80	nan
1.0ms	8×	body	160	valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

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))))
8.9b	(log (/ y (+ z y)))

rewrite94.0ms

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:

67.0ms	(+ 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)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
37.0ms	(/ y (+ z y))
75.0ms	(* y (log (/ y (+ z y))))
46.0ms	(log (/ y (+ z y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (37.0ms)

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

prune301.0ms

Filtered

141 candidates to 90 candidates (63.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
3.3b	(log (/ (cbrt y) (cbrt (+ z y))))
3.3b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 146

Calls

4 calls:

2.0ms	(cbrt (+ z y))
2.0ms	(cbrt (+ z y))
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (+ z y))
122.0ms	(cbrt (+ z y))
69.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
72.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify139.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	353	1566
1	961	1516
2	4057	1484
3	5002	1484

prune708.0ms

Filtered

158 candidates to 128 candidates (81.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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)

series42.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ x (/ (exp (* -1 z)) y))
19.0ms	(/ (exp (* -1 z)) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	176	274
1	464	258
2	2001	256
3	5002	256

prune97.0ms

Filtered

46 candidates to 35 candidates (76.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* -1 z)) y)
0.0b	(+ x (cbrt (pow (/ (exp (* -1 z)) y) 3)))
0.1b	(pow (/ (exp (* -1 z)) y) 3)
28.0b	(cbrt (pow (/ (exp (* -1 z)) y) 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
44×	`*-un-lft-identity`
42×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
9×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`add-log-exp`
5×	`pow1` `div-inv`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `exp-neg` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `mul-1-neg` `flip3-+` `pow1/3` `clear-num` `sum-log` `rem-cbrt-cube` `flip-+` `associate-/l/` `distribute-lft-out`

Counts

4 → 128

Calls

4 calls:

3.0ms	(/ (exp (* -1 z)) y)
22.0ms	(+ x (cbrt (pow (/ (exp (* -1 z)) y) 3)))
5.0ms	(pow (/ (exp (* -1 z)) y) 3)
4.0ms	(cbrt (pow (/ (exp (* -1 z)) y) 3))

series113.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (exp (* -1 z)) y)
30.0ms	(+ x (cbrt (pow (/ (exp (* -1 z)) y) 3)))
38.0ms	(pow (/ (exp (* -1 z)) y) 3)
26.0ms	(cbrt (pow (/ (exp (* -1 z)) y) 3))

simplify64.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	428	1010
1	2009	895
2	5001	879

prune260.0ms

Filtered

140 candidates to 80 candidates (57.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	18
1	29	18
2	29	18

end0.0ms

sample1.4s

Algorithm

intervals

Results

346.0ms	759×	body	1280	valid
320.0ms	6611×	body	80	valid
249.0ms	913×	body	640	valid
108.0ms	614×	body	320	valid
102.0ms	2953×	body	80	nan
30.0ms	275×	body	160	valid