Details

sample50.0ms

Algorithm

intervals

Results

13.0ms	219×	body	80	valid
9.0ms	22×	body	1280	valid
7.0ms	28×	body	640	valid
3.0ms	100×	body	80	nan
3.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify122.0ms

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	4136	7
7	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 7.7b

Counts

2 → 1

localize9.0ms

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))))
9.7b	(log (/ y (+ z y)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
43×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
15×	`distribute-lft-out`
11×	`add-exp-log`
10×	`log-div`
8×	`pow1` `associate-/r` `associate-/r/` `add-cbrt-cube` `associate-/l`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-r` `log-rec` `clear-num` `div-inv`
3×	`associate-l`
2×	`frac-2neg` `div-exp` `rem-log-exp` `log-pow` `distribute-rgt-neg-out`
1×	`cbrt-undiv` `+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

38.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms	(/ y (+ z y))
9.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
47.0ms	(/ y (+ z y))
84.0ms	(* y (log (/ y (+ z y))))
50.0ms	(log (/ y (+ z y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	391	1070
1	1572	983
2	5001	961

prune255.0ms

Filtered

154 candidates to 98 candidates (63.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	153	2	155

Merged error: 0.0b

Counts

155 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.9b	(log (/ (cbrt y) (cbrt (+ z y))))
2.9b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

110×	`cbrt-prod`
98×	`*-un-lft-identity`
96×	`log-prod`
84×	`times-frac`
68×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`log-div`
14×	`associate-/r` `distribute-lft-out` `associate-/l`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `rem-log-exp` `log-rec` `clear-num` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`frac-2neg` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 174

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
12.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series529.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt y)
187.0ms	(cbrt y)
79.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
78.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify111.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	338	1756
1	877	1698
2	3049	1668
3	5002	1588

prune516.0ms

Filtered

186 candidates to 124 candidates (66.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	186	2	188

Merged error: 0.0b

Counts

188 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

9.0ms	(+ x (/ (exp (* -1 z)) y))
7.0ms	(/ (exp (* -1 z)) y)

series43.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ x (/ (exp (* -1 z)) y))
20.0ms	(/ (exp (* -1 z)) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	173	276
1	461	261
2	1926	259
3	5001	259

prune75.0ms

Filtered

47 candidates to 35 candidates (74.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	47	2	49

Merged error: 0.0b

Counts

49 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`add-exp-log`
14×	`add-cube-cbrt`
13×	`associate-r`
11×	`times-frac`
10×	`exp-neg` `mul-1-neg`
9×	`frac-times` `associate-*r/`
8×	`prod-exp`
7×	`add-cbrt-cube` `associate-/l*`
6×	`associate-/r*`
4×	`pow1` `div-exp` `associate-l` `add-log-exp`
3×	`clear-num` `un-div-inv` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `*-commutative` `cbrt-unprod` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `exp-prod` `flip3-+` `associate-*l/` `sum-log` `flip-+` `div-inv` `inv-pow`

Counts

2 → 74

Calls

2 calls:

11.0ms	(+ x (* (exp (* -1 z)) (/ 1 y)))
14.0ms	(* (exp (* -1 z)) (/ 1 y))

series47.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ x (* (exp (* -1 z)) (/ 1 y)))
21.0ms	(* (exp (* -1 z)) (/ 1 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	318	411
1	1230	365
2	5001	338

prune105.0ms

Filtered

80 candidates to 51 candidates (63.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	80	2	82

Merged error: 0.0b

Counts

82 → 2

regimes45.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms

sample1.4s

Algorithm

intervals

Results

315.0ms	715×	body	1280	valid
306.0ms	6624×	body	80	valid
237.0ms	917×	body	640	valid
104.0ms	3169×	body	80	nan
94.0ms	555×	body	320	valid
34.0ms	326×	body	160	valid