Details

sample48.0ms

Algorithm

intervals

Results

10.0ms	216×	body	80	valid
8.0ms	30×	body	640	valid
8.0ms	18×	body	1280	valid
4.0ms	23×	body	320	valid
3.0ms	97×	body	80	nan
1.0ms	8×	body	160	valid

simplify111.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

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))))
8.2b	(log (/ y (+ z y)))

rewrite57.0ms

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:

31.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms	(/ y (+ z y))
8.0ms	(* y (log (/ y (+ z y))))
8.0ms	(log (/ y (+ z y)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
39.0ms	(/ y (+ z y))
78.0ms	(* y (log (/ y (+ z y))))
51.0ms	(log (/ y (+ z y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (35.0ms)

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

prune321.0ms

Filtered

141 candidates to 90 candidates (63.8%)

Pruning

3 alts after pruning (3 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)
3.0b	(log (/ (cbrt y) (cbrt (+ z y))))
3.0b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite28.0ms

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)
11.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series504.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
183.0ms	(cbrt y)
73.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
68.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify72.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 3 (58.0ms)

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

prune534.0ms

Filtered

152 candidates to 102 candidates (67.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

9.0ms	(+ x (/ (exp (* -1 z)) y))
4.0ms	(/ (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)

simplify61.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (14.0ms)

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

prune103.0ms

Filtered

46 candidates to 35 candidates (76.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))
0.3b	(cbrt (/ (exp (* -1 z)) y))
0.3b	(cbrt (/ (exp (* -1 z)) y))
0.3b	(cbrt (/ (exp (* -1 z)) y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

12.0ms	(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))
3.0ms	(cbrt (/ (exp (* -1 z)) y))
3.0ms	(cbrt (/ (exp (* -1 z)) y))
3.0ms	(cbrt (/ (exp (* -1 z)) y))

series305.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))
72.0ms	(cbrt (/ (exp (* -1 z)) y))
74.0ms	(cbrt (/ (exp (* -1 z)) y))
66.0ms	(cbrt (/ (exp (* -1 z)) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	325	1726
1	1144	1645
2	5002	1565

prune492.0ms

Filtered

156 candidates to 126 candidates (80.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes55.0ms

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

sample1.5s

Algorithm

intervals

Results

349.0ms	781×	body	1280	valid
312.0ms	6548×	body	80	valid
251.0ms	934×	body	640	valid
105.0ms	3060×	body	80	nan
102.0ms	588×	body	320	valid
35.0ms	325×	body	160	valid