Details

analyze895.0ms

Algorithm: search

sample54.0ms

Algorithm

intervals

Results

12.0ms	194×	body	80	valid
11.0ms	21×	body	1280	valid
7.0ms	23×	body	640	valid
4.0ms	5×	body	320	invalid
2.0ms	9×	body	320	valid
1.0ms	3×	body	1280	invalid
1.0ms	9×	body	160	valid
1.0ms	25×	body	80	nan
1.0ms	15×	body	80	invalid
1.0ms	3×	body	640	invalid
0.0ms	1×	body	160	invalid

simplify118.0ms

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

prune4.0ms

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: 5.8b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
9.0b	(log (/ y (+ z y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`associate-r` `associate-/r*`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `exp-to-pow` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 163

Calls

4 calls:

5.0ms	(/ y (+ z y))
7.0ms	(exp (* y (log (/ y (+ z y)))))
8.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ y (+ z y))
18.0ms	(exp (* y (log (/ y (+ z y)))))
18.0ms	(* y (log (/ y (+ z y))))
13.0ms	(log (/ y (+ z y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	673	1363
1	2775	1268
2	5002	1257

prune204.0ms

Filtered

100 candidates to 175 candidates (-75.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	171	4	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	4	176

Merged error: 0.3b

Counts

176 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
0.0b	(/ y (+ z y))
0.1b	(pow (exp y) (log (/ y (+ z y))))
9.0b	(log (/ y (+ z y)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
36×	`log-prod` `times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-up`
11×	`distribute-lft-out`
9×	`add-exp-log`
7×	`pow1`
6×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
4×	`pow-unpow` `pow-pow` `flip3-+` `associate-/r*` `flip-+`
3×	`unpow-prod-down` `exp-prod` `div-inv` `associate-/l*`
2×	`log-div` `div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `sum-log` `pow-sub` `sqr-pow`

Counts

4 → 114

Calls

4 calls:

24.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
5.0ms	(/ y (+ z y))
7.0ms	(pow (exp y) (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
5.0ms	(/ y (+ z y))
57.0ms	(pow (exp y) (log (/ y (+ z y))))
12.0ms	(log (/ y (+ z y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	630	1046
1	2338	938
2	5001	933

prune165.0ms

Filtered

92 candidates to 126 candidates (-37.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	125	5	130

Merged error: 0.3b

Counts

130 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))) (cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))))
9.0b	(log (/ y (+ z y)))
9.0b	(log (/ y (+ z y)))
9.0b	(log (/ y (+ z y)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
54×	`log-prod`
44×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `times-frac`
24×	`cbrt-prod`
15×	`add-exp-log` `distribute-lft-out`
14×	`pow1`
12×	`cbrt-div`
9×	`flip3-+` `swap-sqr` `flip-+`
7×	`associate-r` `associate-l`
6×	`pow1/3` `rem-log-exp` `associate-/r/`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`log-div` `div-exp` `log-pow` `div-inv`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 140

Calls

4 calls:

50.0ms	(* (cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))) (cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))))
5.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))

series112.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))) (cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))))
12.0ms	(log (/ y (+ z y)))
12.0ms	(log (/ y (+ z y)))
12.0ms	(log (/ y (+ z y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	467	1885
1	1572	1761
2	5002	1579

prune183.0ms

Filtered

102 candidates to 152 candidates (-49.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	150	7	157

Merged error: 0.3b

Counts

157 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

9.0b	(log (/ y (+ z y)))
9.0b	(log (/ y (+ z y)))
9.0b	(log (/ y (+ z y)))
9.0b	(log (/ y (+ z y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

72×	`log-prod`
60×	`*-un-lft-identity`
48×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log`
12×	`distribute-lft-out`
8×	`pow1` `rem-log-exp` `associate-/r/`
4×	`log-div` `flip3-+` `div-exp` `log-pow` `add-cbrt-cube` `flip-+` `div-inv` `add-log-exp`

Counts

4 → 116

Calls

4 calls:

5.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(log (/ y (+ z y)))
12.0ms	(log (/ y (+ z y)))
15.0ms	(log (/ y (+ z y)))
12.0ms	(log (/ y (+ z y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	160	808
1	336	744
2	778	712
3	2013	704
4	5001	704

prune179.0ms

Filtered

92 candidates to 128 candidates (-39.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	128	7	135

Merged error: 0.3b

Counts

135 → 7

regimes207.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.5b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

analyze899.0ms

Algorithm: search

sample1.5s

Algorithm

intervals

Results

382.0ms	6068×	body	80	valid
330.0ms	655×	body	1280	valid
218.0ms	691×	body	640	valid
82.0ms	387×	body	320	valid
73.0ms	241×	body	640	invalid
47.0ms	1027×	body	80	nan
45.0ms	97×	body	1280	invalid
34.0ms	167×	body	320	invalid
27.0ms	199×	body	160	valid
20.0ms	343×	body	80	invalid
13.0ms	100×	body	160	invalid

Details

analyze895.0ms

sample54.0ms

simplify118.0ms

prune4.0ms

localize10.0ms

rewrite33.0ms

series54.0ms

simplify76.0ms

prune204.0ms

localize10.0ms

rewrite45.0ms

series96.0ms

simplify68.0ms

prune165.0ms

localize17.0ms

rewrite70.0ms

series112.0ms

simplify62.0ms

prune183.0ms

localize25.0ms

rewrite24.0ms

series51.0ms

simplify64.0ms

prune179.0ms

regimes207.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze899.0ms

sample1.5s

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